Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16863700 | C2 | semidirect |
| 3. #16863693 | C2 | semidirect |
| 4. #16863436 | C2 | semidirect |
| 5. #16863420 | C2 | semidirect |
| 7. C2×#125×C67 | C2 | semidirect |
| 91. C67 | #3080 | semidirect |
| 92. C2×#125 | D67 | semidirect |