C₁₇×C₁₃⋊C₃×C₄₇ #44528305

order	31161
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₇×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₁₃⋊C₃×C₄₇
unambiguous semidirect product	C₁₃⋊(C₃×C₁₇×C₄₇)
unambiguous semidirect product	(C₁₃×C₁₇)⋊(C₃×C₄₇)
unambiguous semidirect product	(C₁₃×C₄₇)⋊(C₃×C₁₇)
unambiguous semidirect product	(C₁₃×C₁₇×C₄₇)⋊C₃

	subgroup	G/H
center, hypercenter	C₁₇×C₄₇	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃×C₁₇×C₄₇
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₇×C₄₇	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₁₇×C₄₇

16 conjugacy classes of subgroups.

μ_t(G) = 10387

5593 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31161, 2);