Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
186 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 12. #14523976 | C4 | semidirect |
| 13. #14523976 | C4 | semidirect |
| 14. #14523974 | C4 | semidirect |
| 15. #14523974 | C4 | semidirect |
| 89. C67 | #1922 | semidirect |