D₃×C₇×D₂₄₇ #35209145

order	20748
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₇×D₂₄₇
unambiguous semidirect product	(D₃×C₁₃)⋊(C₇×D₁₉)
unambiguous semidirect product	(D₃×C₁₉)⋊(C₇×D₁₃)

	subgroup	G/H
center, hypercenter	C₇	D₃×D₂₄₇
commutator, cosocle, hypocenter	C₃×C₁₃×C₁₉	C₂²×C₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₉	C₂²
LCS	G ▷ C₃×C₁₃×C₁₉
UCS	C₁ ◁ C₇

80 conjugacy classes of subgroups.

μ_t(G) = 5187

2625 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20748, 373);