Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
496 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 496 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×#14273758 | C2 | semidirect |
| 2. C2×M16×D59 | C2 | semidirect |
| 4. C2×#14273703 | C2 | semidirect |
| 5. #16837659 | C2 | semidirect |
| 6. #16837651 | C2 | semidirect |
| 7. #16837642 | C2 | semidirect |
| 8. #16837634 | C2 | semidirect |
| 9. #16837445 | C2 | semidirect |
| 10. #16837404 | C2 | semidirect |
| 11. C59×#419 | C2 | semidirect |
| 15. C2×#11745672 | C22 | semidirect |
| 16. C2×#11745671 | C22 | semidirect |
| 36. #14273660 | C22 | semidirect |
| 37. #14273658 | C22 | semidirect |
| 38. #14273652 | C22 | semidirect |
| 39. #14273649 | C22 | semidirect |
| 43. #103×C59 | C22 | semidirect |
| 44. #103×C59 | C22 | semidirect |
| 88. #11745664 | D4 | semidirect |
| 145. C2×D59 | #137 | semidirect |
| 173. #419 | D59 | semidirect |
| 175. C59 | #3056 | semidirect |
| 206. #103 | C2×D59 | semidirect |
| 207. #103 | C2×D59 | semidirect |