Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
290 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 95 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×#14556060 | C2 | semidirect |
| 5. C4×C4⋊Dic71 | C2 | semidirect |
| 6. #17985762 | C2 | semidirect |
| 7. #336×C71 | C2 | semidirect |
| 17. #14556050 | C4 | semidirect |
| 119. C71 | #1926 | semidirect |
| 126. #336 | D71 | semidirect |