Finite Group DatabasebetaFinite Group Databasebeta| order | 1452 |
| isoclinism | isoclinic class of D3×C11⋊D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2×C11 |
| direct product | D3×C11⋊D11 |
| unambiguous semidirect product | (D3×C11)⋊D11 |
| Fitting, socle, derived, Hall | C3×C112 ⋊ C22 |
| Sylow | C112 ⋊ C2×D3 |
| Sylow | C3 ⋊ C2×C11⋊D11 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C112 | C22 |
| LCS | G ▷ C3×C112 | |
| UCS | C1 | |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 363 |
186 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1452, 29);