Finite Group Databasebeta

C2×C5×C5779 #65318734

order57790
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57790
abelianC2×C5×C5779
multiplicative(ℤ/57791)ˣ, (ℤ/115582)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57790 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57791
outer automorphism group ofC57791

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57790, 4);