C₂×C₃₁×#3444 #21519427

order	7936
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁶×C₃₁ · Schur multiplier (H₂) = C₂¹³

Aliases

	subgroup	G/H
center	C₂×C₄²×C₃₁	C₂³
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃₁
socle	C₂³×C₃₁	C₂⁵
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄²×C₃₁ ◁ G

8518 conjugacy classes of subgroups.

3472 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7936, 55656);