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×#14556151 | C2 | semidirect |
| 2. C2×Q16×D71 | C2 | semidirect |
| 3. #17986661 | C2 | semidirect |
| 4. #17986383 | C2 | semidirect |
| 5. #17986241 | C2 | semidirect |
| 6. #17986236 | C2 | semidirect |
| 7. #17986221 | C2 | semidirect |
| 8. #17986164 | C2 | semidirect |
| 9. #17986139 | C2 | semidirect |
| 10. C8×D284 | C2 | semidirect |
| 11. C4×Q16×C71 | C2 | semidirect |
| 73. Q16×C71 | D4 | semidirect |
| 120. C2×D71 | #135 | semidirect |
| 137. C71 | #3285 | semidirect |
| 147. C4×Q16 | D71 | semidirect |
| 195. Q16 | D284 | semidirect |