Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of C3⋊D3×#261 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C3⋊D3×#261 |
| unambiguous semidirect product | (C3×#261)⋊D3 |
| Fitting, socle, derived, Hall | C32×C13 ⋊ C2×C4 |
| Sylow | C13 ⋊ C4×C3⋊D3 |
| Sylow | C32 ⋊ C2×#261 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C32×C13 | C2×C4 |
| prime radical | C3⋊D3×D13 | C2 |
| cosocle | C32×D13 | C22 |
| LCS | G ▷ C32×C13 | |
| UCS | C1 | |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 117 |
42 conjugacy classes — view the full character table.
| maximal subgroup of | #157×#261, D32×#261, C2×C3⋊D3×#261, … |
| maximal normal subgroup of | #157×#261, D32×#261, C2×C3⋊D3×#261, … |
| maximal quotient of | C3⋊Dic3×#261, (C2×#261)⋊(C3⋊D3), #14273002, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 179);