Finite Group Databasebeta

C2×C5×C7×C19×C37 #59524715

order49210
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49210
abelianC2×C5×C7×C19×C37
multiplicative(ℤ/49211)ˣ, (ℤ/98422)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49210 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49211
outer automorphism group ofC49211

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49210, 1);