Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. C4×C4⋊Dic71 | C2 | semidirect |
| 4. #17985760 | C2 | semidirect |
| 5. #423×C71 | C2 | semidirect |
| 7. C4×Dic142 | C4 | semidirect |
| 8. C4×Dic142 | C4 | semidirect |
| 9. C4×D284 | C4 | semidirect |
| 10. C4×D284 | C4 | semidirect |
| 81. D284 | C4⋊C4 | semidirect |
| 87. Dic142 | C4⋊C4 | semidirect |
| 100. C4×C71 | #104 | semidirect |
| 116. C71 | #1806 | semidirect |
| 118. #423 | D71 | semidirect |
| 220. C4 | #14556054 | semidirect |