Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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. C2×#14556610 | C2 | semidirect |
| 2. #17989241 | C2 | semidirect |
| 3. #17988967 | C2 | semidirect |
| 4. #17988829 | C2 | semidirect |
| 5. #17988792 | C2 | semidirect |
| 6. #17988750 | C2 | semidirect |
| 7. C8×D292 | C2 | semidirect |
| 8. C4×D8×C73 | C2 | semidirect |
| 49. D8×C73 | D4 | semidirect |
| 85. C4×C73 | #135 | semidirect |
| 96. C73 | #3283 | semidirect |
| 103. C4×D8 | D73 | semidirect |
| 137. D8 | D292 | semidirect |
| 183. C4 | #14556610 | semidirect |