Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
114 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 31 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. #17985756 | C2 | semidirect |
| 3. #349×C71 | C2 | semidirect |
| 4. C2×D568 | C4 | semidirect |
| 7. #14556060 | C4 | semidirect |
| 53. C71 | #1339 | semidirect |
| 55. #349 | D71 | semidirect |