Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#14556176 | C2 | semidirect |
| 2. C2×#14556148 | C2 | semidirect |
| 3. #17986577 | C2 | semidirect |
| 4. #17986160 | C2 | semidirect |
| 5. #17986153 | C2 | semidirect |
| 6. #17986143 | C2 | semidirect |
| 7. #17986136 | C2 | semidirect |
| 8. #17986001 | C2 | semidirect |
| 9. C2×#14556052 | C2 | semidirect |
| 10. #17985967 | C2 | semidirect |
| 11. C2×#137×C71 | C2 | semidirect |
| 52. #11765865 | D4 | semidirect |
| 86. C2×Q8×C71 | D4 | semidirect |
| 170. C71 | #3013 | semidirect |
| 172. C2×#137 | D71 | semidirect |
| 233. C2×Q8 | C22⋊D71 | semidirect |