Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
340 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 340 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. Q8×Dic118 | C2 | semidirect |
| 3. #16837809 | C2 | semidirect |
| 4. #16837807 | C2 | semidirect |
| 5. #16837711 | C2 | semidirect |
| 6. #16837697 | C2 | semidirect |
| 9. #16837532 | C2 | semidirect |
| 49. SD16×C59 | Q8 | semidirect |
| 127. C59 | #3385 | semidirect |
| 165. SD16 | Dic118 | semidirect |