Finite Group Databasebeta

C4×C19×C577 #54879277

order43852
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43852
abelianC4×C19×C577
multiplicative(ℤ/43853)ˣ, (ℤ/87706)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43852 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43853
outer automorphism group ofC43853

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43852, 1);