Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D3×C13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C8 · Schur multiplier (H2) = C1 |
| direct product | C3⋊C8×C13⋊C3 |
| unambiguous semidirect product | C3⋊(C8×C13⋊C3) |
| unambiguous semidirect product | (C13×C3⋊C8)⋊C3 |
| derived | C3×C13 ⋊ C3×C8 |
| Hall | C3×C13⋊C3 ⋊ C8 |
| Sylow | C13 ⋊ C3×C3⋊C8 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C4 | D3×C13⋊C3 |
| commutator, hypocenter | C3×C13 | C3×C8 |
| Fitting, cosocle | C3×C4×C13 | C2×C3 |
| socle | C2×C3×C13 | C3×C4 |
| prime radical | C2×C3×C13⋊C3 | C4 |
| LCS | G ▷ C3×C13 | |
| UCS | C1 ◁ C4 | |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | C3⋊C8×D13⋊C3, #10597591⋊C3, #10597592⋊C3, … |
| maximal normal subgroup of | C3⋊C8×D13⋊C3, #10597591⋊C3, #10597592⋊C3, … |
| maximal quotient of | C13⋊C3×C3⋊C16, C2×C3⋊C8×C13⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 46);