D₃×C₁₃×D₁₃₃ #35209157

order	20748
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₁₃×D₁₃₃
unambiguous semidirect product	(D₃×C₇)⋊(C₁₃×D₁₉)
unambiguous semidirect product	(D₃×C₁₉)⋊(C₁₃×D₇)

	subgroup	G/H
center, hypercenter	C₁₃	D₃×D₁₃₃
commutator, cosocle, hypocenter	C₃×C₇×C₁₉	C₂²×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂²
LCS	G ▷ C₃×C₇×C₁₉
UCS	C₁ ◁ C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 5187

2652 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20748, 385);