Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556175 | C2 | semidirect |
| 2. C2×#14556161 | C2 | semidirect |
| 3. C2×#14556148 | C2 | semidirect |
| 4. #17986580 | C2 | semidirect |
| 5. #17986162 | C2 | semidirect |
| 6. #17986156 | C2 | semidirect |
| 7. #17986145 | C2 | semidirect |
| 8. #17986139 | C2 | semidirect |
| 9. C2×#14556051 | C2 | semidirect |
| 10. #17985967 | C2 | semidirect |
| 11. #417×C71 | C2 | semidirect |
| 58. C2×Dic142 | D4 | semidirect |
| 87. #41×C71 | D4 | semidirect |
| 170. C71 | #3013 | semidirect |
| 179. #417 | D71 | semidirect |
| 224. #41 | D284 | semidirect |