C₂×C₄₃×C₅⋊D₅ #16864346

order	4300
isoclinism	isoclinic class of C₅⋊D₅
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄₃ · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	C₂×C₄₃×C₅⋊D₅
unambiguous semidirect product	(C₂×C₅)⋊(D₅×C₄₃)

	subgroup	G/H
center, hypercenter	C₂×C₄₃	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂²×C₄₃
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₄₃	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂×C₄₃

80 conjugacy classes of subgroups.

μ_t(G) = 2150

1204 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4300, 33);