Finite Group Databasebeta

C2×C5×C7×C691 #58387353

order48370
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC48370
abelianC2×C5×C7×C691
multiplicative(ℤ/48371)ˣ, (ℤ/96742)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

48370 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC48371
outer automorphism group ofC48371

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(48370, 1);