C₂×C₅×C₄₁×D₄₃ #47976706

order	35260
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅×C₄₁×D₄₃
unambiguous semidirect product	C₄₃⋊(C₂²×C₅×C₄₁)
unambiguous semidirect product	(C₂×C₄₃)⋊(C₂×C₅×C₄₁)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₄₁	D₄₃
commutator, cosocle, hypocenter	C₄₃	C₂²×C₅×C₄₁
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₄₁×C₄₃	C₂
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₂×C₅×C₄₁

40 conjugacy classes of subgroups.

μ_t(G) = 17630

9430 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35260, 40);