Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
402 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 91 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×#14523965 | C2 | semidirect |
| 3. C2×#14523965 | C2 | semidirect |
| 4. #16863294 | C2 | semidirect |
| 5. #336×C67 | C2 | semidirect |
| 35. C4⋊Dic67 | D4 | semidirect |
| 104. C67 | #2041 | semidirect |
| 109. #336 | D67 | semidirect |