C₁₇×C₁₉×AGL(1,𝔽₁₁) #48001056

order	35530
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₁₉×AGL(1,𝔽₁₁)
unambiguous semidirect product	D₁₁⋊(C₅×C₁₇×C₁₉)
unambiguous semidirect product	(C₁₁⋊C₅)⋊(C₂×C₁₇×C₁₉)
unambiguous semidirect product	(C₁₇×D₁₁)⋊(C₅×C₁₉)
unambiguous semidirect product	(C₁₉×D₁₁)⋊(C₅×C₁₇)
unambiguous semidirect product	(C₁₇×C₁₉×D₁₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₁₇×C₁₉	AGL(1,𝔽₁₁)
commutator, cosocle, hypocenter	C₁₁	C₂×C₅×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₁×C₁₇×C₁₉	C₂×C₅
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₁₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 3553

3553 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 21);