D₃×C₇×C₁₇×D₁₃ #32915586

order	18564
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₇×C₁₇×D₁₃
unambiguous semidirect product	(D₃×C₁₃)⋊(C₂×C₇×C₁₇)
unambiguous semidirect product	(C₃×D₁₃)⋊(C₂×C₇×C₁₇)
unambiguous semidirect product	D₃₉⋊(C₂×C₇×C₁₇)

	subgroup	G/H
center, hypercenter	C₇×C₁₇	D₃×D₁₃
commutator, cosocle, hypocenter	C₃×C₁₃	C₂²×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₁₇	C₂²
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₇×C₁₇

80 conjugacy classes of subgroups.

μ_t(G) = 4641

2856 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18564, 181);