Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
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. #17989316 | C2 | semidirect |
| 3. #17988994 | C2 | semidirect |
| 4. #17988992 | C2 | semidirect |
| 6. #17988880 | C2 | semidirect |
| 7. #17988872 | C2 | semidirect |
| 9. #17988717 | C2 | semidirect |
| 64. SD16×C73 | Q8 | semidirect |
| 75. Q8×C73 | C2×Q8 | semidirect |
| 95. C8×C73 | C2×Q8 | semidirect |
| 117. C73 | #3386 | semidirect |
| 167. SD16 | Dic146 | semidirect |
| 196. Q8 | C2×Dic146 | semidirect |
| 213. C8 | C2×Dic146 | semidirect |