Finite Group Databasebeta

C2×C41×C691 #64184105

order56662
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC56662
abelianC2×C41×C691
multiplicative(ℤ/56663)ˣ, (ℤ/113326)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

56662 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC56663
outer automorphism group ofC56663

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(56662, 4);