Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
324 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 68 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. #17989598 | C2 | semidirect |
| 4. #17989459 | C2 | semidirect |
| 17. #14556508 | C4 | semidirect |
| 18. #14556507 | C4 | semidirect |
| 19. #100×C73 | C4 | semidirect |
| 38. #11924012 | C2×C4 | semidirect |
| 42. M16×C73 | C2×C4 | semidirect |
| 94. C73 | #1856 | semidirect |
| 113. #100 | #64408 | semidirect |
| 127. M16 | C2×#64408 | semidirect |