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Extensions 1→N→G→Q→1 with N=C2xC5:2C8 and Q=S3

Direct product G=NxQ with N=C2xC5:2C8 and Q=S3
dρLabelID
C2xS3xC5:2C8240C2xS3xC5:2C8480,361

Semidirect products G=N:Q with N=C2xC5:2C8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2xC5:2C8):1S3 = C10.D24φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):1S3480,43
(C2xC5:2C8):2S3 = D60:15C4φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):2S3480,45
(C2xC5:2C8):3S3 = D12.2Dic5φ: S3/C3 → C2 ⊆ Out C2xC5:2C82404(C2xC5:2C8):3S3480,362
(C2xC5:2C8):4S3 = D60.5C4φ: S3/C3 → C2 ⊆ Out C2xC5:2C82404(C2xC5:2C8):4S3480,366
(C2xC5:2C8):5S3 = C2xC5:D24φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):5S3480,378
(C2xC5:2C8):6S3 = C20.60D12φ: S3/C3 → C2 ⊆ Out C2xC5:2C82404(C2xC5:2C8):6S3480,379
(C2xC5:2C8):7S3 = C2xD12.D5φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):7S3480,392
(C2xC5:2C8):8S3 = C2xDic6:D5φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):8S3480,393
(C2xC5:2C8):9S3 = C60.94D4φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):9S3480,32
(C2xC5:2C8):10S3 = D30:4C8φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):10S3480,33
(C2xC5:2C8):11S3 = C2xD6.Dic5φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):11S3480,370
(C2xC5:2C8):12S3 = C2xD30.5C4φ: S3/C3 → C2 ⊆ Out C2xC5:2C8240(C2xC5:2C8):12S3480,371
(C2xC5:2C8):13S3 = C2xD15:2C8φ: trivial image240(C2xC5:2C8):13S3480,365

Non-split extensions G=N.Q with N=C2xC5:2C8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2xC5:2C8).1S3 = C10.Dic12φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).1S3480,49
(C2xC5:2C8).2S3 = Dic30:15C4φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).2S3480,51
(C2xC5:2C8).3S3 = C60.7Q8φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).3S3480,61
(C2xC5:2C8).4S3 = C60.8Q8φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).4S3480,64
(C2xC5:2C8).5S3 = C60.105D4φ: S3/C3 → C2 ⊆ Out C2xC5:2C82404(C2xC5:2C8).5S3480,67
(C2xC5:2C8).6S3 = C2xC5:Dic12φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).6S3480,396
(C2xC5:2C8).7S3 = C30.22C42φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).7S3480,29
(C2xC5:2C8).8S3 = C30.23C42φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).8S3480,30
(C2xC5:2C8).9S3 = C60.14Q8φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).9S3480,59
(C2xC5:2C8).10S3 = C60.15Q8φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).10S3480,60
(C2xC5:2C8).11S3 = C60.C8φ: S3/C3 → C2 ⊆ Out C2xC5:2C82404(C2xC5:2C8).11S3480,303
(C2xC5:2C8).12S3 = C2xC15:C16φ: S3/C3 → C2 ⊆ Out C2xC5:2C8480(C2xC5:2C8).12S3480,302
(C2xC5:2C8).13S3 = Dic3xC5:2C8φ: trivial image480(C2xC5:2C8).13S3480,26
(C2xC5:2C8).14S3 = Dic15:4C8φ: trivial image480(C2xC5:2C8).14S3480,27

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