Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×C4×D13⋊C3 |
| unambiguous semidirect product | (C4×D13)⋊C32 |
| unambiguous semidirect product | (C3×C4×D13)⋊C3 |
| Fitting | C3×C4×C13 ⋊ C2×C3 |
| derived, Sylow | C13 ⋊ C2×C32×C4 |
| Hall | C3×C13⋊C3 ⋊ C2×C4 |
| Hall | C4×D13 ⋊ C32 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | C3⋊C8×D13⋊C3, #10597592⋊C3, C3×C8×D13⋊C3, … |
| maximal normal subgroup of | C3⋊C8×D13⋊C3, #10597592⋊C3, C3×C8×D13⋊C3, … |
| maximal quotient of | C3×C8×D13⋊C3, C3×#6094⋊C3, C3×C4×Dic13⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 83);