C₂×C₁₃×C₃⋊D₃×C₄₁ #34063006

order	19188
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₄₁ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₁₃×C₃⋊D₃×C₄₁
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₁₃×C₄₁)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₄₁	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₁₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₁₃×C₄₁	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₁₃×C₄₁

120 conjugacy classes of subgroups.

μ_t(G) = 9594

6396 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19188, 158);