Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
244 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
| 4. #17985771 | C2 | semidirect |
| 5. #17985759 | C2 | semidirect |
| 6. #17985756 | C2 | semidirect |
| 42. C2×Q8×C71 | Q8 | semidirect |
| 44. C2×D4×C71 | Q8 | semidirect |
| 102. C71 | #2031 | semidirect |
| 130. C2×Q8 | Dic142 | semidirect |
| 132. C2×D4 | Dic142 | semidirect |