Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
326 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 326 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. C2×#14556054 | C2 | semidirect |
| 3. #17985998 | C2 | semidirect |
| 4. C2×#14556044 | C2 | semidirect |
| 5. #17985900 | C2 | semidirect |
| 6. #17985758 | C2 | semidirect |
| 7. #428×C71 | C2 | semidirect |
| 56. M16×C71 | D4 | semidirect |
| 131. C71 | #2037 | semidirect |
| 133. #428 | D71 | semidirect |
| 181. M16 | D284 | semidirect |