Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14556148 | C2 | semidirect |
| 2. #17986549 | C2 | semidirect |
| 3. #17986381 | C2 | semidirect |
| 4. #17986378 | C2 | semidirect |
| 5. #17986375 | C2 | semidirect |
| 6. #17986373 | C2 | semidirect |
| 7. #17986371 | C2 | semidirect |
| 8. C2×C4×C71⋊C8 | C2 | semidirect |
| 9. #532×C71 | C2 | semidirect |
| 42. C2×C71⋊C8 | D4 | semidirect |
| 93. C4×C71 | #135 | semidirect |
| 102. C71 | #3147 | semidirect |
| 105. #532 | D71 | semidirect |
| 196. C4 | #14556148 | semidirect |