Finite Group Databasebeta

C52×C7×C241 #53728271

order42175
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C5

Aliases

abelianC52×C7×C241

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42175 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42175, 3);