C₁₃×D₂₃×C₁₉⋊C₃ #46801772

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

Aliases

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

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

32 conjugacy classes of subgroups.

μ_t(G) = 5681

1521 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34086, 21);