Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
290 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 67 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×#14556055 | C2 | semidirect |
| 3. C2×#14556054 | C2 | semidirect |
| 4. #17985998 | C2 | semidirect |
| 5. #17985864 | C2 | semidirect |
| 6. #17985767 | C2 | semidirect |
| 7. #417×C71 | C2 | semidirect |
| 47. C4×Dic71 | D4 | semidirect |
| 128. C71 | #2040 | semidirect |
| 133. #417 | D71 | semidirect |