Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
264 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 73 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. C4×#11924012 | C2 | semidirect |
| 3. #17988326 | C2 | semidirect |
| 4. #432×C73 | C2 | semidirect |
| 14. #14556502 | C22 | semidirect |
| 19. #97×C73 | C22 | semidirect |
| 85. C73 | #1527 | semidirect |
| 87. #432 | D73 | semidirect |
| 103. #97 | C2×D73 | semidirect |