Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
| 4. #17989461 | C2 | semidirect |
| 17. C22⋊#10596831 | C4 | semidirect |
| 18. #14556503 | C4 | semidirect |
| 19. C22⋊C8×C73 | C4 | semidirect |
| 40. C2×#10596831 | C2×C4 | semidirect |
| 44. C2×C8×C73 | C2×C4 | semidirect |
| 80. C22×C73 | #107 | semidirect |
| 88. C2×D73 | #107 | semidirect |
| 112. C73 | #1852 | semidirect |
| 130. C22⋊C8 | #64408 | semidirect |
| 150. C2×C8 | C2×#64408 | semidirect |
| 205. C22 | #14556660 | semidirect |