Extensions 1→N→G→Q→1 with N=C₁₀xD₁₂ and Q=C₂

Direct product G=NxQ with N=C₁₀xD₁₂ and Q=C₂

		d	ρ	Label	ID
C₂xC₁₀xD₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=C₁₀xD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xD₁₂):₁C₂ = D₂₀:₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12):1C2	480,375
(C₁₀xD₁₂):₂C₂ = D₆₀:₃₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12):2C2	480,380
(C₁₀xD₁₂):₃C₂ = D₂₀:₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12):3C2	480,1094
(C₁₀xD₁₂):₄C₂ = C₂xC₅:D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):4C2	480,378
(C₁₀xD₁₂):₅C₂ = C₆₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):5C2	480,525
(C₁₀xD₁₂):₆C₂ = C₂₀:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):6C2	480,527
(C₁₀xD₁₂):₇C₂ = C₂xD₁₂:₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):7C2	480,1084
(C₁₀xD₁₂):₈C₂ = C₂xD₅xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120		(C10xD12):8C2	480,1087
(C₁₀xD₁₂):₉C₂ = C₂xC₁₅:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):9C2	480,372
(C₁₀xD₁₂):₁₀C₂ = C₆₀:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):10C2	480,539
(C₁₀xD₁₂):₁₁C₂ = C₂₀:₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):11C2	480,542
(C₁₀xD₁₂):₁₂C₂ = C₂xD₁₂:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):12C2	480,1079
(C₁₀xD₁₂):₁₃C₂ = C₂xC₂₀:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120		(C10xD12):13C2	480,1089
(C₁₀xD₁₂):₁₄C₂ = Dic₅:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):14C2	480,492
(C₁₀xD₁₂):₁₅C₂ = Dic₁₅:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):15C2	480,529
(C₁₀xD₁₂):₁₆C₂ = D₃₀:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120		(C10xD12):16C2	480,551
(C₁₀xD₁₂):₁₇C₂ = C₅xC₄:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):17C2	480,753
(C₁₀xD₁₂):₁₈C₂ = C₅xD₆:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120		(C10xD12):18C2	480,761
(C₁₀xD₁₂):₁₉C₂ = C₅xDic₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):19C2	480,763
(C₁₀xD₁₂):₂₀C₂ = C₅xC₁₂:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):20C2	480,774
(C₁₀xD₁₂):₂₁C₂ = C₁₀xD₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):21C2	480,782
(C₁₀xD₁₂):₂₂C₂ = C₅xC₁₂:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):22C2	480,809
(C₁₀xD₁₂):₂₃C₂ = C₅xC₈:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12):23C2	480,787
(C₁₀xD₁₂):₂₄C₂ = C₁₀xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):24C2	480,810
(C₁₀xD₁₂):₂₅C₂ = C₅xC₁₂:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):25C2	480,819
(C₁₀xD₁₂):₂₆C₂ = C₅xD₄:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12):26C2	480,828
(C₁₀xD₁₂):₂₇C₂ = S₃xD₄xC₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120		(C10xD12):27C2	480,1154
(C₁₀xD₁₂):₂₈C₂ = C₁₀xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12):28C2	480,1158
(C₁₀xD₁₂):₂₉C₂ = C₅xD₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12):29C2	480,1161
(C₁₀xD₁₂):₃₀C₂ = C₁₀xC₄oD₁₂	φ: trivial image	240		(C10xD12):30C2	480,1153

Non-split extensions G=N.Q with N=C₁₀xD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xD₁₂).₁C₂ = C₂₀.₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12).1C2	480,35
(C₁₀xD₁₂).₂C₂ = C₁₀.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).2C2	480,43
(C₁₀xD₁₂).₃C₂ = C₂xD₁₂.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).3C2	480,392
(C₁₀xD₁₂).₄C₂ = C₆₀.₆₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).4C2	480,449
(C₁₀xD₁₂).₅C₂ = Dic₅xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).5C2	480,491
(C₁₀xD₁₂).₆C₂ = D₁₂:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).6C2	480,42
(C₁₀xD₁₂).₇C₂ = C₂xC₂₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).7C2	480,384
(C₁₀xD₁₂).₈C₂ = C₆₀.₈₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).8C2	480,446
(C₁₀xD₁₂).₉C₂ = Dic₁₅:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).9C2	480,511
(C₁₀xD₁₂).₁₀C₂ = C₅xC₂.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).10C2	480,140
(C₁₀xD₁₂).₁₁C₂ = (C₂xD₁₂).D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).11C2	480,499
(C₁₀xD₁₂).₁₂C₂ = C₅xC₄²:₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).12C2	480,754
(C₁₀xD₁₂).₁₃C₂ = C₅xD₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).13C2	480,773
(C₁₀xD₁₂).₁₄C₂ = C₁₀xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).14C2	480,781
(C₁₀xD₁₂).₁₅C₂ = C₅xC₆.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).15C2	480,128
(C₁₀xD₁₂).₁₆C₂ = C₅xC₁₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	120	4	(C10xD12).16C2	480,142
(C₁₀xD₁₂).₁₇C₂ = C₅xDic₃:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).17C2	480,772
(C₁₀xD₁₂).₁₈C₂ = C₁₀xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).18C2	480,820
(C₁₀xD₁₂).₁₉C₂ = C₅xC₁₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xD₁₂	240		(C10xD12).19C2	480,826
(C₁₀xD₁₂).₂₀C₂ = C₂₀xD₁₂	φ: trivial image	240		(C10xD12).20C2	480,752

Extensions 1→N→G→Q→1 with N=C10xD12 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₀xD₁₂ and Q=C₂