Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
412 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 105 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. C22×#11761612 | C2 | semidirect |
| 3. C2×#14523963 | C2 | semidirect |
| 4. #16863158 | C2 | semidirect |
| 5. #380×C67 | C2 | semidirect |
| 12. #14524017 | C4 | semidirect |
| 31. C2×C67⋊C8 | D4 | semidirect |
| 105. C67 | #1895 | semidirect |
| 109. #380 | D67 | semidirect |