Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
252 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 252 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. #17985731 | C2 | semidirect |
| 5. Q8⋊(C71⋊C8) | C2 | semidirect |
| 6. #17985729 | C2 | semidirect |
| 7. Q8⋊C8×C71 | C2 | semidirect |
| 59. Q8×C71 | M16 | semidirect |
| 79. Dic142 | M16 | semidirect |
| 105. C71 | #1491 | semidirect |
| 112. Q8⋊C8 | D71 | semidirect |
| 167. Q8 | #11765848 | semidirect |