Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #17986052 | C2 | semidirect |
| 3. #17985726 | C2 | semidirect |
| 4. #431×C71 | C2 | semidirect |
| 15. C4×C71⋊C8 | C22 | semidirect |
| 17. C4⋊C8×C71 | C22 | semidirect |
| 23. C2×D284 | C8 | semidirect |
| 88. C71 | #1478 | semidirect |
| 91. #431 | D71 | semidirect |
| 103. C4⋊C8 | C2×D71 | semidirect |