Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
316 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 2. C2×#14556660 | C2 | semidirect |
| 3. C2×#14556659 | C2 | semidirect |
| 5. #17989461 | C2 | semidirect |
| 6. #17989461 | C2 | semidirect |
| 23. C22⋊#10596831 | C4 | semidirect |
| 24. #14556503 | C4 | semidirect |
| 25. #14556503 | C4 | semidirect |
| 26. C22⋊C8×C73 | C4 | semidirect |
| 141. C73 | #1854 | semidirect |
| 166. C22⋊C8 | #64408 | semidirect |