Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #17985760 | C2 | semidirect |
| 5. #17985758 | C2 | semidirect |
| 6. #17985755 | C2 | semidirect |
| 7. H(3,ℤ/4)×C71 | C2 | semidirect |
| 14. #14556085 | C4 | semidirect |
| 16. C42×D71 | C4 | semidirect |
| 103. C71 | #1827 | semidirect |
| 110. H(3,ℤ/4) | D71 | semidirect |