Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
216 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 216 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 |
|---|---|---|
| 2. C4×#11765849 | C2 | semidirect |
| 3. #17985740 | C2 | semidirect |
| 4. #17985738 | C2 | semidirect |
| 5. #432×C71 | C2 | semidirect |
| 91. C71 | #1529 | semidirect |
| 93. #432 | D71 | semidirect |