Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₁₀

Direct product G=N×Q with N=C₂² and Q=C₂×C₁₀

		d	ρ	Label	ID
C₂³×C₁₀		80		C2^3xC10	80,52

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₁₀) = D₄×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:(C2xC10)	80,46

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₁₀) = C₅×C₄○D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₂²	40	2	C2^2.(C2xC10)	80,48
C₂².₂(C₂×C₁₀) = C₅×C₂²⋊C₄	central extension (φ=1)	40		C2^2.2(C2xC10)	80,21
C₂².₃(C₂×C₁₀) = C₅×C₄⋊C₄	central extension (φ=1)	80		C2^2.3(C2xC10)	80,22
C₂².₄(C₂×C₁₀) = Q₈×C₁₀	central extension (φ=1)	80		C2^2.4(C2xC10)	80,47

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C10