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×#14556059 | C2 | semidirect |
| 5. #17985761 | C2 | semidirect |
| 6. #17985754 | C2 | semidirect |
| 7. #389×C71 | C2 | semidirect |
| 18. #14556048 | C4 | semidirect |
| 40. C2×C71⋊C8 | C2×C4 | semidirect |
| 53. C4⋊C4×C71 | C2×C4 | semidirect |
| 88. D284 | C4⋊C4 | semidirect |
| 124. C71 | #1864 | semidirect |
| 129. #389 | D71 | semidirect |
| 176. C4⋊C4 | C4×D71 | semidirect |