Finite Group Databasebeta

C3×C4×C23×C181 #60676885

order49956
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49956
abelianC3×C4×C23×C181
multiplicative(ℤ/49957)ˣ, (ℤ/99914)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49956 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49957
outer automorphism group ofC49957

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49956, 1);