Extensions 1→N→G→Q→1 with N=C2xC3:C8 and Q=C10

Direct product G=NxQ with N=C2xC3:C8 and Q=C10
dρLabelID
C2xC10xC3:C8480C2xC10xC3:C8480,799

Semidirect products G=N:Q with N=C2xC3:C8 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xC3:C8):1C10 = C5xC6.D8φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):1C10480,128
(C2xC3:C8):2C10 = C5xD4:Dic3φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):2C10480,151
(C2xC3:C8):3C10 = C5xD12.C4φ: C10/C5C2 ⊆ Out C2xC3:C82404(C2xC3:C8):3C10480,786
(C2xC3:C8):4C10 = C10xD4:S3φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):4C10480,810
(C2xC3:C8):5C10 = C10xD4.S3φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):5C10480,812
(C2xC3:C8):6C10 = C10xQ8:2S3φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):6C10480,820
(C2xC3:C8):7C10 = C5xD4.Dic3φ: C10/C5C2 ⊆ Out C2xC3:C82404(C2xC3:C8):7C10480,827
(C2xC3:C8):8C10 = C5xQ8.13D6φ: C10/C5C2 ⊆ Out C2xC3:C82404(C2xC3:C8):8C10480,829
(C2xC3:C8):9C10 = C5xD6:C8φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):9C10480,139
(C2xC3:C8):10C10 = C5xC12.55D4φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):10C10480,149
(C2xC3:C8):11C10 = C10xC8:S3φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):11C10480,779
(C2xC3:C8):12C10 = C10xC4.Dic3φ: C10/C5C2 ⊆ Out C2xC3:C8240(C2xC3:C8):12C10480,800
(C2xC3:C8):13C10 = S3xC2xC40φ: trivial image240(C2xC3:C8):13C10480,778

Non-split extensions G=N.Q with N=C2xC3:C8 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xC3:C8).1C10 = C5xC6.Q16φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).1C10480,126
(C2xC3:C8).2C10 = C5xC12.Q8φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).2C10480,127
(C2xC3:C8).3C10 = C5xC6.SD16φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).3C10480,129
(C2xC3:C8).4C10 = C5xC12.53D4φ: C10/C5C2 ⊆ Out C2xC3:C82404(C2xC3:C8).4C10480,141
(C2xC3:C8).5C10 = C5xQ8:2Dic3φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).5C10480,154
(C2xC3:C8).6C10 = C10xC3:Q16φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).6C10480,822
(C2xC3:C8).7C10 = C5xC42.S3φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).7C10480,122
(C2xC3:C8).8C10 = C5xC12:C8φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).8C10480,123
(C2xC3:C8).9C10 = C5xDic3:C8φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).9C10480,133
(C2xC3:C8).10C10 = C5xC24:C4φ: C10/C5C2 ⊆ Out C2xC3:C8480(C2xC3:C8).10C10480,134
(C2xC3:C8).11C10 = C20xC3:C8φ: trivial image480(C2xC3:C8).11C10480,121
(C2xC3:C8).12C10 = Dic3xC40φ: trivial image480(C2xC3:C8).12C10480,132

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