C₃×C₁₉×C₂²⋊(C₃₁⋊C₃) #35234544

order	21204
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×C₁₉×C₂²⋊(C₃₁⋊C₃)
unambiguous semidirect product	(C₂²×C₃)⋊(C₁₉×C₃₁⋊C₃)
unambiguous semidirect product	(C₃×C₃₁)⋊(A₄×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	C₂²⋊(C₃₁⋊C₃)
commutator, cosocle, hypocenter	C₂²×C₃₁	C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₁₉×C₃₁	C₃
LCS	G ▷ C₂²×C₃₁
UCS	C₁ ◁ C₃×C₁₉

56 conjugacy classes of subgroups.

μ_t(G) = 7068

2508 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21204, 241);