Finite Group Databasebeta

C3×C4×C4129 #60650329

order49548
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49548
abelianC3×C4×C4129
multiplicative(ℤ/49549)ˣ, (ℤ/99098)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49548 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49549
outer automorphism group ofC49549

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49548, 1);