Extensions 1→N→G→Q→1 with N=S3xD4 and Q=C10

Direct product G=NxQ with N=S3xD4 and Q=C10
dρLabelID
S3xD4xC10120S3xD4xC10480,1154

Semidirect products G=N:Q with N=S3xD4 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3xD4):1C10 = C5xS3xD8φ: C10/C5C2 ⊆ Out S3xD41204(S3xD4):1C10480,789
(S3xD4):2C10 = C5xD8:S3φ: C10/C5C2 ⊆ Out S3xD41204(S3xD4):2C10480,790
(S3xD4):3C10 = C5xQ8:3D6φ: C10/C5C2 ⊆ Out S3xD41204(S3xD4):3C10480,793
(S3xD4):4C10 = C5xD4:6D6φ: C10/C5C2 ⊆ Out S3xD41204(S3xD4):4C10480,1156
(S3xD4):5C10 = C5xD4oD12φ: C10/C5C2 ⊆ Out S3xD41204(S3xD4):5C10480,1161
(S3xD4):6C10 = C5xS3xC4oD4φ: trivial image1204(S3xD4):6C10480,1160

Non-split extensions G=N.Q with N=S3xD4 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3xD4).C10 = C5xS3xSD16φ: C10/C5C2 ⊆ Out S3xD41204(S3xD4).C10480,792

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