C₃⋊D₃×C₁₉×C₁₁₃ #50311880

order	38646
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₁₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₁₉×C₁₁₃
unambiguous semidirect product	C₃⋊(D₃×C₁₉×C₁₁₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₁₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₉×C₁₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₁₁₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₉×C₁₁₃

48 conjugacy classes of subgroups.

μ_t(G) = 19323

12882 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38646, 33);