Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17986721 | C2 | semidirect |
| 2. #17986392 | C2 | semidirect |
| 4. #17986221 | C2 | semidirect |
| 6. #17986208 | C2 | semidirect |
| 7. #17986129 | C2 | semidirect |
| 8. #17986098 | C2 | semidirect |
| 9. C4×Q16×C71 | C2 | semidirect |
| 103. C71 | #3402 | semidirect |
| 112. C4×Q16 | D71 | semidirect |