Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
490 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 490 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×#14273758 | C2 | semidirect |
| 2. C22×#11745671 | C2 | semidirect |
| 4. #16837624 | C2 | semidirect |
| 5. #16837602 | C2 | semidirect |
| 6. #16837429 | C2 | semidirect |
| 7. #16837406 | C2 | semidirect |
| 8. #16837396 | C2 | semidirect |
| 9. C59×#519 | C2 | semidirect |
| 13. C2×#11745672 | C22 | semidirect |
| 16. C2×#11745671 | C22 | semidirect |
| 23. C4⋊(C59⋊C8) | C22 | semidirect |
| 24. #14273650 | C22 | semidirect |
| 26. #14273647 | C22 | semidirect |
| 29. C4×Q8×C59 | C22 | semidirect |
| 36. C2×Q8×C59 | D4 | semidirect |
| 120. #519 | D59 | semidirect |
| 126. C59 | #3043 | semidirect |
| 142. C4×Q8 | C2×D59 | semidirect |
| 156. C2×Q8 | D236 | semidirect |