Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 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×#14523968 | C2 | semidirect |
| 4. #16863302 | C2 | semidirect |
| 6. #16863159 | C2 | semidirect |
| 7. C2×C4⋊C8×C67 | C2 | semidirect |
| 72. C2×C4×C67 | SD16 | semidirect |
| 130. C67 | #2055 | semidirect |
| 132. C2×C4⋊C8 | D67 | semidirect |
| 219. C2×C4 | #11761617 | semidirect |