Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
340 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 3. #17985732 | C2 | semidirect |
| 4. #380×C71 | C2 | semidirect |
| 5. C22×D284 | C4 | semidirect |
| 10. #14556102 | C4 | semidirect |
| 12. C2×C4⋊Dic71 | C4 | semidirect |
| 15. C22⋊(C71⋊C8) | C22 | semidirect |
| 19. #95×C71 | C22 | semidirect |
| 110. C71 | #1519 | semidirect |
| 113. #380 | D71 | semidirect |
| 129. #95 | C2×D71 | semidirect |