Finite Group Databasebeta

C4×C12289 #59524349

order49156
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49156
abelianC4×C12289
multiplicative(ℤ/49157)ˣ, (ℤ/98314)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49156 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49157
outer automorphism group ofC49157

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49156, 2);