Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₄xS₃ and Q=C₂xC₁₀

		d	ρ	Label	ID
S₃xC₂²xC₂₀		240		S3xC2^2xC20	480,1151

Semidirect products G=N:Q with N=C₄xS₃ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃):₁(C₂xC₁₀) = C₅xD₄:₆D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4	(C4xS3):1(C2xC10)	480,1156
(C₄xS₃):₂(C₂xC₁₀) = C₅xD₄oD₁₂	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4	(C4xS3):2(C2xC10)	480,1161
(C₄xS₃):₃(C₂xC₁₀) = S₃xD₄xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120		(C4xS3):3(C2xC10)	480,1154
(C₄xS₃):₄(C₂xC₁₀) = C₁₀xD₄:₂S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3):4(C2xC10)	480,1155
(C₄xS₃):₅(C₂xC₁₀) = C₁₀xQ₈:₃S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3):5(C2xC10)	480,1158
(C₄xS₃):₆(C₂xC₁₀) = C₁₀xC₄oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3):6(C2xC10)	480,1153
(C₄xS₃):₇(C₂xC₁₀) = C₅xS₃xC₄oD₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3):7(C2xC10)	480,1160

Non-split extensions G=N.Q with N=C₄xS₃ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁(C₂xC₁₀) = C₅xD₈:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4	(C4xS3).1(C2xC10)	480,790
(C₄xS₃).₂(C₂xC₁₀) = C₅xQ₈:₃D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4	(C4xS3).2(C2xC10)	480,793
(C₄xS₃).₃(C₂xC₁₀) = C₅xD₄.D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4	(C4xS3).3(C2xC10)	480,794
(C₄xS₃).₄(C₂xC₁₀) = C₅xQ₁₆:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4	(C4xS3).4(C2xC10)	480,797
(C₄xS₃).₅(C₂xC₁₀) = C₅xQ₈.₁₅D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4	(C4xS3).5(C2xC10)	480,1159
(C₄xS₃).₆(C₂xC₁₀) = C₅xQ₈oD₁₂	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4	(C4xS3).6(C2xC10)	480,1162
(C₄xS₃).₇(C₂xC₁₀) = C₅xS₃xD₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3).7(C2xC10)	480,789
(C₄xS₃).₈(C₂xC₁₀) = C₅xD₈:₃S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).8(C2xC10)	480,791
(C₄xS₃).₉(C₂xC₁₀) = C₅xS₃xSD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3).9(C2xC10)	480,792
(C₄xS₃).₁₀(C₂xC₁₀) = C₅xQ₈.₇D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).10(C2xC10)	480,795
(C₄xS₃).₁₁(C₂xC₁₀) = C₅xS₃xQ₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).11(C2xC10)	480,796
(C₄xS₃).₁₂(C₂xC₁₀) = C₅xD₂₄:C₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).12(C2xC10)	480,798
(C₄xS₃).₁₃(C₂xC₁₀) = S₃xQ₈xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3).13(C2xC10)	480,1157
(C₄xS₃).₁₄(C₂xC₁₀) = C₁₀xC₈:S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3).14(C2xC10)	480,779
(C₄xS₃).₁₅(C₂xC₁₀) = C₅xC₈oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	2	(C4xS3).15(C2xC10)	480,780
(C₄xS₃).₁₆(C₂xC₁₀) = C₅xS₃xM₄(2)	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3).16(C2xC10)	480,785
(C₄xS₃).₁₇(C₂xC₁₀) = C₅xD₁₂.C₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).17(C2xC10)	480,786
(C₄xS₃).₁₈(C₂xC₁₀) = S₃xC₂xC₄₀	φ: trivial image	240		(C4xS3).18(C2xC10)	480,778

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