Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| isoclinism | isoclinic class of #204 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C33 · Schur multiplier (H2) = C33 |
| direct product | C33×#204 |
| Fitting | C34×C8 ⋊ C2 |
| Sylow | C34 ⋊ SD16 |
872 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
405 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 2819);