C₇⋊C₉×D₁₁⋊C₂₅ #46831391

order	34650
automorphism	?
homology	Abelianization (H₁) = C₂×C₉×C₂₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇⋊C₉×D₁₁⋊C₂₅
unambiguous semidirect product	D₁₁⋊(C₂₅×C₇⋊C₉)
unambiguous semidirect product	(C₁₁⋊C₂₅)⋊(C₂×C₇⋊C₉)
unambiguous semidirect product	(D₁₁×C₇⋊C₉)⋊C₂₅
unambiguous semidirect product	(C₇×D₁₁⋊C₂₅)⋊C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃×C₅	ΓL(1,𝔽₈)×AGL(1,𝔽₁₁)
commutator, hypocenter	C₇×C₁₁	C₂×C₉×C₂₅
Fitting, socle, cosocle	C₃×C₅×C₇×C₁₁	C₂×C₃×C₅
prime radical	C₃×C₅×C₇×D₁₁	C₃×C₅
LCS	G ▷ C₇×C₁₁
UCS	C₁ ◁ C₃×C₅

72 conjugacy classes of subgroups.

μ_t(G) = 17325

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34650, 34);