Extensions 1→N→G→Q→1 with N=S3xC2xC10 and Q=C2

Direct product G=NxQ with N=S3xC2xC10 and Q=C2
dρLabelID
S3xC22xC10120S3xC2^2xC10240,206

Semidirect products G=N:Q with N=S3xC2xC10 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC2xC10):1C2 = C2xC15:D4φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10):1C2240,145
(S3xC2xC10):2C2 = C2xC5:D12φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10):2C2240,147
(S3xC2xC10):3C2 = S3xC5:D4φ: C2/C1C2 ⊆ Out S3xC2xC10604(S3xC2xC10):3C2240,150
(S3xC2xC10):4C2 = C22xS3xD5φ: C2/C1C2 ⊆ Out S3xC2xC1060(S3xC2xC10):4C2240,202
(S3xC2xC10):5C2 = C10xD12φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10):5C2240,167
(S3xC2xC10):6C2 = C5xS3xD4φ: C2/C1C2 ⊆ Out S3xC2xC10604(S3xC2xC10):6C2240,169
(S3xC2xC10):7C2 = C10xC3:D4φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10):7C2240,174

Non-split extensions G=N.Q with N=S3xC2xC10 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC2xC10).1C2 = D6:Dic5φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10).1C2240,27
(S3xC2xC10).2C2 = C2xS3xDic5φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10).2C2240,142
(S3xC2xC10).3C2 = C5xD6:C4φ: C2/C1C2 ⊆ Out S3xC2xC10120(S3xC2xC10).3C2240,59
(S3xC2xC10).4C2 = S3xC2xC20φ: trivial image120(S3xC2xC10).4C2240,166

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