Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
844 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 844 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14273772 | C2 | semidirect |
| 2. C2×#14273755 | C2 | semidirect |
| 3. C2×#14273723 | C2 | semidirect |
| 4. #16837572 | C2 | direct (N × H) |
| 5. C2×#14273653 | C2 | semidirect |
| 6. C2×#100×C59 | C2 | semidirect |
| 9. #14273772 | C22 | semidirect |
| 12. C22×D236 | C22 | semidirect |
| 17. #14273755 | C22 | semidirect |
| 21. #14273723 | C22 | semidirect |
| 22. C2×C4×Dic59 | C22 | semidirect |
| 23. #14273653 | C22 | semidirect |
| 25. C2×M16×C59 | C22 | semidirect |
| 26. #100×C59 | C22 | semidirect |
| 49. #11745685 | D4 | semidirect |
| 54. C2×D236 | D4 | semidirect |
| 55. C2×D236 | C23 | semidirect |
| 57. C2×Dic118 | D4 | semidirect |
| 59. M16×C59 | C23 | semidirect |
| 62. C4×Dic59 | C23 | semidirect |
| 94. D236 | C2×D4 | semidirect |
| 98. Dic118 | C2×D4 | semidirect |
| 123. C2×C59 | #453 | semidirect |
| 132. C2×#100 | D59 | semidirect |
| 133. C59 | C2×#453 | semidirect |
| 148. C2×M16 | C2×D59 | semidirect |
| 153. #100 | C2×D59 | semidirect |
| 188. M16 | C22×D59 | semidirect |
| 251. C2 | #16837572 | direct (N × H) |