C₁₉×C₁₇⋊AGL(1,𝔽₁₁) #48001058

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

Aliases

direct product	C₁₉×C₁₇⋊AGL(1,𝔽₁₁)
unambiguous semidirect product	C₁₇⋊(C₁₉×AGL(1,𝔽₁₁))
unambiguous semidirect product	(C₁₁⋊C₅)⋊(C₁₉×D₁₇)
unambiguous semidirect product	D₁₈₇⋊(C₅×C₁₉)
unambiguous semidirect product	(C₁₉×D₁₈₇)⋊C₅

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

32 conjugacy classes of subgroups.

μ_t(G) = 3553

1273 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 23);