Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 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×D292 | C2 | semidirect |
| 2. #17988997 | C2 | semidirect |
| 3. #17988983 | C2 | semidirect |
| 4. #17988884 | C2 | semidirect |
| 5. #17988877 | C2 | semidirect |
| 6. #17988874 | C2 | semidirect |
| 7. #17988867 | C2 | semidirect |
| 8. #17988718 | C2 | semidirect |
| 11. #554×C73 | C2 | semidirect |
| 47. #11924013 | Q8 | semidirect |
| 78. D4×C73 | C2×Q8 | semidirect |
| 98. #10596831 | C2×Q8 | semidirect |
| 122. C73 | #3384 | semidirect |
| 123. #554 | D73 | semidirect |
| 204. D4 | Q8×D73 | semidirect |