Finite Group Databasebeta

C2×C3×C23×C349 #58384641

order48162
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC48162
abelianC2×C3×C23×C349
multiplicative(ℤ/48163)ˣ, (ℤ/96326)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

48162 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC48163
outer automorphism group ofC48163

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(48162, 1);