C₅×C₁₉×D₁₀₅ #34093108

order	19950
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×D₁₀₅
unambiguous semidirect product	C₃⋊(C₅×C₁₉×D₃₅)
unambiguous semidirect product	C₅⋊(C₅×C₁₉×D₂₁)
unambiguous semidirect product	C₇⋊(C₅×C₁₉×D₁₅)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₀₅
commutator, cosocle, hypocenter	C₃×C₅×C₇	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₇×C₁₉	C₂
LCS	G ▷ C₃×C₅×C₇
UCS	C₁ ◁ C₅×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 3990

5130 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 147);