C₂×D₄×D₈×C₄₁ #23837240

order	10496
nilpotency class	3
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄₁ · Schur multiplier (H₂) = C₂¹⁰

Aliases

C₂×D₄×D₈×C₄₁

	subgroup	G/H
center, socle	C₂³×C₄₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₁ ◁ C₂×C₄×D₄×C₄₁ ◁ G

3710 conjugacy classes of subgroups.

2870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10496, 54027);