Finite Group Databasebeta

C3×C4×C5×C821 #59526702

order49260
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49260
abelianC3×C4×C5×C821
multiplicative(ℤ/49261)ˣ, (ℤ/98522)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49260 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49261
outer automorphism group ofC49261

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49260, 1);