C₂×C₁₃×C₂₃×C₁₉⋊C₃ #46801753

order	34086
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₃×C₂₃×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃×C₁₃×C₂₃)
unambiguous semidirect product	(C₂×C₁₉×C₂₃)⋊(C₃×C₁₃)

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

32 conjugacy classes of subgroups.

μ_t(G) = 11362

5382 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34086, 2);