Finite Group Databasebeta

C4×C9×C1117 #52594810

order40212
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40212
abelianC4×C9×C1117
multiplicative(ℤ/40213)ˣ, (ℤ/80426)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40212 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40213
outer automorphism group ofC40213

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40212, 1);