C₂×C₅²×C₇×C₁₉⋊C₃ #34093102

order	19950
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅²×C₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₂×C₅²×C₇×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃×C₅²×C₇)
unambiguous semidirect product	(C₂×C₅×C₁₉)⋊(C₃×C₅×C₇)

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

128 conjugacy classes of subgroups.

μ_t(G) = 6650

3150 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 141);