Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=C₂³

Direct product G=N×Q with N=C₂×F₅ and Q=C₂³

		d	ρ	Label	ID
C₂⁴×F₅		80		C2^4xF5	320,1638

Semidirect products G=N:Q with N=C₂×F₅ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊C₂³ = C₂²×C₂²⋊F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5):C2^3	320,1607

Non-split extensions G=N.Q with N=C₂×F₅ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).₁C₂³ = C₂²×C₄⋊F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5).1C2^3	320,1591
(C₂×F₅).₂C₂³ = C₂×D₁₀.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5).2C2^3	320,1592
(C₂×F₅).₃C₂³ = C₂×D₄×F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	40		(C2xF5).3C2^3	320,1595
(C₂×F₅).₄C₂³ = D₁₀.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	40	8+	(C2xF5).4C2^3	320,1596
(C₂×F₅).₅C₂³ = C₂×Q₈×F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5).5C2^3	320,1599
(C₂×F₅).₆C₂³ = D₅.2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	80	8-	(C2xF5).6C2^3	320,1600
(C₂×F₅).₇C₂³ = C₄○D₄×F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	40	8	(C2xF5).7C2^3	320,1603
(C₂×F₅).₈C₂³ = D₅.2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₂×F₅	40	8	(C2xF5).8C2^3	320,1604
(C₂×F₅).₉C₂³ = C₂²×C₄×F₅	φ: trivial image	80		(C2xF5).9C2^3	320,1590

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