Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
362 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. C2×#14556060 | C2 | semidirect |
| 5. #17985897 | C2 | semidirect |
| 6. #17985762 | C2 | semidirect |
| 7. #336×C71 | C2 | semidirect |
| 19. #14556050 | C4 | semidirect |
| 41. C4⋊Dic71 | C2×C4 | semidirect |
| 53. C2×C8×C71 | C2×C4 | semidirect |
| 88. D284 | C4⋊C4 | semidirect |
| 124. C71 | #1864 | semidirect |
| 131. #336 | D71 | semidirect |
| 169. C2×C8 | C4×D71 | semidirect |