Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 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. #16838131 | C2 | semidirect |
| 3. #16837809 | C2 | semidirect |
| 4. #16837807 | C2 | semidirect |
| 6. #16837695 | C2 | semidirect |
| 7. #16837687 | C2 | semidirect |
| 9. #16837532 | C2 | semidirect |
| 50. SD16×C59 | Q8 | semidirect |
| 75. Q8×C59 | C2×Q8 | semidirect |
| 95. C8×C59 | C2×Q8 | semidirect |
| 128. C59 | #3386 | semidirect |
| 167. SD16 | Dic118 | semidirect |
| 196. Q8 | C2×Dic118 | semidirect |
| 213. C8 | C2×Dic118 | semidirect |