C₃×C₁₁×C₁₉×D₁₇ #36319259

order	21318
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₁×C₁₉×D₁₇
unambiguous semidirect product	C₁₇⋊(C₂×C₃×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₁×C₁₉	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₃×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₃×C₁₁×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 10659

6270 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21318, 4);