Finite Group DatabasebetaFinite Group Databasebeta| order | 2016 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7×C8 · Schur multiplier (H2) = C4 |
| direct product | C3×C7×C8×Dic3 |
| derived | C3 ⋊ C3×C4×C7×C8 |
| Hall | C32×C7 ⋊ C4×C8 |
| Sylow | C32 ⋊ C4×C7×C8 |
198 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 132 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1008 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C7×C8×C9×Dic3, C3×C4×D3×C7×C8 |
| maximal normal subgroup of | C7×C8×C9×Dic3, C3×C4×D3×C7×C8 |
| maximal quotient of | C7×C8×C9×Dic3 |
Past the SmallGroups library coverage — no SmallGroups id.