Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C33 |
| direct product | C2×#10619985 |
| Sylow | C32×C9 ⋊ C2×Q8 |
950 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1296 |
330 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 2669);