Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×#14523967 | C2 | semidirect |
| 5. #16863159 | C2 | semidirect |
| 6. #16863158 | C2 | semidirect |
| 7. C2×#103×C67 | C2 | semidirect |
| 14. #14524019 | C4 | semidirect |
| 132. C67 | #1894 | semidirect |
| 136. C2×#103 | D67 | semidirect |