Extensions 1→N→G→Q→1 with N=C₂×D₁₂ and Q=D₅

Direct product G=N×Q with N=C₂×D₁₂ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×D₁₂		120		C2xD5xD12	480,1087

Semidirect products G=N:Q with N=C₂×D₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₁₂)⋊₁D₅ = C₂×C₅⋊D₂₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):1D5	480,378
(C₂×D₁₂)⋊₂D₅ = Dic₅⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):2D5	480,492
(C₂×D₁₂)⋊₃D₅ = C₆₀⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):3D5	480,525
(C₂×D₁₂)⋊₄D₅ = C₂₀⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):4D5	480,527
(C₂×D₁₂)⋊₅D₅ = Dic₁₅⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):5D5	480,529
(C₂×D₁₂)⋊₆D₅ = D₃₀⋊₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	120		(C2xD12):6D5	480,551
(C₂×D₁₂)⋊₇D₅ = C₂×C₁₅⋊D₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):7D5	480,372
(C₂×D₁₂)⋊₈D₅ = D₂₀⋊₂₁D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12):8D5	480,375
(C₂×D₁₂)⋊₉D₅ = D₆₀⋊₃₆C₂²	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12):9D5	480,380
(C₂×D₁₂)⋊₁₀D₅ = C₆₀⋊₁₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):10D5	480,539
(C₂×D₁₂)⋊₁₁D₅ = C₂₀⋊₂D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):11D5	480,542
(C₂×D₁₂)⋊₁₂D₅ = C₂×D₁₂⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):12D5	480,1079
(C₂×D₁₂)⋊₁₃D₅ = C₂×C₂₀⋊D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	120		(C2xD12):13D5	480,1089
(C₂×D₁₂)⋊₁₄D₅ = D₂₀⋊₂₆D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12):14D5	480,1094
(C₂×D₁₂)⋊₁₅D₅ = C₂×D₁₂⋊₅D₅	φ: trivial image	240		(C2xD12):15D5	480,1084

Non-split extensions G=N.Q with N=C₂×D₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₁₂).₁D₅ = C₁₀.D₂₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).1D5	480,43
(C₂×D₁₂).₂D₅ = C₂×D₁₂.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).2D5	480,392
(C₂×D₁₂).₃D₅ = C₆₀.₆₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).3D5	480,449
(C₂×D₁₂).₄D₅ = (C₂×D₁₂).D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).4D5	480,499
(C₂×D₁₂).₅D₅ = C₂₀.₅D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12).5D5	480,35
(C₂×D₁₂).₆D₅ = D₁₂⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).6D5	480,42
(C₂×D₁₂).₇D₅ = C₂×C₂₀.D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).7D5	480,384
(C₂×D₁₂).₈D₅ = C₆₀.₈₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).8D5	480,446
(C₂×D₁₂).₉D₅ = Dic₁₅⋊₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).9D5	480,511
(C₂×D₁₂).₁₀D₅ = Dic₅×D₁₂	φ: trivial image	240		(C2xD12).10D5	480,491

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