Finite Group Databasebeta

C2×C5×C11×C569 #70996138

order62590
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC62590
abelianC2×C5×C11×C569
multiplicative(ℤ/62591)ˣ, (ℤ/125182)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

62590 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC62591
outer automorphism group ofC62591

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(62590, 1);