Finite Group DatabasebetaFinite Group Databasebeta| order | 33142 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C227 · Schur multiplier (H2) = C1 |
| direct product | D73×C227 |
| unambiguous semidirect product | C73⋊(C2×C227) |
| Fitting, socle, Hall | C73×C227 ⋊ C2 |
| derived, Sylow | C73 ⋊ C2×C227 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C227 | D73 |
| commutator, cosocle, hypocenter | C73 | C2×C227 |
| Frattini | C1 | G |
| Fitting, socle | C73×C227 | C2 |
| LCS | G ▷ C73 | |
| UCS | C1 ◁ C227 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16571 |
8626 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33142, 1);