C₂×C₄₁×H(3,𝔽₄) #19107306

order	5248
nilpotency class	2
isoclinism	isoclinic class of #560
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄₁ · Schur multiplier (H₂) = C₂⁶×C₄²

Aliases

	subgroup	G/H
center, socle	C₂³×C₄₁	C₂⁴
commutator, Frattini, cosocle	C₂²	C₂⁵×C₄₁
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄₁ ◁ G

1408 conjugacy classes of subgroups.

1558 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5248, 2258);