Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D3×C13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C4×D3×C13⋊C3 |
| unambiguous semidirect product | (C4×D3×C13)⋊C3 |
| Fitting | C3×C4×C13 ⋊ C2×C3 |
| derived | C3×C13 ⋊ C2×C3×C4 |
| Hall | C3×C13⋊C3 ⋊ C2×C4 |
| Sylow | C13 ⋊ C3×C4×D3 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4 | D3×C13⋊C3 |
| commutator, hypocenter | C3×C13 | C2×C3×C4 |
| Frattini | C2 | C2×D3×C13⋊C3 |
| Fitting | C3×C4×C13 | C2×C3 |
| socle, cosocle | C2×C3×C13 | C22×C3 |
| prime radical | C2×D3×C13⋊C3 | C2 |
| LCS | G ▷ C3×C13 | |
| UCS | C1 ◁ C4 | |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#1055⋊C3, #10597593⋊C3, D3×C8×C13⋊C3, … |
| maximal normal subgroup of | D3×#1055⋊C3, #10597593⋊C3, D3×C8×C13⋊C3, … |
| maximal quotient of | D3×C8×C13⋊C3, C13⋊C3×ΓL(1,𝔽25), C4×Dic3×C13⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 88);