Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D3×AGL(1,𝔽13) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| Fitting, socle, derived | C3×C13 ⋊ C2×C3×C4 |
| Hall | C3×C13⋊C3 ⋊ C2×C4 |
| Sylow | C13 ⋊ C3×C4×D3 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C3×C13 | C2×C3×C4 |
| prime radical | D3×D13⋊C3 | C2 |
| cosocle | C3×D13 | C22×C3 |
| LCS | G ▷ C3×C13 | |
| UCS | C1 | |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 39 |
39 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 167);