D₁₃×C₂₉×AGL(1,𝔽₇) #44539843

order	31668
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₁₃×C₂₉×AGL(1,𝔽₇)
unambiguous semidirect product	D₇⋊(C₃×D₁₃×C₂₉)
unambiguous semidirect product	(ΓL(1,𝔽₈)×D₁₃)⋊(C₂×C₂₉)
unambiguous semidirect product	(C₁₃×AGL(1,𝔽₇))⋊(C₂×C₂₉)
unambiguous semidirect product	(ΓL(1,𝔽₈)⋊D₁₃)⋊(C₂×C₂₉)

	subgroup	G/H
center, hypercenter	C₂₉	D₁₃×AGL(1,𝔽₇)
commutator, cosocle, hypocenter	C₇×C₁₃	C₂²×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₃×C₂₉	C₂²×C₃
LCS	G ▷ C₇×C₁₃
UCS	C₁ ◁ C₂₉

80 conjugacy classes of subgroups.

μ_t(G) = 2639

1624 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31668, 138);