Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
264 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 78 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. #17989605 | C2 | semidirect |
| 2. #17989588 | C2 | semidirect |
| 3. Q8⋊#10596833 | C2 | semidirect |
| 4. #17989435 | C2 | semidirect |
| 27. #11924029 | C8 | semidirect |
| 54. Q8×C73 | C2×C8 | semidirect |
| 66. D292 | C2×C8 | semidirect |
| 102. C73 | #1477 | semidirect |
| 156. Q8 | #11924036 | semidirect |