Finite Group DatabasebetaFinite Group Databasebeta| order | 792 |
| isoclinism | isoclinic class of Dic66 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×#63159 |
| Fitting | C22×C32×C11 ⋊ C2 |
| Hall | C32×C11 ⋊ D4 |
| Sylow | C11 ⋊ C3×#67 |
| Sylow | C32 ⋊ C22⋊D11 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 132 |
207 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10587241, C3×#10587244, C3×D11×#67, … |
| maximal normal subgroup of | C3×#10587241, C3×#10587244, C3×D11×#67, … |
| maximal quotient of | C3×#10587201, C3×#10587203, C3×#10587204, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(792, 94);