Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
232 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 66 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. C2×#14556666 | C2 | semidirect |
| 2. C2×#14556659 | C2 | semidirect |
| 3. #17989503 | C2 | direct (N × H) |
| 7. #14556666 | C22 | semidirect |
| 10. #14556659 | C22 | semidirect |
| 14. #14556610 | C4 | semidirect |
| 16. C2×Dic292 | C4 | semidirect |
| 19. C2×D8×C73 | C4 | semidirect |
| 33. Dic292 | C2×C4 | semidirect |
| 43. D8×C73 | C2×C4 | semidirect |
| 81. C2×C73 | #360 | semidirect |
| 86. C73 | C2×#360 | semidirect |
| 98. C2×D8 | #64408 | semidirect |
| 121. D8 | C2×#64408 | semidirect |
| 169. C2 | #17989503 | direct (N × H) |