Extensions 1→N→G→Q→1 with N=C₂³xC₄ and Q=D₅

Direct product G=NxQ with N=C₂³xC₄ and Q=D₅

		d	ρ	Label	ID
D₅xC₂³xC₄		160		D5xC2^3xC4	320,1609

Semidirect products G=N:Q with N=C₂³xC₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₄):₁D₅ = C₂⁴.₆₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):1D5	320,840
(C₂³xC₄):₂D₅ = C₂²xD₁₀:C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):2D5	320,1459
(C₂³xC₄):₃D₅ = C₂xC₄xC₅:D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):3D5	320,1460
(C₂³xC₄):₄D₅ = C₂xC₂³.₂₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):4D5	320,1461
(C₂³xC₄):₅D₅ = C₂xC₂₀:₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):5D5	320,1462
(C₂³xC₄):₆D₅ = C₂⁴.₇₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	80		(C2^3xC4):6D5	320,1463
(C₂³xC₄):₇D₅ = C₂³xD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):7D5	320,1610
(C₂³xC₄):₈D₅ = C₂²xC₄oD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):8D5	320,1611

Non-split extensions G=N.Q with N=C₂³xC₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₄).₁D₅ = C₂xC₂₀.₅₅D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).1D5	320,833
(C₂³xC₄).₂D₅ = C₂xC₁₀.₁₀C₄²	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).2D5	320,835
(C₂³xC₄).₃D₅ = C₄xC₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).3D5	320,836
(C₂³xC₄).₄D₅ = C₂⁴.₆₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).4D5	320,837
(C₂³xC₄).₅D₅ = C₂⁴.₆₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).5D5	320,838
(C₂³xC₄).₆D₅ = C₂²xC₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).6D5	320,1455
(C₂³xC₄).₇D₅ = C₂⁴.₄Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	80		(C2^3xC4).7D5	320,834
(C₂³xC₄).₈D₅ = C₂⁴.₆₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).8D5	320,839
(C₂³xC₄).₉D₅ = C₂²xC₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).9D5	320,1453
(C₂³xC₄).₁₀D₅ = C₂xC₂₀.₄₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).10D5	320,1456
(C₂³xC₄).₁₁D₅ = C₂²xC₄:Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).11D5	320,1457
(C₂³xC₄).₁₂D₅ = C₂xC₂³.₂₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).12D5	320,1458
(C₂³xC₄).₁₃D₅ = C₂³xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).13D5	320,1608
(C₂³xC₄).₁₄D₅ = C₂³xC₅:₂C₈	central extension (φ=1)	320		(C2^3xC4).14D5	320,1452
(C₂³xC₄).₁₅D₅ = C₂²xC₄xDic₅	central extension (φ=1)	320		(C2^3xC4).15D5	320,1454

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