Finite Group DatabasebetaFinite Group Databasebeta| order | 19734 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C1 |
| direct product | C13⋊C3×D253 |
| unambiguous semidirect product | C11⋊(C13⋊C3×D23) |
| unambiguous semidirect product | C23⋊(D11×C13⋊C3) |
| unambiguous semidirect product | (C13×D253)⋊C3 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C11×C13×C23 | C2×C3 |
| LCS | G ▷ C11×C13×C23 | |
| UCS | C1 | |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3289 |
896 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19734, 31);