Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| isoclinism | isoclinic class of #3788 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C32 |
| direct product | C32×#3792 |
| Sylow | C34 ⋊ M16 |
436 conjugacy classes of subgroups.
| transitive degree | μt(G) = 72 |
162 conjugacy classes — view the full character table.
| maximal subgroup of | #72220216, C3×#11724350 |
| maximal normal subgroup of | #72220216, C3×#11724350 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 3299);