Extensions 1→N→G→Q→1 with N=C₄×Q₈ and Q=D₅

Direct product G=N×Q with N=C₄×Q₈ and Q=D₅

		d	ρ	Label	ID
C₄×Q₈×D₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=C₄×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Q₈)⋊₁D₅ = C₄×Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):1D5	320,652
(C₄×Q₈)⋊₂D₅ = C₄².₅₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):2D5	320,653
(C₄×Q₈)⋊₃D₅ = Q₈⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):3D5	320,654
(C₄×Q₈)⋊₄D₅ = Q₈.₁D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):4D5	320,655
(C₄×Q₈)⋊₅D₅ = C₄².₁₂₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):5D5	320,1240
(C₄×Q₈)⋊₆D₅ = C₄².₁₂₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):6D5	320,1244
(C₄×Q₈)⋊₇D₅ = C₄².₁₂₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):7D5	320,1246
(C₄×Q₈)⋊₈D₅ = Q₈×D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):8D5	320,1247
(C₄×Q₈)⋊₉D₅ = Q₈⋊₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):9D5	320,1248
(C₄×Q₈)⋊₁₀D₅ = Q₈⋊₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):10D5	320,1249
(C₄×Q₈)⋊₁₁D₅ = C₄².₂₃₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):11D5	320,1250
(C₄×Q₈)⋊₁₂D₅ = D₂₀⋊₁₀Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):12D5	320,1251
(C₄×Q₈)⋊₁₃D₅ = C₄².₁₃₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):13D5	320,1252
(C₄×Q₈)⋊₁₄D₅ = C₄².₁₃₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):14D5	320,1253
(C₄×Q₈)⋊₁₅D₅ = C₄².₁₃₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):15D5	320,1254
(C₄×Q₈)⋊₁₆D₅ = C₄².₁₃₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):16D5	320,1255
(C₄×Q₈)⋊₁₇D₅ = C₄².₁₃₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):17D5	320,1256
(C₄×Q₈)⋊₁₈D₅ = C₄².₁₃₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):18D5	320,1257
(C₄×Q₈)⋊₁₉D₅ = C₄×Q₈⋊₂D₅	φ: trivial image	160		(C4xQ8):19D5	320,1245

Non-split extensions G=N.Q with N=C₄×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Q₈).₁D₅ = C₂₀.₂₆Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).1D5	320,93
(C₄×Q₈).₂D₅ = C₂₀.₄₈SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).2D5	320,647
(C₄×Q₈).₃D₅ = C₂₀.₂₃Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).3D5	320,648
(C₄×Q₈).₄D₅ = Q₈.₃Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).4D5	320,649
(C₄×Q₈).₅D₅ = C₄².₂₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).5D5	320,651
(C₄×Q₈).₆D₅ = C₄×C₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).6D5	320,656
(C₄×Q₈).₇D₅ = C₄².₅₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).7D5	320,657
(C₄×Q₈).₈D₅ = C₂₀⋊₇Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).8D5	320,658
(C₄×Q₈).₉D₅ = Q₈×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).9D5	320,1238
(C₄×Q₈).₁₀D₅ = Dic₁₀⋊₁₀Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).10D5	320,1239
(C₄×Q₈).₁₁D₅ = Q₈⋊₅Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).11D5	320,1241
(C₄×Q₈).₁₂D₅ = Q₈⋊₆Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).12D5	320,1242
(C₄×Q₈).₁₃D₅ = Q₈×C₅⋊₂C₈	φ: trivial image	320		(C4xQ8).13D5	320,650

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