Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
402 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14556051 | C2 | semidirect |
| 4. #17985905 | C2 | semidirect |
| 5. #17985761 | C2 | semidirect |
| 6. #17985754 | C2 | semidirect |
| 11. C2×#11765853 | C4 | semidirect |
| 31. C2×Dic142 | C2×C4 | semidirect |
| 40. C2×C71⋊C8 | C2×C4 | semidirect |
| 83. C2×C4×C71 | SD16 | semidirect |
| 134. C71 | #1877 | semidirect |
| 227. C2×C4 | #11765853 | semidirect |