Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17989241 | C2 | semidirect |
| 2. #17988933 | C2 | semidirect |
| 3. #17988903 | C2 | semidirect |
| 4. #17988872 | C2 | semidirect |
| 5. #17988838 | C2 | semidirect |
| 6. #17988779 | C2 | semidirect |
| 7. #17988732 | C2 | semidirect |
| 8. C4×#11924015 | C2 | semidirect |
| 9. #17988665 | C2 | semidirect |
| 10. #17988588 | C2 | semidirect |
| 11. #550×C73 | C2 | semidirect |
| 81. Q8×C73 | #41 | semidirect |
| 135. C73 | #3332 | semidirect |
| 136. #550 | D73 | semidirect |
| 217. Q8 | #11924027 | semidirect |