Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #17986009 | C2 | semidirect |
| 5. #17985904 | C2 | semidirect |
| 6. #17985760 | C2 | semidirect |
| 7. #343×C71 | C2 | semidirect |
| 11. #14556161 | C4 | semidirect |
| 37. C2×Dic142 | C2×C4 | semidirect |
| 61. M16×C71 | C2×C4 | semidirect |
| 125. C71 | #1882 | semidirect |
| 131. #343 | D71 | semidirect |
| 177. M16 | C4×D71 | semidirect |