Extensions 1→N→G→Q→1 with N=C₂xC₄² and Q=D₅

Direct product G=NxQ with N=C₂xC₄² and Q=D₅

		d	ρ	Label	ID
D₅xC₂xC₄²		160		D5xC2xC4^2	320,1143

Semidirect products G=N:Q with N=C₂xC₄² and Q=D₅

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₄²):₁D₅ = C₄xD₁₀:C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):1D5	320,565
(C₂xC₄²):₂D₅ = (C₂xC₄²):D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):2D5	320,567
(C₂xC₄²):₃D₅ = C₂xC₄²:D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):3D5	320,1144
(C₂xC₄²):₄D₅ = C₂xC₄²:₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):4D5	320,1150
(C₂xC₄²):₅D₅ = C₂xD₂₀:₄C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	80	(C2xC4^2):5D5	320,554
(C₂xC₄²):₆D₅ = (C₂xC₄):₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):6D5	320,566
(C₂xC₄²):₇D₅ = C₂xC₄xD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):7D5	320,1145
(C₂xC₄²):₈D₅ = C₄xC₄oD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):8D5	320,1146
(C₂xC₄²):₉D₅ = C₂xC₂₀:₄D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):9D5	320,1147
(C₂xC₄²):₁₀D₅ = C₂xC₄.D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):10D5	320,1148
(C₂xC₄²):₁₁D₅ = C₄².₂₇₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):11D5	320,1149
(C₂xC₄²):₁₂D₅ = C₄².₂₇₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2):12D5	320,1151

Non-split extensions G=N.Q with N=C₂xC₄² and Q=D₅

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₄²).₁D₅ = (C₂xC₂₀):₈C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).1D5	320,82
(C₂xC₄²).₂D₅ = C₂xC₄².D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).2D5	320,548
(C₂xC₄²).₃D₅ = C₄xC₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).3D5	320,558
(C₂xC₄²).₄D₅ = C₄²:₄Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).4D5	320,559
(C₂xC₄²).₅D₅ = C₁₀.₉₂(C₄xD₄)	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).5D5	320,560
(C₂xC₄²).₆D₅ = C₄²:₅Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).6D5	320,564
(C₂xC₄²).₇D₅ = C₄²:₆Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	80	(C2xC4^2).7D5	320,81
(C₂xC₄²).₈D₅ = C₄xC₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2).8D5	320,549
(C₂xC₄²).₉D₅ = C₂xC₂₀:₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).9D5	320,550
(C₂xC₄²).₁₀D₅ = C₂₀:₁₃M₄(2)	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2).10D5	320,551
(C₂xC₄²).₁₁D₅ = C₄².₆Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2).11D5	320,552
(C₂xC₄²).₁₂D₅ = C₄².₇Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2).12D5	320,553
(C₂xC₄²).₁₃D₅ = C₂₀:₇(C₄:C₄)	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).13D5	320,555
(C₂xC₄²).₁₄D₅ = (C₂xC₂₀):₁₀Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).14D5	320,556
(C₂xC₄²).₁₅D₅ = C₄xC₄:Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).15D5	320,561
(C₂xC₄²).₁₆D₅ = C₄²:₈Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).16D5	320,562
(C₂xC₄²).₁₇D₅ = C₄²:₉Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).17D5	320,563
(C₂xC₄²).₁₈D₅ = C₂xC₄xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).18D5	320,1139
(C₂xC₄²).₁₉D₅ = C₂xC₂₀:₂Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).19D5	320,1140
(C₂xC₄²).₂₀D₅ = C₂xC₂₀.₆Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	320	(C2xC4^2).20D5	320,1141
(C₂xC₄²).₂₁D₅ = C₄².₂₇₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄²	160	(C2xC4^2).21D5	320,1142
(C₂xC₄²).₂₂D₅ = C₂xC₄xC₅:₂C₈	central extension (φ=1)	320	(C2xC4^2).22D5	320,547
(C₂xC₄²).₂₃D₅ = C₄²xDic₅	central extension (φ=1)	320	(C2xC4^2).23D5	320,557

Extensions 1→N→G→Q→1 with N=C2xC42 and Q=D5

Extensions 1→N→G→Q→1 with N=C₂xC₄² and Q=D₅