Finite Group Databasebeta

C22×C3×C25×C137 #52629431

order41100
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C25×C137
multiplicative(ℤ/61653)ˣ, (ℤ/82204)ˣ, (ℤ/123306)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41100, 9);