Finite Group Databasebeta

C23×C5171 #52633888

order41368
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C23

Aliases

abelianC23×C5171
multiplicative(ℤ/82744)ˣ, (ℤ/124116)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41368 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41368, 5);