Finite Group DatabasebetaFinite Group Databasebeta| order | 42176 |
| nilpotency class | 1 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C22×C4 |
| abelian | C2×C4×C8×C659 |
| multiplicative | (ℤ/79095)ˣ, (ℤ/84368)ˣ, (ℤ/105460)ˣ, (ℤ/158190)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
42176 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(42176, 83);