C₄₁×#33594 #23809795

order	10496
nilpotency class	4
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄₁ · Schur multiplier (H₂) = C₂⁵

Aliases

	subgroup	G/H
center	C₄×C₄₁	#459
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₄₁
socle	C₂×C₄₁	C₂×#459
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄×C₄₁ ◁ C₂²×C₄×C₄₁ ◁ C₂×C₄×C₈×C₄₁ ◁ G

696 conjugacy classes of subgroups.

1886 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10496, 26582);