Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
368 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 87 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×#14523977 | C2 | semidirect |
| 3. C2×#14523964 | C2 | semidirect |
| 4. C2×(C2×D67)⋊C8 | C2 | semidirect |
| 5. #16863253 | C2 | semidirect |
| 6. #16863158 | C2 | semidirect |
| 7. C2×#102×C67 | C2 | semidirect |
| 58. C2×C8×C67 | D4 | semidirect |
| 144. C67 | #2033 | semidirect |
| 148. C2×#102 | D67 | semidirect |
| 196. C2×C8 | C22⋊D67 | semidirect |