C₃×C₁₉×ΓL(1,𝔽₈)×D₁₁ #39911873

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

Aliases

direct product	C₃×C₁₉×ΓL(1,𝔽₈)×D₁₁
unambiguous semidirect product	C₁₁⋊(C₂×C₃×C₁₉×ΓL(1,𝔽₈))
unambiguous semidirect product	(C₇×D₁₁)⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₃×C₇×D₁₁)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	ΓL(1,𝔽₈)×D₁₁
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

1995 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26334, 100);