Finite Group Databasebeta

C22×C3×C5×C691 #52636210

order41460
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C5×C691
multiplicative(ℤ/48377)ˣ, (ℤ/62193)ˣ, (ℤ/62199)ˣ, (ℤ/82924)ˣ, (ℤ/96754)ˣ, (ℤ/124386)ˣ, (ℤ/124398)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41460 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41460, 19);