Finite Group DatabasebetaFinite Group Databasebeta| order | 65274 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C23 · Schur multiplier (H2) = C1 |
| direct product | D11×C23×C43⋊C3 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C23 | D11×C43⋊C3 |
| commutator, cosocle, hypocenter | C11×C43 | C2×C3×C23 |
| Frattini | C1 | G |
| Fitting, socle | C11×C23×C43 | C2×C3 |
| LCS | G ▷ C11×C43 | |
| UCS | C1 ◁ C23 | |
32 conjugacy classes of subgroups.
2737 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(65274, 30);