Finite Group DatabasebetaFinite Group Databasebeta| order | 1224 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C17 · Schur multiplier (H2) = C2 |
| direct product | C3×C4×D3×C17 |
| Fitting | C32×C4×C17 ⋊ C2 |
| derived | C3 ⋊ C2×C3×C4×C17 |
| Hall | C32×C17 ⋊ C2×C4 |
| Sylow | C32 ⋊ C2×C4×C17 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 408 |
612 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1224, 97);