Finite Group Databasebeta

C2×C3×C53×C127 #52597997

order40386
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40386
abelianC2×C3×C53×C127
multiplicative(ℤ/40387)ˣ, (ℤ/80774)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40386 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40387
outer automorphism group ofC40387

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40386, 1);