Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₁₀

Direct product G=N×Q with N=C₂×D₄ and Q=C₁₀

		d	ρ	Label	ID
D₄×C₂×C₁₀		80		D4xC2xC10	160,229

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₁₀ = C₅×C₂²≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	40		(C2xD4):1C10	160,181
(C₂×D₄)⋊₂C₁₀ = C₅×C₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):2C10	160,182
(C₂×D₄)⋊₃C₁₀ = C₅×C₄⋊₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):3C10	160,188
(C₂×D₄)⋊₄C₁₀ = C₁₀×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):4C10	160,193
(C₂×D₄)⋊₅C₁₀ = C₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	40	4	(C2xD4):5C10	160,197
(C₂×D₄)⋊₆C₁₀ = C₅×2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	40	4	(C2xD4):6C10	160,232
(C₂×D₄)⋊₇C₁₀ = C₁₀×C₄○D₄	φ: trivial image	80		(C2xD4):7C10	160,231

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₁₀ = C₅×C₂³⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	40	4	(C2xD4).1C10	160,49
(C₂×D₄).₂C₁₀ = C₅×C₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	40	4	(C2xD4).2C10	160,50
(C₂×D₄).₃C₁₀ = C₅×D₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4).3C10	160,52
(C₂×D₄).₄C₁₀ = C₅×C₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4).4C10	160,184
(C₂×D₄).₅C₁₀ = C₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4).5C10	160,185
(C₂×D₄).₆C₁₀ = C₁₀×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4).6C10	160,194
(C₂×D₄).₇C₁₀ = D₄×C₂₀	φ: trivial image	80		(C2xD4).7C10	160,179

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