Extensions 1→N→G→Q→1 with N=S3xC8 and Q=C10

Direct product G=NxQ with N=S3xC8 and Q=C10
dρLabelID
S3xC2xC40240S3xC2xC40480,778

Semidirect products G=N:Q with N=S3xC8 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3xC8):1C10 = C5xS3xD8φ: C10/C5C2 ⊆ Out S3xC81204(S3xC8):1C10480,789
(S3xC8):2C10 = C5xD8:3S3φ: C10/C5C2 ⊆ Out S3xC82404(S3xC8):2C10480,791
(S3xC8):3C10 = C5xD24:C2φ: C10/C5C2 ⊆ Out S3xC82404(S3xC8):3C10480,798
(S3xC8):4C10 = C5xS3xSD16φ: C10/C5C2 ⊆ Out S3xC81204(S3xC8):4C10480,792
(S3xC8):5C10 = C5xQ8.7D6φ: C10/C5C2 ⊆ Out S3xC82404(S3xC8):5C10480,795
(S3xC8):6C10 = C5xC8oD12φ: C10/C5C2 ⊆ Out S3xC82402(S3xC8):6C10480,780
(S3xC8):7C10 = C5xS3xM4(2)φ: C10/C5C2 ⊆ Out S3xC81204(S3xC8):7C10480,785
(S3xC8):8C10 = C5xD12.C4φ: C10/C5C2 ⊆ Out S3xC82404(S3xC8):8C10480,786

Non-split extensions G=N.Q with N=S3xC8 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3xC8).1C10 = C5xS3xQ16φ: C10/C5C2 ⊆ Out S3xC82404(S3xC8).1C10480,796
(S3xC8).2C10 = C5xD6.C8φ: C10/C5C2 ⊆ Out S3xC82402(S3xC8).2C10480,117
(S3xC8).3C10 = S3xC80φ: trivial image2402(S3xC8).3C10480,116

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