Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #17988611 | C2 | semidirect |
| 4. #17988347 | C2 | semidirect |
| 5. C4×C4⋊C4×C73 | C2 | semidirect |
| 8. C4×Dic146 | C4 | semidirect |
| 9. C4×Dic146 | C4 | semidirect |
| 10. C4×D292 | C4 | semidirect |
| 11. C4×D292 | C4 | semidirect |
| 81. D292 | C4⋊C4 | semidirect |
| 87. Dic146 | C4⋊C4 | semidirect |
| 101. C4×C73 | #104 | semidirect |
| 116. C73 | #1806 | semidirect |
| 120. C4×C4⋊C4 | D73 | semidirect |
| 220. C4 | #14556519 | semidirect |