Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
444 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. C22×#11765852 | C2 | semidirect |
| 2. C2×#14556104 | C2 | semidirect |
| 4. C2×#14556050 | C2 | semidirect |
| 5. C2×(C2×D71)⋊C8 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 7. C2×#103×C71 | C2 | semidirect |
| 51. C2×C71⋊C8 | D4 | semidirect |
| 53. C4⋊Dic71 | D4 | semidirect |
| 62. C2×Q8×C71 | D4 | semidirect |
| 85. C22×D71 | SD16 | semidirect |
| 158. C71 | #2000 | semidirect |
| 162. C2×#103 | D71 | semidirect |
| 194. C2×Q8 | D284 | semidirect |