Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
150 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 53 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. #17985824 | C2 | semidirect |
| 3. #17985799 | C2 | semidirect |
| 4. C22⋊(C71⋊C16) | C2 | semidirect |
| 5. C2×#107×C71 | C2 | semidirect |
| 60. C71 | #2232 | semidirect |
| 62. C2×#107 | D71 | semidirect |