Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C8 · Schur multiplier (H2) = C3 |
| direct product | C3×#1055⋊C3 |
| unambiguous semidirect product | #1055⋊C32 |
| unambiguous semidirect product | (C3×#1055)⋊C3 |
| derived, Sylow | C13 ⋊ C32×C8 |
| Hall | C3×C13⋊C3 ⋊ C8 |
| Hall | #1055 ⋊ C32 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#6092⋊C3, C3⋊(#6092⋊C3), D3×#1055⋊C3, … |
| maximal normal subgroup of | C3×#6092⋊C3, C3⋊(#6092⋊C3), D3×#1055⋊C3, … |
| maximal quotient of | C3×#6090⋊C3, C2×C3×#1055⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 45);