Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #16863354 | C2 | semidirect |
| 5. #16863157 | C2 | semidirect |
| 6. #16863150 | C2 | semidirect |
| 7. C2×#108×C67 | C2 | semidirect |
| 13. #14523968 | C4 | semidirect |
| 14. #14523968 | C4 | semidirect |
| 15. #14523965 | C4 | semidirect |
| 16. #14523965 | C4 | semidirect |
| 106. C67 | #1929 | semidirect |
| 107. C2×#108 | D67 | semidirect |