Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16837885 | C2 | semidirect |
| 2. #16837740 | C2 | semidirect |
| 3. #16837730 | C2 | semidirect |
| 4. #16837723 | C2 | semidirect |
| 5. #16837718 | C2 | semidirect |
| 6. #16837442 | C2 | semidirect |
| 7. C2×#14273658 | C2 | semidirect |
| 8. #16837403 | C2 | semidirect |
| 9. #16837398 | C2 | semidirect |
| 10. #16837369 | C2 | semidirect |
| 145. C59 | #3099 | semidirect |