C₃×C₄₁×C₂²⋊(C₁₃⋊C₃) #34063000

order	19188
automorphism	?
homology	Abelianization (H₁) = C₃²×C₄₁ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×C₄₁×C₂²⋊(C₁₃⋊C₃)
unambiguous semidirect product	(C₂²×C₃)⋊(C₁₃⋊C₃×C₄₁)
unambiguous semidirect product	(C₃×C₁₃)⋊(A₄×C₄₁)
unambiguous semidirect product	(C₂²×C₃×C₄₁)⋊(C₁₃⋊C₃)
unambiguous semidirect product	(C₃×C₁₃×C₄₁)⋊A₄

	subgroup	G/H
center, hypercenter	C₃×C₄₁	C₂²⋊(C₁₃⋊C₃)
commutator, cosocle, hypocenter	C₂²×C₁₃	C₃²×C₄₁
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₁₃×C₄₁	C₃
LCS	G ▷ C₂²×C₁₃
UCS	C₁ ◁ C₃×C₄₁

56 conjugacy classes of subgroups.

μ_t(G) = 6396

2460 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19188, 152);