C₂×C₃×C₁₉×C₁₀₃⋊C₃ #47976384

order	35226
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₂×C₃×C₁₉×C₁₀₃⋊C₃
unambiguous semidirect product	(C₂×C₁₀₃)⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₂×C₃×C₁₀₃)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉	C₁₀₃⋊C₃
commutator, cosocle, hypocenter	C₁₀₃	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₀₃	C₃
LCS	G ▷ C₁₀₃
UCS	C₁ ◁ C₂×C₃×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 11742

4218 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35226, 70);