C₁₇×C₃₁×C₁₉⋊C₃ #44473440

order	30039
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₇×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₃₁×C₁₉⋊C₃
unambiguous semidirect product	C₁₉⋊(C₃×C₁₇×C₃₁)
unambiguous semidirect product	(C₁₇×C₁₉)⋊(C₃×C₃₁)

	subgroup	G/H
center, hypercenter	C₁₇×C₃₁	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₃×C₁₇×C₃₁
Frattini	C₁	G
Fitting, socle	C₁₇×C₁₉×C₃₁	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₁₇×C₃₁

16 conjugacy classes of subgroups.

μ_t(G) = 10013

4743 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30039, 3);