C₂×SD₁₆×C₃₇₃ #26045686

order	11936
nilpotency class	3
isoclinism	isoclinic class of D₈
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃₇₃ · Schur multiplier (H₂) = C₂²

Aliases

C₂×SD₁₆×C₃₇₃

	subgroup	G/H
center, socle	C₂²×C₃₇₃	D₄
commutator, Frattini, cosocle	C₄	C₂³×C₃₇₃
prime radical	C₂×D₄×C₃₇₃	C₂
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇₃ ◁ C₂×C₄×C₃₇₃ ◁ G

68 conjugacy classes of subgroups.

5222 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11936, 40);