Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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×#14523976 | C2 | semidirect |
| 5. #16863164 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. #343×C67 | C2 | semidirect |
| 95. C67 | #2078 | semidirect |
| 101. #343 | D67 | semidirect |