Finite Group Databasebeta

C4×C9×C1123 #52598815

order40428
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40428
abelianC4×C9×C1123
multiplicative(ℤ/40429)ˣ, (ℤ/80858)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40428 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40429
outer automorphism group ofC40429

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40428, 1);