C₁₃×C₁₉×D₇₁ #47975109

order	35074
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₉×D₇₁
unambiguous semidirect product	C₇₁⋊(C₂×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	D₇₁
commutator, cosocle, hypocenter	C₇₁	C₂×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₉×C₇₁	C₂
LCS	G ▷ C₇₁
UCS	C₁ ◁ C₁₃×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 17537

9139 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35074, 2);