C₃×C₅×D₃×C₇×C₁₉ #26046232

order	11970
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×D₃×C₇×C₁₉
unambiguous semidirect product	C₃⋊(C₂×C₃×C₅×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₇×C₁₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₃×C₅×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₁₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₃×C₅×C₇×C₁₉

72 conjugacy classes of subgroups.

5985 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11970, 161);