Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14582952 | C2 | semidirect |
| 3. #14582624 | C2 | semidirect |
| 5. C43×#431 | C2 | semidirect |
| 33. C2×C4×D43 | C8 | semidirect |
| 105. #431 | D43 | semidirect |
| 108. C43 | #1458 | semidirect |