Extensions 1→N→G→Q→1 with N=C₂³×C₄ and Q=D₅

Direct product G=N×Q with N=C₂³×C₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₂³×C₄		160		D5xC2^3xC4	320,1609

Semidirect products G=N:Q with N=C₂³×C₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₄)⋊₁D₅ = C₂⁴.₆₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):1D5	320,840
(C₂³×C₄)⋊₂D₅ = C₂²×D₁₀⋊C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):2D5	320,1459
(C₂³×C₄)⋊₃D₅ = C₂×C₄×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):3D5	320,1460
(C₂³×C₄)⋊₄D₅ = C₂×C₂³.₂₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):4D5	320,1461
(C₂³×C₄)⋊₅D₅ = C₂×C₂₀⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):5D5	320,1462
(C₂³×C₄)⋊₆D₅ = C₂⁴.₇₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	80		(C2^3xC4):6D5	320,1463
(C₂³×C₄)⋊₇D₅ = C₂³×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):7D5	320,1610
(C₂³×C₄)⋊₈D₅ = C₂²×C₄○D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):8D5	320,1611

Non-split extensions G=N.Q with N=C₂³×C₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₄).₁D₅ = C₂×C₂₀.₅₅D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).1D5	320,833
(C₂³×C₄).₂D₅ = C₂×C₁₀.₁₀C₄²	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).2D5	320,835
(C₂³×C₄).₃D₅ = C₄×C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).3D5	320,836
(C₂³×C₄).₄D₅ = C₂⁴.₆₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).4D5	320,837
(C₂³×C₄).₅D₅ = C₂⁴.₆₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).5D5	320,838
(C₂³×C₄).₆D₅ = C₂²×C₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).6D5	320,1455
(C₂³×C₄).₇D₅ = C₂⁴.₄Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	80		(C2^3xC4).7D5	320,834
(C₂³×C₄).₈D₅ = C₂⁴.₆₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).8D5	320,839
(C₂³×C₄).₉D₅ = C₂²×C₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).9D5	320,1453
(C₂³×C₄).₁₀D₅ = C₂×C₂₀.₄₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).10D5	320,1456
(C₂³×C₄).₁₁D₅ = C₂²×C₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).11D5	320,1457
(C₂³×C₄).₁₂D₅ = C₂×C₂³.₂₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).12D5	320,1458
(C₂³×C₄).₁₃D₅ = C₂³×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).13D5	320,1608
(C₂³×C₄).₁₄D₅ = C₂³×C₅⋊₂C₈	central extension (φ=1)	320		(C2^3xC4).14D5	320,1452
(C₂³×C₄).₁₅D₅ = C₂²×C₄×Dic₅	central extension (φ=1)	320		(C2^3xC4).15D5	320,1454

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