Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₁₈

Direct product G=N×Q with N=C₁₀ and Q=C₂×C₁₈

		d	ρ	Label	ID
C₂²×C₉₀		360		C2^2xC90	360,50

Semidirect products G=N:Q with N=C₁₀ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×C₁₈) = D₅×C₂×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180		C10:(C2xC18)	360,47

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂×C₁₈) = C₉×Dic₁₀	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	360	2	C10.1(C2xC18)	360,15
C₁₀.₂(C₂×C₁₈) = D₅×C₃₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180	2	C10.2(C2xC18)	360,16
C₁₀.₃(C₂×C₁₈) = C₉×D₂₀	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180	2	C10.3(C2xC18)	360,17
C₁₀.₄(C₂×C₁₈) = C₁₈×Dic₅	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	360		C10.4(C2xC18)	360,18
C₁₀.₅(C₂×C₁₈) = C₉×C₅⋊D₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180	2	C10.5(C2xC18)	360,19
C₁₀.₆(C₂×C₁₈) = D₄×C₄₅	central extension (φ=1)	180	2	C10.6(C2xC18)	360,31
C₁₀.₇(C₂×C₁₈) = Q₈×C₄₅	central extension (φ=1)	360	2	C10.7(C2xC18)	360,32

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