Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×Q16×D71 | C2 | semidirect |
| 2. #17986656 | C2 | semidirect |
| 3. #17986382 | C2 | semidirect |
| 4. #17986240 | C2 | semidirect |
| 5. #17986232 | C2 | semidirect |
| 6. #17986219 | C2 | semidirect |
| 7. #17986161 | C2 | semidirect |
| 8. #17986136 | C2 | semidirect |
| 9. Q16×Dic71 | C2 | semidirect |
| 10. C8×C22⋊D71 | C2 | semidirect |
| 11. C2×#135×C71 | C2 | semidirect |
| 74. Q16×C71 | D4 | semidirect |
| 120. C2×D71 | #135 | semidirect |
| 137. C71 | #3285 | semidirect |
| 138. C2×#135 | D71 | semidirect |
| 195. Q16 | C22⋊D71 | semidirect |