C₃×D₇×D₂₀₉ #31798296

order	17556
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₂₀₉

	subgroup	G/H
center, hypercenter	C₃	D₇×D₂₀₉
commutator, cosocle, hypocenter	C₇×C₁₁×C₁₉	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₁×C₁₉	C₂²
LCS	G ▷ C₇×C₁₁×C₁₉
UCS	C₁ ◁ C₃

80 conjugacy classes of subgroups.

μ_t(G) = 4389

1590 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17556, 111);