C₅×C₁₉×C₃⋊D₂₁ #26046222

order	11970
isoclinism	isoclinic class of C₃⋊D₂₁
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₅×C₁₉×C₃⋊D₂₁
unambiguous semidirect product	C₃⋊(C₅×C₁₉×D₂₁)
unambiguous semidirect product	C₇⋊(C₅×C₃⋊D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	C₃⋊D₂₁
commutator, cosocle, hypocenter	C₃²×C₇	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₁₉	C₂
LCS	G ▷ C₃²×C₇
UCS	C₁ ◁ C₅×C₁₉

96 conjugacy classes of subgroups.

3135 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11970, 151);