Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
228 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 65 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×#14523978 | C2 | semidirect |
| 2. #16863436 | C2 | semidirect |
| 3. #16863424 | C2 | semidirect |
| 7. #343×C67 | C2 | semidirect |
| 98. C67 | #2063 | semidirect |
| 105. #343 | D67 | semidirect |