C₃×D₇×D₂₂₁ #32915576

order	18564
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₂₂₁

	subgroup	G/H
center, hypercenter	C₃	D₇×D₂₂₁
commutator, cosocle, hypocenter	C₇×C₁₃×C₁₇	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₇	C₂²
LCS	G ▷ C₇×C₁₃×C₁₇
UCS	C₁ ◁ C₃

80 conjugacy classes of subgroups.

μ_t(G) = 4641

1680 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18564, 171);