Finite Group Databasebeta

C2×C3×C11×C761 #60678659

order50226
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50226
abelianC2×C3×C11×C761
multiplicative(ℤ/50227)ˣ, (ℤ/100454)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50226 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50227
outer automorphism group ofC50227

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50226, 1);