Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
228 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14556064 | C2 | semidirect |
| 2. #17986042 | C2 | semidirect |
| 6. #17985767 | C2 | semidirect |
| 7. #424×C71 | C2 | semidirect |
| 98. C71 | #2063 | semidirect |
| 101. #424 | D71 | semidirect |