Buggy python submission (verdict: Runtime Error):
import random

class Dice:
  def __init__(self, list = map(str, range(1, 7))):
    self.top = list[0]
    self.front = list[1]
    self.right = list[2]
    self.left = list[3]
    self.back = list[4]
    self.bottom = list[5]

    self.dic = {}
    for i in xrange(6):
      if list[i] in self.dic:
        self.dic[list[i]] += 1
      else:
        self.dic[list[i]] = 1

  def print_all(self):
    print "top = " + self.top + ", front = " + self.front + ", right = " + self.right + ", left = " + self.left + ", back = " + self.back + ", bottom = " + self.bottom

  def roll_N(self):
    temp = self.top
    self.top = self.front
    self.front = self.bottom
    self.bottom = self.back
    self.back = temp

  def roll_S(self):
    temp = self.top
    self.top = self.back
    self.back = self.bottom
    self.bottom = self.front
    self.front = temp

  def roll_W(self):
    temp = self.top
    self.top = self.right
    self.right = self.bottom
    self.bottom = self.left
    self.left = temp

  def roll_E(self):
    temp = self.top
    self.top = self.left
    self.left = self.bottom
    self.bottom = self.right
    self.right = temp

  def roll_C(self):
    temp = self.front
    self.front = self.right
    self.right = self.back
    self.back = self.left
    self.left = temp

  def random_roll(self):
    ram = random.randint(1, 4)
    if ram == 1:
      self.roll_E()
    elif ram == 2:
      self.roll_N()
    elif ram == 3:
      self.roll_S()
    else:
      self.roll_W()

  def getDifference(self, dice):
    same_list = []
    different_list = []
    if self.top == dice.top:
      same_list.append("top")
    else:
      different_list.append("top")
    if self.front == dice.front:
      same_list.append("front")
    else:
      different_list.append("front")
    if self.left == dice.left:
      same_list.append("left")
    else:
      different_list.append("left")
    if self.back == dice.back:
      same_list.append("back")
    else:
      different_list.append("back")
    if self.right == dice.right:
      same_list.append("right")
    else:
      different_list.append("right")
    if self.bottom == dice.bottom:
      same_list.append("bottom")
    else:
      different_list.append("bottom")

    result_list = [same_list, different_list]
    return result_list

  def getList(self):
    list = [self.top, self.front, self.right, self.left, self.back, self.bottom]
    return list

def print_dices():
  print "first dice: "
  first_dice.print_all()
  print "second dice: "
  second_dice.print_all()
  print first_dice.dic

line = "#######################################"


def judgeDices(first_dice, second_dice):
  flag = False
  num = 0
  debug = 0
  while num < 4:
    # debug += 1
    # if debug > 10:
    #   break
    # print line

    dic1_keys = first_dice.dic.keys()
    for i in xrange(len(dic1_keys)):
      if first_dice.dic[dic1_keys[i]] != second_dice.dic[dic1_keys[i]]:
        num = 4
        break

    for i in xrange(len(dic1_keys)):
      if first_dice.dic[dic1_keys[i]] == 6 or first_dice.dic[dic1_keys[i]] == 5:
        num = 4
        flag = True
        break

    # print_dices()

    diferece = first_dice.getDifference(second_dice)
    # print diferece

    same_num = len(diferece[0])
    if same_num == 6:
      break
    elif same_num == 5:
      num = 4
      break

    if "front" in diferece[0] or "back" in diferece[0]:
      first_dice.roll_W()
      num += 1
    elif "left" in diferece[0] or "right" in diferece[0]:
      first_dice.roll_S()
      num += 1
    elif "top" in diferece[0] or "bottom" in diferece[0]:
      first_dice.roll_C()
      num += 1
    else:
      first_dice.random_roll()

  if flag == True:
    return True
  elif num == 4:
    return False
  else:
    return True

n = int(raw_input())
dices = []
for i in xrange(n):
  dices.append(Dice(raw_input().split(" ")))
result = False
for i in xrange(n - 1):
  for j in xrange(i + 1, n):
    first_dice = dices[i]
    second_dice = dices[j]
    result = judgeDices(first_dice, second_dice)
    # print result
    if result:
      break
  if result:
    break

if result:
  print "No"
else:
  print "Yes"

