C₁₉×C₇⋊AGL(1,𝔽₁₁) #28410707

order	14630
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×C₇⋊AGL(1,𝔽₁₁)
unambiguous semidirect product	C₇⋊(C₁₉×AGL(1,𝔽₁₁))
unambiguous semidirect product	(C₁₁⋊C₅)⋊(D₇×C₁₉)
unambiguous semidirect product	D₇₇⋊(C₅×C₁₉)
unambiguous semidirect product	(C₁₉×D₇₇)⋊C₅

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

32 conjugacy classes of subgroups.

μ_t(G) = 1463

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14630, 23);