Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #17989061 | C2 | semidirect |
| 3. #17988605 | C2 | semidirect |
| 4. #17988591 | C2 | semidirect |
| 5. #17988560 | C2 | semidirect |
| 6. #17988358 | C2 | semidirect |
| 7. H(3,ℤ/4)×C73 | C2 | semidirect |
| 12. C2×#11924017 | C4 | semidirect |
| 13. C2×D584 | C4 | semidirect |
| 30. C2×Dic146 | C2×C4 | semidirect |
| 35. C2×D292 | C2×C4 | semidirect |
| 53. C2×C8×C73 | C2×C4 | semidirect |
| 116. C73 | #1904 | semidirect |
| 123. H(3,ℤ/4) | D73 | semidirect |
| 165. C2×C8 | C4×D73 | semidirect |