Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C9 · Schur multiplier (H2) = C23×C3 |
| direct product | C2×C3×C9×#67 |
| Fitting | C23×C32×C9 ⋊ C2 |
| Sylow | C32×C9 ⋊ C2×D4 |
780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 216 |
486 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3×#88668, C2×C9×#611⋊C3, C2×C9×#3811 |
| maximal normal subgroup of | C2×C3×#88668, C2×C9×#3811 |
| maximal quotient of | C2×C9×#611⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 2590);