C₁₃×C₁₉×D₆₉ #46801765

order	34086
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₉×D₆₉
unambiguous semidirect product	C₃⋊(C₁₃×C₁₉×D₂₃)
unambiguous semidirect product	C₂₃⋊(D₃×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	D₆₉
commutator, cosocle, hypocenter	C₃×C₂₃	C₂×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₁₉×C₂₃	C₂
LCS	G ▷ C₃×C₂₃
UCS	C₁ ◁ C₁₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17043

8892 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34086, 14);