Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
256 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 2. C2×#14523954 | C2 | semidirect |
| 3. #16863135 | C2 | semidirect |
| 4. #432×C67 | C2 | semidirect |
| 81. C67 | #1530 | semidirect |
| 83. #432 | D67 | semidirect |