Finite Group Databasebeta

C2×C3×C7×C1531 #72129386

order64302
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC64302
abelianC2×C3×C7×C1531
multiplicative(ℤ/64303)ˣ, (ℤ/128606)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

64302 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC64303
outer automorphism group ofC64303

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64302, 1);