C₂×C₅×C₁₉×D₃₁ #26044542

order	11780
isoclinism	isoclinic class of D₃₁
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₅×C₁₉×D₃₁

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₉	D₃₁
commutator, cosocle, hypocenter	C₃₁	C₂²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₃₁	C₂
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₂×C₅×C₁₉

40 conjugacy classes of subgroups.

3230 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11780, 36);