C₇×C₁₉×C₂²⋊(C₁₃⋊C₃) #35209173

order	20748
automorphism	?
homology	Abelianization (H₁) = C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₇×C₁₉×C₂²⋊(C₁₃⋊C₃)
unambiguous semidirect product	C₂²⋊(C₇×C₁₉×C₁₃⋊C₃)
unambiguous semidirect product	C₁₃⋊(C₇×A₄×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₉	C₂²⋊(C₁₃⋊C₃)
commutator, cosocle, hypocenter	C₂²×C₁₃	C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₇×C₁₃×C₁₉	C₃
LCS	G ▷ C₂²×C₁₃
UCS	C₁ ◁ C₇×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 6916

2660 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20748, 401);