Q₃₂×C₃₇₃ #26045666

order	11936
nilpotency class	4
isoclinism	isoclinic class of D₁₆
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃₇₃ · Schur multiplier (H₂) = C₁

Aliases

Q₃₂×C₃₇₃

	subgroup	G/H
center, socle, prime radical	C₂×C₃₇₃	D₈
commutator, Frattini, cosocle	C₈	C₂²×C₃₇₃
LCS	G ▷ C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₃₇₃ ◁ C₄×C₃₇₃ ◁ C₈×C₃₇₃ ◁ G

24 conjugacy classes of subgroups.

4103 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11936, 20);