Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C11 · Schur multiplier (H2) = C1 |
| Fitting | C3×C11×C169 ⋊ C2×C3 |
| derived | C3×C169 ⋊ C2×C3×C11 |
| Hall | C3×C11×C169⋊C3 ⋊ C2 |
| Hall | C11×C169 ⋊ C3×D3 |
| Hall | C3×C169⋊C3 ⋊ C2×C11 |
| Sylow | C169 ⋊ C3×D3×C11 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C11 | C3⋊(D169⋊C3) |
| commutator, cosocle, hypocenter | C3×C169 | C2×C3×C11 |
| Frattini | C13 | C11×C3⋊(D13⋊C3) |
| Fitting | C3×C11×C169 | C2×C3 |
| socle | C3×C11×C13 | D13⋊C3 |
| LCS | G ▷ C3×C169 | |
| UCS | C1 ◁ C11 | |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5577 |
1023 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 17);