Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
210 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 67 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. #17985746 | C2 | semidirect |
| 5. #17985745 | C2 | semidirect |
| 6. #17985744 | C2 | semidirect |
| 7. #332×C71 | C2 | semidirect |
| 89. C71 | #1561 | semidirect |
| 96. #332 | D71 | semidirect |