C₁₃×C₂₃×D₅₇ #46801766

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

Aliases

direct product	C₁₃×C₂₃×D₅₇
unambiguous semidirect product	C₃⋊(C₁₃×C₂₃×D₁₉)
unambiguous semidirect product	C₁₉⋊(D₃×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₃×C₂₃	D₅₇
commutator, cosocle, hypocenter	C₃×C₁₉	C₂×C₁₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₁₉×C₂₃	C₂
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₁₃×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 17043

8970 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34086, 15);