C₃₁×#62743 #21519502

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

Aliases

	subgroup	G/H
center	C₂×C₄×C₃₁	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃₁
socle	C₂²×C₃₁	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₃₁ ◁ G

6634 conjugacy classes of subgroups.

2356 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7936, 55731);