Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
300 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 89 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×#14523969 | C2 | semidirect |
| 3. #16863364 | C2 | semidirect |
| 4. C2×C8×Dic67 | C2 | semidirect |
| 5. C2×#108×C67 | C2 | semidirect |
| 9. C2×Dic268 | C4 | semidirect |
| 10. C2×#11761617 | C4 | semidirect |
| 11. C2×D536 | C4 | semidirect |
| 86. C67 | #1974 | semidirect |
| 88. C2×#108 | D67 | semidirect |