C₇×C₁₉×AGL(1,𝔽₁₁) #28410703

order	14630
isoclinism	isoclinic class of AGL(1,𝔽₁₁)
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×AGL(1,𝔽₁₁)
unambiguous semidirect product	D₁₁⋊(C₅×C₇×C₁₉)
unambiguous semidirect product	(C₁₁⋊C₅)⋊(C₂×C₇×C₁₉)
unambiguous semidirect product	(C₇×D₁₁)⋊(C₅×C₁₉)
unambiguous semidirect product	(C₁₉×D₁₁)⋊(C₅×C₇)
unambiguous semidirect product	(C₇×C₁₉×D₁₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₇×C₁₉	AGL(1,𝔽₁₁)
commutator, cosocle, hypocenter	C₁₁	C₂×C₅×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₁×C₁₉	C₂×C₅
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 1463

1463 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14630, 19);