Finite Group Databasebeta

C2×C42×C1597 #62906171

order51104
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22×C4

Aliases

abelianC2×C42×C1597
multiplicative(ℤ/95835)ˣ, (ℤ/102224)ˣ, (ℤ/127780)ˣ, (ℤ/191670)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

51104 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(51104, 21);