Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
184 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 184 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×Dic536 | C2 | semidirect |
| 2. C2×#14523988 | C2 | semidirect |
| 4. #16863780 | C2 | semidirect |
| 5. C4×C16×C67 | C2 | semidirect |
| 51. C67 | #2249 | semidirect |
| 56. C4×C16 | D67 | semidirect |