Finite Group Databasebeta

C22×C5×C7×C313 #54879004

order43820
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C5×C7×C313
multiplicative(ℤ/65733)ˣ, (ℤ/87644)ˣ, (ℤ/131466)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43820, 9);