Finite Group Databasebeta

C3×C4×C5×C701 #53727233

order42060
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42060
abelianC3×C4×C5×C701
multiplicative(ℤ/42061)ˣ, (ℤ/84122)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

42060 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42061
outer automorphism group ofC42061

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42060, 1);