D₃×C₁₇²×C₁₉ #45681985

order	32946
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇²×C₁₉ · Schur multiplier (H₂) = C₁₇

Aliases

direct product	D₃×C₁₇²×C₁₉
unambiguous semidirect product	C₃⋊(C₂×C₁₇²×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₇²×C₁₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₁₇²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₇²×C₁₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₁₇²×C₁₉

160 conjugacy classes of subgroups.

μ_t(G) = 16473

16473 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32946, 35);