Finite Group Databasebeta

C2×C5×C11×C13×C41 #67546486

order58630
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58630
abelianC2×C5×C11×C13×C41
multiplicative(ℤ/58631)ˣ, (ℤ/117262)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58630 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58631
outer automorphism group ofC58631

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58630, 1);