Finite Group Databasebeta

C4×C5×C7×C317 #56005138

order44380
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44380
abelianC4×C5×C7×C317
multiplicative(ℤ/44381)ˣ, (ℤ/88762)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44380 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44381
outer automorphism group ofC44381

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44380, 1);