Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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. #16863449 | C2 | semidirect |
| 3. #16863123 | C2 | semidirect |
| 4. C2×C4⋊C8×C67 | C2 | semidirect |
| 85. C67 | #1480 | semidirect |
| 88. C2×C4⋊C8 | D67 | semidirect |