Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 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. #17989315 | C2 | semidirect |
| 3. #17988989 | C2 | semidirect |
| 4. #17988985 | C2 | semidirect |
| 5. #17988895 | C2 | semidirect |
| 7. #17988883 | C2 | semidirect |
| 11. C8×Q8×C73 | C2 | semidirect |
| 47. #11924017 | Q8 | semidirect |
| 115. C73 | #3381 | semidirect |
| 124. C8×Q8 | D73 | semidirect |