Finite Group Databasebeta

C2×C3×C8291 #60653137

order49746
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49746
abelianC2×C3×C8291
multiplicative(ℤ/49747)ˣ, (ℤ/99494)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49746 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49747
outer automorphism group ofC49747

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49746, 4);