Finite Group DatabasebetaFinite Group Databasebeta| order | 33891 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×C11×C79⋊C13 |
| unambiguous semidirect product | (C3×C79)⋊(C11×C13) |
| unambiguous semidirect product | (C3×C11×C79)⋊C13 |
| Fitting, socle, Hall | C3×C11×C79 ⋊ C13 |
| derived, Sylow | C79 ⋊ C3×C11×C13 |
| Hall | C11×C79 ⋊ C3×C13 |
| Hall | C3×C79 ⋊ C11×C13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3×C11 | C79⋊C13 |
| commutator, cosocle, hypocenter | C79 | C3×C11×C13 |
| Frattini | C1 | G |
| Fitting, socle | C3×C11×C79 | C13 |
| LCS | G ▷ C79 | |
| UCS | C1 ◁ C3×C11 | |
16 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2607 |
627 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33891, 2);