Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
144 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 3. #17985829 | C2 | semidirect |
| 4. #17985828 | C2 | semidirect |
| 5. #368×C71 | C2 | semidirect |
| 52. D71 | #368 | direct (N × H) |
| 54. C71 | C2×#368 | semidirect |
| 59. #368 | D71 | direct (N × H) |