Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
164 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×#14556071 | C2 | semidirect |
| 2. C22×C71⋊C16 | C2 | semidirect |
| 4. #17985826 | C2 | semidirect |
| 5. #17985803 | C2 | semidirect |
| 6. #17985799 | C2 | semidirect |
| 7. #467×C71 | C2 | semidirect |
| 28. C71⋊C16 | D4 | semidirect |
| 59. C22×C71 | SD32 | semidirect |
| 76. C71 | #2217 | semidirect |
| 79. #467 | D71 | semidirect |
| 138. C22 | #14556071 | semidirect |