Finite Group Databasebeta

C2×C5×C53×C83 #54881002

order43990
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43990
abelianC2×C5×C53×C83
multiplicative(ℤ/43991)ˣ, (ℤ/87982)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43990 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43991
outer automorphism group ofC43991

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43990, 1);