Extensions 1→N→G→Q→1 with N=C₄xF₅ and Q=C₂²

Direct product G=NxQ with N=C₄xF₅ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₄xF₅		80		C2^2xC4xF5	320,1590

Semidirect products G=N:Q with N=C₄xF₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xF₅):₁C₂² = (C₂xD₄):₆F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8-	(C4xF5):1C2^2	320,1107
(C₄xF₅):₂C₂² = (C₂xQ₈):₆F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8+	(C4xF5):2C2^2	320,1122
(C₄xF₅):₃C₂² = D₄:F₅:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8	(C4xF5):3C2^2	320,1133
(C₄xF₅):₄C₂² = D₁₀.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	40	8+	(C4xF5):4C2^2	320,1596
(C₄xF₅):₅C₂² = C₂xD₄:F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5):5C2^2	320,1106
(C₄xF₅):₆C₂² = C₂xQ₈:₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5):6C2^2	320,1121
(C₄xF₅):₇C₂² = D₅:C₄wrC₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	40	8	(C4xF5):7C2^2	320,1130
(C₄xF₅):₈C₂² = C₂xD₄xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	40		(C4xF5):8C2^2	320,1595
(C₄xF₅):₉C₂² = C₂xD₁₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5):9C2^2	320,1592

Non-split extensions G=N.Q with N=C₄xF₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xF₅).₁C₂² = D₄₀:C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	40	8+	(C4xF5).1C2^2	320,1069
(C₄xF₅).₂C₂² = D₈:F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8-	(C4xF5).2C2^2	320,1071
(C₄xF₅).₃C₂² = SD₁₆:F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	40	8	(C4xF5).3C2^2	320,1073
(C₄xF₅).₄C₂² = SD₁₆:₂F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8	(C4xF5).4C2^2	320,1075
(C₄xF₅).₅C₂² = Dic₂₀:C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8-	(C4xF5).5C2^2	320,1077
(C₄xF₅).₆C₂² = Q₁₆:F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8+	(C4xF5).6C2^2	320,1079
(C₄xF₅).₇C₂² = D₅.2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	80	8-	(C4xF5).7C2^2	320,1600
(C₄xF₅).₈C₂² = D₅.2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄xF₅	40	8	(C4xF5).8C2^2	320,1604
(C₄xF₅).₉C₂² = D₈xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	40	8+	(C4xF5).9C2^2	320,1068
(C₄xF₅).₁₀C₂² = D₈:₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80	8-	(C4xF5).10C2^2	320,1070
(C₄xF₅).₁₁C₂² = SD₁₆xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	40	8	(C4xF5).11C2^2	320,1072
(C₄xF₅).₁₂C₂² = SD₁₆:₃F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80	8	(C4xF5).12C2^2	320,1074
(C₄xF₅).₁₃C₂² = Q₁₆xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80	8-	(C4xF5).13C2^2	320,1076
(C₄xF₅).₁₄C₂² = Q₁₆:₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80	8+	(C4xF5).14C2^2	320,1078
(C₄xF₅).₁₅C₂² = C₂xQ₈xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5).15C2^2	320,1599
(C₄xF₅).₁₆C₂² = C₂xC₈:F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5).16C2^2	320,1055
(C₄xF₅).₁₇C₂² = C₂₀.₁₂C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80	4	(C4xF5).17C2^2	320,1056
(C₄xF₅).₁₈C₂² = M₄(2)xF₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	40	8	(C4xF5).18C2^2	320,1064
(C₄xF₅).₁₉C₂² = M₄(2):₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄xF₅	80	8	(C4xF5).19C2^2	320,1066
(C₄xF₅).₂₀C₂² = C₂xC₈xF₅	φ: trivial image	80		(C4xF5).20C2^2	320,1054
(C₄xF₅).₂₁C₂² = C₄oD₄xF₅	φ: trivial image	40	8	(C4xF5).21C2^2	320,1603

Extensions 1→N→G→Q→1 with N=C4xF5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄xF₅ and Q=C₂²