C₃₁×AGL(1,𝔽₃₂) #72223847

order	30752
automorphism	?
homology	Abelianization (H₁) = C₃₁² · Schur multiplier (H₂) = C₃₁

Aliases

Borel	B(2,𝔽₃₂)
direct product	C₃₁×AGL(1,𝔽₃₂)

Fitting, socle	C₂⁵×C₃₁ ⋊ C₃₁
derived, Sylow	C₂⁵ ⋊ C₃₁²

	subgroup	G/H
center, hypercenter	C₃₁	AGL(1,𝔽₃₂)
commutator, cosocle, hypocenter	C₂⁵	C₃₁²
Frattini	C₁	G
Fitting, socle	C₂⁵×C₃₁	C₃₁
LCS	G ▷ C₂⁵
UCS	C₁ ◁ C₃₁

92 conjugacy classes of subgroups.

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

Past the SmallGroups library coverage — no SmallGroups id.