Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=D₅

Direct product G=N×Q with N=C₂²×D₄ and Q=D₅

		d	ρ	Label	ID
C₂²×D₄×D₅		80		C2^2xD4xD5	320,1612

Semidirect products G=N:Q with N=C₂²×D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊₁D₅ = (C₂×C₁₀)⋊₈D₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):1D5	320,844
(C₂²×D₄)⋊₂D₅ = C₂⁴.₂₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):2D5	320,850
(C₂²×D₄)⋊₃D₅ = C₂²×D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):3D5	320,1464
(C₂²×D₄)⋊₄D₅ = C₂×D₄.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):4D5	320,1465
(C₂²×D₄)⋊₅D₅ = C₂×C₂³⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):5D5	320,1471
(C₂²×D₄)⋊₆D₅ = C₂×C₂₀⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):6D5	320,1472
(C₂²×D₄)⋊₇D₅ = D₄×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):7D5	320,1473
(C₂²×D₄)⋊₈D₅ = C₂×Dic₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):8D5	320,1474
(C₂²×D₄)⋊₉D₅ = C₂×C₂₀⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4):9D5	320,1475
(C₂²×D₄)⋊₁₀D₅ = C₂⁴⋊₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):10D5	320,1476
(C₂²×D₄)⋊₁₁D₅ = C₂⁴.₄₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):11D5	320,1477
(C₂²×D₄)⋊₁₂D₅ = C₂⁴.₄₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):12D5	320,1478
(C₂²×D₄)⋊₁₃D₅ = C₂×D₄⋊₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4):13D5	320,1614
(C₂²×D₄)⋊₁₄D₅ = C₂²×D₄⋊₂D₅	φ: trivial image	160		(C2^2xD4):14D5	320,1613

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).₁D₅ = C₂×D₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).1D5	320,841
(C₂²×D₄).₂D₅ = (D₄×C₁₀)⋊₁₈C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).2D5	320,842
(C₂²×D₄).₃D₅ = C₂×C₂₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).3D5	320,843
(C₂²×D₄).₄D₅ = (C₅×D₄).₃₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).4D5	320,845
(C₂²×D₄).₅D₅ = C₂×C₂³⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).5D5	320,846
(C₂²×D₄).₆D₅ = C₂⁴.₁₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).6D5	320,847
(C₂²×D₄).₇D₅ = C₂⁴.₁₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).7D5	320,848
(C₂²×D₄).₈D₅ = C₂⁴.₂₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).8D5	320,849
(C₂²×D₄).₉D₅ = C₂²×D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).9D5	320,1466
(C₂²×D₄).₁₀D₅ = C₂×C₂³.₁₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).10D5	320,1468
(C₂²×D₄).₁₁D₅ = C₂×C₂₀.₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	160		(C2^2xD4).11D5	320,1469
(C₂²×D₄).₁₂D₅ = C₂⁴.₃₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₄	80		(C2^2xD4).12D5	320,1470
(C₂²×D₄).₁₃D₅ = C₂×D₄×Dic₅	φ: trivial image	160		(C2^2xD4).13D5	320,1467

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