Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
738 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 157 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. C23×Dic118 | C2 | semidirect |
| 2. C2×#14273757 | C2 | semidirect |
| 3. #16837557 | C2 | semidirect |
| 4. #16837540 | C2 | semidirect |
| 5. #16837410 | C2 | semidirect |
| 6. #16837366 | C2 | semidirect |
| 15. C2×#11745672 | C22 | semidirect |
| 16. C2×#11745670 | C22 | semidirect |
| 18. #14273650 | C22 | semidirect |
| 49. C2×Dic118 | D4 | semidirect |
| 95. C22×C59 | #137 | semidirect |
| 116. C59 | #3004 | semidirect |
| 204. C22 | #14273757 | semidirect |