Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
328 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 3. #14582625 | C2 | semidirect |
| 4. #14582624 | C2 | semidirect |
| 5. C43×#324 | C2 | semidirect |
| 33. C2×C4×D43 | C8 | semidirect |
| 55. C2×C4×C43 | C2×C8 | semidirect |
| 63. C2×Dic43 | C2×C8 | semidirect |
| 98. D43 | #324 | direct (N × H) |
| 103. #324 | D43 | direct (N × H) |
| 104. C43 | C2×#324 | semidirect |
| 167. C2×C4 | C8×D43 | semidirect |