Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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×#14556622 | C2 | semidirect |
| 3. #17988966 | C2 | semidirect |
| 4. #17988843 | C2 | semidirect |
| 5. #17988797 | C2 | semidirect |
| 6. #17988789 | C2 | semidirect |
| 7. #17988747 | C2 | semidirect |
| 8. #17988743 | C2 | semidirect |
| 9. C4×#11924015 | C2 | semidirect |
| 10. #17988665 | C2 | semidirect |
| 11. D4×Q8×C73 | C2 | semidirect |
| 53. #11924015 | D4 | semidirect |
| 124. C4×C73 | #137 | semidirect |
| 135. C73 | #3276 | semidirect |
| 137. D4×Q8 | D73 | semidirect |
| 261. C4 | #14556622 | semidirect |