An intermediate casing for a gas turbine engine, said intermediate casing: - having a longitudinal axis (X-X), - comprising: o an inner wall having an outer radial surface with respect to the longitudinal axis (X-X), ∘ an outer wall having an inner radial surface with respect to the longitudinal axis (X-X), facing the outer radial surface, and ∘ a first arm, a second arm, a third arm, and a fourth arm extending radially from the outer radial surface to the inner radial surface, and - wherein: ∘ the outer radial surface, the inner radial surface, the first arm and the second arm define between them a first space having a first area in a first section plane of said intermediate casing, perpendicular to the longitudinal axis (X-X), ∘ the outer radial surface and the inner radial surface are separated, in the first space and in the first section plane, by a radial distance of the first space, with respect to the longitudinal axis (X-X), ∘ the outer radial surface, the inner radial surface, the third arm and the fourth arm define between them a second space having a second area in the first section plane, ∘ the outer radial surface and the inner radial surface are separated, in the second space and in the first section plane, by a radial distance of the second space, with respect to the longitudinal axis (X-X), the intermediate casing being characterized in that the inner radial surface and/or the outer radial surface have, in the first section plane, profiles adapted so that: - the first area and the second area are substantially identical, and - the radial distance of the first space and the radial distance of the second space are different. - having a longitudinal axis (X-X), - comprising: o an inner wall having an outer radial surface with respect to the longitudinal axis (X-X), ∘ an outer wall having an inner radial surface with respect to the longitudinal axis (X-X), facing the outer radial surface, and ∘ a first arm, a second arm, a third arm, and a fourth arm extending radially from the outer radial surface to the inner radial surface, and o an inner wall having an outer radial surface with respect to the longitudinal axis (X-X), ∘ an outer wall having an inner radial surface with respect to the longitudinal axis (X-X), facing the outer radial surface, and ∘ a first arm, a second arm, a third arm, and a fourth arm extending radially from the outer radial surface to the inner radial surface, and - wherein: ∘ the outer radial surface, the inner radial surface, the first arm and the second arm define between them a first space having a first area in a first section plane of said intermediate casing, perpendicular to the longitudinal axis (X-X), ∘ the outer radial surface and the inner radial surface are separated, in the first space and in the first section plane, by a radial distance of the first space, with respect to the longitudinal axis (X-X), ∘ the outer radial surface, the inner radial surface, the third arm and the fourth arm define between them a second space having a second area in the first section plane, ∘ the outer radial surface and the inner radial surface are separated, in the second space and in the first section plane, by a radial distance of the second space, with respect to the longitudinal axis (X-X), the intermediate casing being characterized in that the inner radial surface and/or the outer radial surface have, in the first section plane, profiles adapted so that: - the first area and the second area are substantially identical, and - the radial distance of the first space and the radial distance of the second space are different. ∘ the outer radial surface, the inner radial surface, the first arm and the second arm define between them a first space having a first area in a first section plane of said intermediate casing, perpendicular to the longitudinal axis (X-X), ∘ the outer radial surface and the inner radial surface are separated, in the first space and in the first section plane, by a radial distance of the first space, with respect to the longitudinal axis (X-X), ∘ the outer radial surface, the inner radial surface, the third arm and the fourth arm define between them a second space having a second area in the first section plane, ∘ the outer radial surface and the inner radial surface are separated, in the second space and in the first section plane, by a radial distance of the second space, with respect to the longitudinal axis (X-X), the intermediate casing being characterized in that the inner radial surface and/or the outer radial surface have, in the first section plane, profiles adapted so that: - the first area and the second area are substantially identical, and - the radial distance of the first space and the radial distance of the second space are different. - the first area and the second area are substantially identical, and - the radial distance of the first space and the radial distance of the second space are different.