Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| isoclinism | isoclinic class of SU(3,𝔽2) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C3×#88592 |
| Sylow | C3×H(3,𝔽3) ⋊ C4⋊C4 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 216 |
96 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 1994);