Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
402 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#14556052 | C2 | semidirect |
| 5. #17985761 | C2 | semidirect |
| 6. #17985754 | C2 | semidirect |
| 7. #391×C71 | C2 | semidirect |
| 12. C2×#11765852 | C4 | semidirect |
| 43. C2×C71⋊C8 | C2×C4 | semidirect |
| 52. C2×Q8×C71 | C2×C4 | semidirect |
| 85. C2×C4×C71 | SD16 | semidirect |
| 134. C71 | #1877 | semidirect |
| 139. #391 | D71 | semidirect |
| 166. C2×Q8 | C4×D71 | semidirect |
| 227. C2×C4 | #11765852 | semidirect |