Extensions 1→N→G→Q→1 with N=C4×S3 and Q=C2×C10

Direct product G=N×Q with N=C4×S3 and Q=C2×C10
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C4×S3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
(C4×S3)⋊1(C2×C10) = C5×D46D6φ: C2×C10/C5C22 ⊆ Out C4×S31204(C4xS3):1(C2xC10)480,1156
(C4×S3)⋊2(C2×C10) = C5×D4○D12φ: C2×C10/C5C22 ⊆ Out C4×S31204(C4xS3):2(C2xC10)480,1161
(C4×S3)⋊3(C2×C10) = S3×D4×C10φ: C2×C10/C10C2 ⊆ Out C4×S3120(C4xS3):3(C2xC10)480,1154
(C4×S3)⋊4(C2×C10) = C10×D42S3φ: C2×C10/C10C2 ⊆ Out C4×S3240(C4xS3):4(C2xC10)480,1155
(C4×S3)⋊5(C2×C10) = C10×Q83S3φ: C2×C10/C10C2 ⊆ Out C4×S3240(C4xS3):5(C2xC10)480,1158
(C4×S3)⋊6(C2×C10) = C10×C4○D12φ: C2×C10/C10C2 ⊆ Out C4×S3240(C4xS3):6(C2xC10)480,1153
(C4×S3)⋊7(C2×C10) = C5×S3×C4○D4φ: C2×C10/C10C2 ⊆ Out C4×S31204(C4xS3):7(C2xC10)480,1160

Non-split extensions G=N.Q with N=C4×S3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
(C4×S3).1(C2×C10) = C5×D8⋊S3φ: C2×C10/C5C22 ⊆ Out C4×S31204(C4xS3).1(C2xC10)480,790
(C4×S3).2(C2×C10) = C5×Q83D6φ: C2×C10/C5C22 ⊆ Out C4×S31204(C4xS3).2(C2xC10)480,793
(C4×S3).3(C2×C10) = C5×D4.D6φ: C2×C10/C5C22 ⊆ Out C4×S32404(C4xS3).3(C2xC10)480,794
(C4×S3).4(C2×C10) = C5×Q16⋊S3φ: C2×C10/C5C22 ⊆ Out C4×S32404(C4xS3).4(C2xC10)480,797
(C4×S3).5(C2×C10) = C5×Q8.15D6φ: C2×C10/C5C22 ⊆ Out C4×S32404(C4xS3).5(C2xC10)480,1159
(C4×S3).6(C2×C10) = C5×Q8○D12φ: C2×C10/C5C22 ⊆ Out C4×S32404(C4xS3).6(C2xC10)480,1162
(C4×S3).7(C2×C10) = C5×S3×D8φ: C2×C10/C10C2 ⊆ Out C4×S31204(C4xS3).7(C2xC10)480,789
(C4×S3).8(C2×C10) = C5×D83S3φ: C2×C10/C10C2 ⊆ Out C4×S32404(C4xS3).8(C2xC10)480,791
(C4×S3).9(C2×C10) = C5×S3×SD16φ: C2×C10/C10C2 ⊆ Out C4×S31204(C4xS3).9(C2xC10)480,792
(C4×S3).10(C2×C10) = C5×Q8.7D6φ: C2×C10/C10C2 ⊆ Out C4×S32404(C4xS3).10(C2xC10)480,795
(C4×S3).11(C2×C10) = C5×S3×Q16φ: C2×C10/C10C2 ⊆ Out C4×S32404(C4xS3).11(C2xC10)480,796
(C4×S3).12(C2×C10) = C5×D24⋊C2φ: C2×C10/C10C2 ⊆ Out C4×S32404(C4xS3).12(C2xC10)480,798
(C4×S3).13(C2×C10) = S3×Q8×C10φ: C2×C10/C10C2 ⊆ Out C4×S3240(C4xS3).13(C2xC10)480,1157
(C4×S3).14(C2×C10) = C10×C8⋊S3φ: C2×C10/C10C2 ⊆ Out C4×S3240(C4xS3).14(C2xC10)480,779
(C4×S3).15(C2×C10) = C5×C8○D12φ: C2×C10/C10C2 ⊆ Out C4×S32402(C4xS3).15(C2xC10)480,780
(C4×S3).16(C2×C10) = C5×S3×M4(2)φ: C2×C10/C10C2 ⊆ Out C4×S31204(C4xS3).16(C2xC10)480,785
(C4×S3).17(C2×C10) = C5×D12.C4φ: C2×C10/C10C2 ⊆ Out C4×S32404(C4xS3).17(C2xC10)480,786
(C4×S3).18(C2×C10) = S3×C2×C40φ: trivial image240(C4xS3).18(C2xC10)480,778

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