Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
266 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 81 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. #17985729 | C2 | semidirect |
| 4. #17985726 | C2 | semidirect |
| 5. #423×C71 | C2 | semidirect |
| 70. D284 | M16 | semidirect |
| 76. Dic142 | M16 | semidirect |
| 103. C71 | #1489 | semidirect |
| 105. #423 | D71 | semidirect |