Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
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×#14273760 | C2 | semidirect |
| 2. C2×#14273757 | C2 | semidirect |
| 4. C2×#14273692 | C2 | semidirect |
| 5. #16837627 | C2 | semidirect |
| 6. #16837623 | C2 | semidirect |
| 7. #16837611 | C2 | semidirect |
| 8. #16837601 | C2 | semidirect |
| 9. #16837425 | C2 | semidirect |
| 10. #16837401 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 65. C2×Dic118 | D4 | semidirect |
| 150. Dic59 | #137 | semidirect |
| 168. #417 | D59 | semidirect |
| 169. C59 | #3037 | semidirect |