Finite Group Databasebeta

C2×C53×C571 #68739864

order60526
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC60526
abelianC2×C53×C571
multiplicative(ℤ/60527)ˣ, (ℤ/121054)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

60526 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC60527
outer automorphism group ofC60527

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(60526, 4);