C₄₃×#10016 #24930033

order	11008
nilpotency class	3
isoclinism	isoclinic class of #10012
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄₃ · Schur multiplier (H₂) = C₂³

Aliases

	subgroup	G/H
center	C₂×C₄×C₄₃	#127
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₄₃
socle	C₂²×C₄₃	#392
prime radical	C₂²×D₄×C₄₃	D₄
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₄₃ ◁ C₂×C₄²×C₄₃ ◁ G

560 conjugacy classes of subgroups.

1720 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 3004);