Finite Group Databasebeta

C2×C37×C683 #61797502

order50542
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50542
abelianC2×C37×C683
multiplicative(ℤ/50543)ˣ, (ℤ/101086)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50542 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50543
outer automorphism group ofC50543

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50542, 4);