Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
144 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 47 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. C2×#14556071 | C2 | semidirect |
| 2. #17986416 | C2 | semidirect |
| 4. #17985828 | C2 | semidirect |
| 5. #17985815 | C2 | semidirect |
| 6. #17985811 | C2 | semidirect |
| 7. #473×C71 | C2 | semidirect |
| 72. C71 | #2223 | semidirect |
| 75. #473 | D71 | semidirect |