Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of Dic78 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×D156 |
| unambiguous semidirect product | C4⋊(C3×D39) |
| Fitting | C32×C4×C13 ⋊ C2 |
| Hall | C32×C13 ⋊ D4 |
| Sylow | C13 ⋊ C3×D12 |
| Sylow | C32 ⋊ D52 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
243 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10597596, C3×#10597597, C3×#10597601, … |
| maximal normal subgroup of | C3×#10597596, C3×#10597597, C3×#10597601, … |
| maximal quotient of | C3×#10597658, C3×D312, C3×Dic156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 151);