Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 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. #17986812 | C2 | semidirect |
| 2. #17986441 | C2 | semidirect |
| 3. #17986440 | C2 | semidirect |
| 4. #17986432 | C2 | semidirect |
| 5. #17986431 | C2 | semidirect |
| 6. Q32×D71 | C2 | semidirect |
| 7. #17986415 | C2 | semidirect |
| 8. C2×Q32×C71 | C2 | semidirect |
| 82. C71 | #3417 | semidirect |
| 89. C2×Q32 | D71 | semidirect |