Finite Group DatabasebetaFinite Group Databasebeta| order | 4056 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C3×D13×#261 |
| Fitting, socle, Hall | C3×C132 ⋊ C2×C4 |
| derived, Sylow | C132 ⋊ C2×C3×C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3 | D13×#261 |
| commutator, hypocenter | C132 | C2×C3×C4 |
| Frattini | C1 | G |
| Fitting, socle | C3×C132 | C2×C4 |
| prime radical | C3×D132 | C2 |
| cosocle | C13×D13 | C22×C3 |
| LCS | G ▷ C132 | |
| UCS | C1 ◁ C3 | |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#2612, D3×D13×#261, #261×C3⋊#261, … |
| maximal normal subgroup of | C3×#2612, D3×D13×#261, #261×C3⋊#261, … |
Past the SmallGroups library coverage — no SmallGroups id.