Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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×#13063358 | C2 | semidirect |
| 2. C2×#13063355 | C2 | semidirect |
| 4. C2×#13063290 | C2 | semidirect |
| 5. #14583124 | C2 | semidirect |
| 6. #14583120 | C2 | semidirect |
| 7. #14583108 | C2 | semidirect |
| 8. #14583098 | C2 | semidirect |
| 9. #14582922 | C2 | semidirect |
| 10. #14582898 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 65. C2×Dic86 | D4 | semidirect |
| 150. Dic43 | #137 | semidirect |
| 168. #417 | D43 | semidirect |
| 169. C43 | #3037 | semidirect |