Finite Group Databasebeta

C4×C13729 #64108935

order54916
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC54916
abelianC4×C13729
multiplicative(ℤ/54917)ˣ, (ℤ/109834)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

54916 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC54917
outer automorphism group ofC54917

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(54916, 2);