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×D132 |
| unambiguous semidirect product | C4⋊(C3×D33) |
| Fitting | C32×C4×C11 ⋊ C2 |
| Hall | C32×C11 ⋊ D4 |
| Sylow | C11 ⋊ C3×D12 |
| Sylow | C32 ⋊ D44 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 264 |
207 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10587142, C3×#10587143, C3×#10587147, … |
| maximal normal subgroup of | C3×#10587142, C3×#10587143, C3×#10587147, … |
| maximal quotient of | C3×#10587195, C3×D264, C3×Dic132, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(792, 92);