Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=D₅

Direct product G=N×Q with N=C₂×C₄² and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₄²		160		D5xC2xC4^2	320,1143

Semidirect products G=N:Q with N=C₂×C₄² and Q=D₅

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄²)⋊₁D₅ = C₄×D₁₀⋊C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):1D5	320,565
(C₂×C₄²)⋊₂D₅ = (C₂×C₄²)⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):2D5	320,567
(C₂×C₄²)⋊₃D₅ = C₂×C₄²⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):3D5	320,1144
(C₂×C₄²)⋊₄D₅ = C₂×C₄²⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):4D5	320,1150
(C₂×C₄²)⋊₅D₅ = C₂×D₂₀⋊₄C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	80	(C2xC4^2):5D5	320,554
(C₂×C₄²)⋊₆D₅ = (C₂×C₄)⋊₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):6D5	320,566
(C₂×C₄²)⋊₇D₅ = C₂×C₄×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):7D5	320,1145
(C₂×C₄²)⋊₈D₅ = C₄×C₄○D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):8D5	320,1146
(C₂×C₄²)⋊₉D₅ = C₂×C₂₀⋊₄D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):9D5	320,1147
(C₂×C₄²)⋊₁₀D₅ = C₂×C₄.D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):10D5	320,1148
(C₂×C₄²)⋊₁₁D₅ = C₄².₂₇₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):11D5	320,1149
(C₂×C₄²)⋊₁₂D₅ = C₄².₂₇₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):12D5	320,1151

Non-split extensions G=N.Q with N=C₂×C₄² and Q=D₅

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄²).₁D₅ = (C₂×C₂₀)⋊₈C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).1D5	320,82
(C₂×C₄²).₂D₅ = C₂×C₄².D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).2D5	320,548
(C₂×C₄²).₃D₅ = C₄×C₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).3D5	320,558
(C₂×C₄²).₄D₅ = C₄²⋊₄Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).4D5	320,559
(C₂×C₄²).₅D₅ = C₁₀.₉₂(C₄×D₄)	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).5D5	320,560
(C₂×C₄²).₆D₅ = C₄²⋊₅Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).6D5	320,564
(C₂×C₄²).₇D₅ = C₄²⋊₆Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	80	(C2xC4^2).7D5	320,81
(C₂×C₄²).₈D₅ = C₄×C₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).8D5	320,549
(C₂×C₄²).₉D₅ = C₂×C₂₀⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).9D5	320,550
(C₂×C₄²).₁₀D₅ = C₂₀⋊₁₃M₄(2)	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).10D5	320,551
(C₂×C₄²).₁₁D₅ = C₄².₆Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).11D5	320,552
(C₂×C₄²).₁₂D₅ = C₄².₇Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).12D5	320,553
(C₂×C₄²).₁₃D₅ = C₂₀⋊₇(C₄⋊C₄)	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).13D5	320,555
(C₂×C₄²).₁₄D₅ = (C₂×C₂₀)⋊₁₀Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).14D5	320,556
(C₂×C₄²).₁₅D₅ = C₄×C₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).15D5	320,561
(C₂×C₄²).₁₆D₅ = C₄²⋊₈Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).16D5	320,562
(C₂×C₄²).₁₇D₅ = C₄²⋊₉Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).17D5	320,563
(C₂×C₄²).₁₈D₅ = C₂×C₄×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).18D5	320,1139
(C₂×C₄²).₁₉D₅ = C₂×C₂₀⋊₂Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).19D5	320,1140
(C₂×C₄²).₂₀D₅ = C₂×C₂₀.₆Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).20D5	320,1141
(C₂×C₄²).₂₁D₅ = C₄².₂₇₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).21D5	320,1142
(C₂×C₄²).₂₂D₅ = C₂×C₄×C₅⋊₂C₈	central extension (φ=1)	320	(C2xC4^2).22D5	320,547
(C₂×C₄²).₂₃D₅ = C₄²×Dic₅	central extension (φ=1)	320	(C2xC4^2).23D5	320,557

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Extensions 1→N→G→Q→1 with N=C2×C42 and Q=D5

Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=D₅