Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
120 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 43 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. #16863796 | C2 | semidirect |
| 3. #16863220 | C2 | semidirect |
| 4. #16863216 | C2 | semidirect |
| 7. #365×C67 | C2 | semidirect |
| 60. C67 | #2231 | semidirect |
| 64. #365 | D67 | semidirect |