C₃×C₁₇×C₁₉×D₁₇ #45681981

order	32946
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

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

	subgroup	G/H
center, hypercenter	C₃×C₁₇×C₁₉	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₃×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₇²×C₁₉	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₃×C₁₇×C₁₉

64 conjugacy classes of subgroups.

μ_t(G) = 1938

9690 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32946, 31);