Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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×#14556160 | C2 | semidirect |
| 2. #17986661 | C2 | semidirect |
| 3. #17986383 | C2 | semidirect |
| 4. #17986246 | C2 | semidirect |
| 5. #17986221 | C2 | semidirect |
| 6. #17986156 | C2 | semidirect |
| 7. #17986147 | C2 | semidirect |
| 8. #17986078 | C2 | semidirect |
| 9. C4×Q16×C71 | C2 | semidirect |
| 64. Q16×C71 | D4 | semidirect |
| 118. C71 | #3277 | semidirect |
| 126. C4×Q16 | D71 | semidirect |
| 170. Q16 | D284 | semidirect |