Finite Group Databasebeta

C22×C5×C37×C61 #56059873

order45140
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C5×C37×C61
multiplicative(ℤ/67713)ˣ, (ℤ/90284)ˣ, (ℤ/135426)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

45140 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45140, 13);