Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
400 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986556 | C2 | semidirect |
| 3. #17986354 | C2 | semidirect |
| 4. #17986350 | C2 | semidirect |
| 5. #17986346 | C2 | semidirect |
| 6. #17985996 | C2 | semidirect |
| 7. C2×C4×C8×C71 | C2 | semidirect |
| 79. C71 | #3131 | semidirect |
| 86. C2×C4×C8 | D71 | semidirect |