Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
442 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 87 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×C42×D71 | C2 | semidirect |
| 3. C2×#14556055 | C2 | semidirect |
| 4. #17985962 | C2 | semidirect |
| 5. #17985760 | C2 | semidirect |
| 6. #17985759 | C2 | semidirect |
| 7. C2×#104×C71 | C2 | semidirect |
| 12. #14556104 | C4 | semidirect |
| 13. #14556099 | C4 | semidirect |
| 42. C4⋊Dic71 | C2×C4 | semidirect |
| 50. C4×Dic71 | D4 | semidirect |
| 55. C2×Q8×C71 | C2×C4 | semidirect |
| 57. C2×D4×C71 | C2×C4 | semidirect |
| 65. C42×C71 | D4 | semidirect |
| 113. C2×D71 | #104 | semidirect |
| 130. C71 | #1896 | semidirect |
| 134. C2×#104 | D71 | semidirect |
| 162. C2×Q8 | C4×D71 | semidirect |
| 165. C2×D4 | C4×D71 | semidirect |
| 195. C42 | C22⋊D71 | semidirect |