Finite Group DatabasebetaFinite Group Databasebeta| order | 2028 |
| isoclinism | isoclinic class of C3⋊#261 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×C3⋊#261 |
| unambiguous semidirect product | C3⋊(C13×#261) |
| Fitting, socle, Hall | C3×C132 ⋊ C4 |
| derived | C3×C13 ⋊ C4×C13 |
| Sylow | C132 ⋊ Dic3 |
| Sylow | C3 ⋊ C13×#261 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C13 | C3⋊#261 |
| commutator, hypocenter | C3×C13 | C4×C13 |
| Frattini | C1 | G |
| Fitting, socle | C3×C132 | C4 |
| prime radical | C3×C13×D13 | C2 |
| cosocle | C3×D13 | C2×C13 |
| LCS | G ▷ C3×C13 | |
| UCS | C1 ◁ C13 | |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
195 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2028, 69);