Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
492 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 492 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×Q16×D59 | C2 | semidirect |
| 4. #16837661 | C2 | semidirect |
| 5. #16837660 | C2 | semidirect |
| 6. #16837659 | C2 | semidirect |
| 7. #16837658 | C2 | semidirect |
| 8. #16837657 | C2 | semidirect |
| 9. #106×D59 | C2 | semidirect |
| 10. #103×D59 | C2 | semidirect |
| 11. C59×#470 | C2 | semidirect |
| 14. C2×Dic236 | C22 | semidirect |
| 15. C2×#11745672 | C22 | semidirect |
| 31. #14273659 | C22 | semidirect |
| 32. #14273658 | C22 | semidirect |
| 33. #14273652 | C22 | semidirect |
| 34. #14273651 | C22 | semidirect |
| 35. #14273650 | C22 | semidirect |
| 36. C2×Q16×C59 | C22 | semidirect |
| 39. #106×C59 | C22 | semidirect |
| 40. #103×C59 | C22 | semidirect |
| 136. D59 | #470 | direct (N × H) |
| 145. #470 | D59 | direct (N × H) |
| 148. C59 | C2×#470 | semidirect |
| 154. C2×Q16 | C2×D59 | semidirect |
| 173. #106 | C2×D59 | semidirect |
| 177. #103 | C2×D59 | semidirect |