D₃×C₁₃×C₁₇×D₁₁ #44415803

order	29172
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₁₃×C₁₇×D₁₁
unambiguous semidirect product	(D₃×C₁₁)⋊(C₂×C₁₃×C₁₇)
unambiguous semidirect product	(C₃×D₁₁)⋊(C₂×C₁₃×C₁₇)
unambiguous semidirect product	D₃₃⋊(C₂×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₇	D₃×D₁₁
commutator, cosocle, hypocenter	C₃×C₁₁	C₂²×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₁₇	C₂²
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₁₃×C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 7293

4641 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29172, 95);