Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556147 | C2 | semidirect |
| 2. #17986653 | C2 | semidirect |
| 3. #17986379 | C2 | semidirect |
| 4. #17986241 | C2 | semidirect |
| 5. #17986204 | C2 | semidirect |
| 6. #17986162 | C2 | semidirect |
| 7. C8×D284 | C2 | semidirect |
| 8. C4×D8×C71 | C2 | semidirect |
| 49. D8×C71 | D4 | semidirect |
| 85. C4×C71 | #135 | semidirect |
| 96. C71 | #3283 | semidirect |
| 103. C4×D8 | D71 | semidirect |
| 137. D8 | D284 | semidirect |
| 183. C4 | #14556147 | semidirect |