Finite Group Databasebeta

C2×C3×C5×C2141 #71045756

order64230
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC64230
abelianC2×C3×C5×C2141
multiplicative(ℤ/64231)ˣ, (ℤ/128462)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

64230 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC64231
outer automorphism group ofC64231

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64230, 1);