Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D3×C13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C22×D3×C13⋊C3 |
| unambiguous semidirect product | C3⋊(C23×C13⋊C3) |
| unambiguous semidirect product | (C2×C3)⋊(C22×C13⋊C3) |
| Fitting, socle | C22×C3×C13 ⋊ C2×C3 |
| derived | C3×C13 ⋊ C23×C3 |
| Hall | C3×C13⋊C3 ⋊ C23 |
| Sylow | C13 ⋊ C22×C3×D3 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | D3×C13⋊C3 |
| commutator, cosocle, hypocenter | C3×C13 | C23×C3 |
| Frattini | C1 | G |
| Fitting, socle | C22×C3×C13 | C2×C3 |
| LCS | G ▷ C3×C13 | |
| UCS | C1 ◁ C22 | |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
84 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 195);