Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
190 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16863423 | C2 | semidirect |
| 5. #16863166 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. H(3,ℤ/4)×C67 | C2 | semidirect |
| 90. C67 | #2080 | semidirect |
| 97. H(3,ℤ/4) | D67 | semidirect |