Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14556150 | C2 | semidirect |
| 2. #17986670 | C2 | semidirect |
| 3. #17986654 | C2 | semidirect |
| 4. #17986372 | C2 | semidirect |
| 5. #17986228 | C2 | semidirect |
| 6. #17986210 | C2 | semidirect |
| 7. #17986195 | C2 | semidirect |
| 8. #17986163 | C2 | semidirect |
| 9. #17986146 | C2 | semidirect |
| 10. C4×#11765854 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 61. #11765854 | D4 | semidirect |
| 127. C4×C71 | #135 | semidirect |
| 141. C71 | #3284 | semidirect |
| 152. C8×D4 | D71 | semidirect |
| 272. C4 | #14556150 | semidirect |