Finite Group DatabasebetaFinite Group Databasebeta| order | 1968 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C41 · Schur multiplier (H2) = C23 |
| direct product | C2×C4×D3×C41 |
| Fitting | C2×C3×C4×C41 ⋊ C2 |
| derived, Sylow | C3 ⋊ C22×C4×C41 |
| Hall | C3×C41 ⋊ C22×C4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 984 |
984 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×C8×C41 |
| maximal normal subgroup of | C2×D3×C8×C41 |
| maximal quotient of | C2×D3×C8×C41 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1968, 162);