Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17989238 | C2 | semidirect |
| 2. #17988991 | C2 | semidirect |
| 3. #17988902 | C2 | semidirect |
| 4. #17988900 | C2 | semidirect |
| 5. #17988866 | C2 | semidirect |
| 6. #17988824 | C2 | semidirect |
| 7. #17988823 | C2 | semidirect |
| 8. #17988669 | C2 | semidirect |
| 9. C8×C22⋊D73 | C2 | semidirect |
| 10. #107×D73 | C2 | semidirect |
| 11. C2×#107×C73 | C2 | semidirect |
| 81. C22⋊D73 | D8 | semidirect |
| 95. C8×C73 | #41 | semidirect |
| 124. C73 | #3334 | semidirect |
| 135. C2×#107 | D73 | semidirect |
| 221. C8 | #11924028 | semidirect |