Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. C2×#13063357 | C2 | semidirect |
| 2. #14583561 | C2 | semidirect |
| 3. #14583283 | C2 | semidirect |
| 4. #14583146 | C2 | semidirect |
| 5. #14583121 | C2 | semidirect |
| 6. #14583056 | C2 | semidirect |
| 7. #14583047 | C2 | semidirect |
| 8. #14582978 | C2 | semidirect |
| 9. C4×Q16×C43 | C2 | semidirect |
| 50. Q16×C43 | D4 | semidirect |
| 125. C4×Q16 | D43 | semidirect |
| 127. C43 | #3277 | semidirect |
| 170. Q16 | D172 | semidirect |