D₃×D₁₃×C₂₉⋊C₇ #44539795

order	31668
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×D₁₃×C₂₉⋊C₇
unambiguous semidirect product	(D₃×C₁₃)⋊(C₂×C₂₉⋊C₇)
unambiguous semidirect product	(C₃×D₁₃)⋊(C₂×C₂₉⋊C₇)
unambiguous semidirect product	D₃₉⋊(C₂×C₂₉⋊C₇)
unambiguous semidirect product	(D₃×D₁₃×C₂₉)⋊C₇

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₁₃×C₂₉	C₂²×C₇
LCS	G ▷ C₃×C₁₃×C₂₉
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 1131

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31668, 90);