Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #17989132 | C2 | semidirect |
| 2. #17988984 | C2 | semidirect |
| 3. #17988962 | C2 | semidirect |
| 4. #17988932 | C2 | semidirect |
| 5. #17988840 | C2 | semidirect |
| 6. #17988838 | C2 | semidirect |
| 7. #17988699 | C2 | semidirect |
| 8. #17988698 | C2 | semidirect |
| 9. #17988696 | C2 | semidirect |
| 10. M16×Dic73 | C2 | semidirect |
| 11. #469×C73 | C2 | semidirect |
| 94. C8×C73 | #41 | semidirect |
| 96. #10596831 | #41 | semidirect |
| 119. C73 | #3184 | semidirect |
| 126. #469 | D73 | semidirect |
| 215. C8 | #11924027 | semidirect |