C₁₉×C₂₃×C₅⋊D₅ #36345804

order	21850
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₂₃ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₁₉×C₂₃×C₅⋊D₅
unambiguous semidirect product	C₅⋊(D₅×C₁₉×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₃	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₁₉×C₂₃
Frattini	C₁	G
Fitting, socle	C₅²×C₁₉×C₂₃	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₁₉×C₂₃

64 conjugacy classes of subgroups.

μ_t(G) = 10925

6118 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21850, 17);