Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| isoclinism | isoclinic class of #6249 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C16 · Schur multiplier (H2) = C1 |
| direct product | C3×#88586 |
| derived | H(3,𝔽3) ⋊ C3×C16 |
| Sylow | C3×H(3,𝔽3) ⋊ C16 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
78 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 1936);