Fixed submission:
import random

class Dice:
  def __init__(self, list = map(str, range(1, 7))):
    self.top = list[0]
    self.front = list[1]
    self.right = list[2]
    self.left = list[3]
    self.back = list[4]
    self.bottom = list[5]

    self.dic = {}
    for i in xrange(6):
      if list[i] in self.dic:
        self.dic[list[i]] += 1
      else:
        self.dic[list[i]] = 1

  def print_all(self):
    print "top = " + self.top + ", front = " + self.front + ", right = " + self.right + ", left = " + self.left + ", back = " + self.back + ", bottom = " + self.bottom

  def roll_N(self):
    temp = self.top
    self.top = self.front
    self.front = self.bottom
    self.bottom = self.back
    self.back = temp

  def roll_S(self):
    temp = self.top
    self.top = self.back
    self.back = self.bottom
    self.bottom = self.front
    self.front = temp

  def roll_W(self):
    temp = self.top
    self.top = self.right
    self.right = self.bottom
    self.bottom = self.left
    self.left = temp

  def roll_E(self):
    temp = self.top
    self.top = self.left
    self.left = self.bottom
    self.bottom = self.right
    self.right = temp

  def roll_C(self):
    temp = self.front
    self.front = self.right
    self.right = self.back
    self.back = self.left
    self.left = temp

  def random_roll(self):
    ram = random.randint(1, 4)
    if ram == 1:
      self.roll_E()
    elif ram == 2:
      self.roll_N()
    elif ram == 3:
      self.roll_S()
    else:
      self.roll_W()

  def getDifference(self, dice):
    same_list = []
    different_list = []
    if self.top == dice.top:
      same_list.append("top")
    else:
      different_list.append("top")
    if self.front == dice.front:
      same_list.append("front")
    else:
      different_list.append("front")
    if self.left == dice.left:
      same_list.append("left")
    else:
      different_list.append("left")
    if self.back == dice.back:
      same_list.append("back")
    else:
      different_list.append("back")
    if self.right == dice.right:
      same_list.append("right")
    else:
      different_list.append("right")
    if self.bottom == dice.bottom:
      same_list.append("bottom")
    else:
      different_list.append("bottom")

    result_list = [same_list, different_list]
    return result_list

  def getList(self):
    list = [self.top, self.front, self.right, self.left, self.back, self.bottom]
    return list

def print_dices():
  print "first dice: "
  first_dice.print_all()
  print "second dice: "
  second_dice.print_all()
  # print first_dice.dic

line = "#######################################"


def judgeDices(first_dice, second_dice):
  flag = False
  num = 0
  debug = 0
  while num < 4:
    # debug += 1
    # if debug > 10:
    #   break
    # print line

    dic1_keys = first_dice.dic.keys()
    # print dic1_keys
    for i in xrange(len(dic1_keys)):
      # print "i = " + str(i) + "key = " + dic1_keys[i]
      # print second_dice.dic
      if not (dic1_keys[i] in second_dice.dic):
        # print "test"
        num = 4
        break
      elif first_dice.dic[dic1_keys[i]] != second_dice.dic[dic1_keys[i]]:
        num = 4
        break

    if num >=4:
      # print ("go?")
      break

    for i in xrange(len(dic1_keys)):
      if first_dice.dic[dic1_keys[i]] == 6 or first_dice.dic[dic1_keys[i]] == 5:
        num = 4
        flag = True
        break

    # print_dices()
    if num >=4:
      break

    diferece = first_dice.getDifference(second_dice)
    # print diferece

    same_num = len(diferece[0])
    if same_num == 6:
      break
    elif same_num == 5:
      num = 4
      break

    if "front" in diferece[0] or "back" in diferece[0]:
      first_dice.roll_W()
      num += 1
    elif "left" in diferece[0] or "right" in diferece[0]:
      first_dice.roll_S()
      num += 1
    elif "top" in diferece[0] or "bottom" in diferece[0]:
      first_dice.roll_C()
      num += 1
    else:
      first_dice.random_roll()

  if flag == True:
    return True
  elif num == 4:
    return False
  else:
    return True

n = int(raw_input())
dices = []
for i in xrange(n):
  dices.append(Dice(raw_input().split(" ")))
result = False
for i in xrange(n - 1):
  for j in xrange(i + 1, n):
    first_dice = dices[i]
    second_dice = dices[j]
    # print "i = " + str(i) + ", j = " + str(j)
    # print first_dice
    # print first_dice.dic
    # print second_dice
    # print second_dice.dic
    result = judgeDices(first_dice, second_dice)
    # print result
    if result:
      break
  if result:
    break

if result:
  print "No"
else:
  print "Yes"