Finite Group Databasebeta

C22×C32×C17×C79 #58386609

order48348
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C3

Aliases

abelianC22×C32×C17×C79
multiplicative(ℤ/56413)ˣ, (ℤ/72531)ˣ, (ℤ/112826)ˣ, (ℤ/145062)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

48348 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(48348, 61);