C₅×C₁₇×D₁₃⋊C₉ #34091034

order	19890
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₉×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₇×D₁₃⋊C₉
unambiguous semidirect product	D₁₃⋊(C₅×C₉×C₁₇)
unambiguous semidirect product	(C₁₃⋊C₉)⋊(C₂×C₅×C₁₇)
unambiguous semidirect product	(C₅×D₁₃)⋊(C₉×C₁₇)
unambiguous semidirect product	(C₁₇×D₁₃)⋊(C₅×C₉)
unambiguous semidirect product	(C₅×C₁₇×D₁₃)⋊C₉

48 conjugacy classes of subgroups.

μ_t(G) = 9945

2040 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 19);