Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17989121 | C2 | semidirect |
| 2. #17988895 | C2 | semidirect |
| 3. #17988888 | C2 | semidirect |
| 4. #17988828 | C2 | semidirect |
| 6. #17988816 | C2 | semidirect |
| 7. #17988810 | C2 | semidirect |
| 8. #17988803 | C2 | semidirect |
| 9. C2×C4⋊C8×C73 | C2 | semidirect |
| 107. C73 | #3250 | semidirect |
| 116. C2×C4⋊C8 | D73 | semidirect |