C₁₉×C₁₃⋊C₃×D₂₃ #46801773

order	34086
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×C₁₃⋊C₃×D₂₃
unambiguous semidirect product	C₂₃⋊(C₂×C₁₉×C₁₃⋊C₃)
unambiguous semidirect product	(C₁₃×D₂₃)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	C₁₃⋊C₃×D₂₃
commutator, cosocle, hypocenter	C₁₃×C₂₃	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₉×C₂₃	C₂×C₃
LCS	G ▷ C₁₃×C₂₃
UCS	C₁ ◁ C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 5681

1729 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34086, 22);