C₃×C₁₉×C₁₁⋊AGL(1,𝔽₇) #39911864

order	26334
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₉×C₁₁⋊AGL(1,𝔽₇)
unambiguous semidirect product	C₁₁⋊(C₃×C₁₉×AGL(1,𝔽₇))
unambiguous semidirect product	ΓL(1,𝔽₈)⋊(C₃×C₁₉×D₁₁)
unambiguous semidirect product	D₇₇⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₃×D₇₇)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	C₁₁⋊AGL(1,𝔽₇)
commutator, cosocle, hypocenter	C₇×C₁₁	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₁×C₁₉	C₂×C₃
LCS	G ▷ C₇×C₁₁
UCS	C₁ ◁ C₃×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 4389

1824 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26334, 91);