Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
232 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 232 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 |
|---|---|---|
| 1. #16863436 | C2 | semidirect |
| 5. #16863354 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. #343×C67 | C2 | semidirect |
| 18. #14523959 | C4 | semidirect |
| 101. C67 | #1931 | semidirect |
| 107. #343 | D67 | semidirect |