Finite Group Databasebeta

C4×C12049 #58385089

order48196
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC48196
abelianC4×C12049
multiplicative(ℤ/48197)ˣ, (ℤ/96394)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

48196 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC48197
outer automorphism group ofC48197

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(48196, 2);