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Extensions 1→N→G→Q→1 with N=C10×C3⋊C8 and Q=C2

Direct product G=N×Q with N=C10×C3⋊C8 and Q=C2
dρLabelID
C2×C10×C3⋊C8480C2xC10xC3:C8480,799

Semidirect products G=N:Q with N=C10×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C3⋊C8)⋊1C2 = D20.3Dic3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8):1C2480,359
(C10×C3⋊C8)⋊2C2 = D60.4C4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8):2C2480,367
(C10×C3⋊C8)⋊3C2 = D20.31D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8):3C2480,387
(C10×C3⋊C8)⋊4C2 = C6.D40φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):4C2480,41
(C10×C3⋊C8)⋊5C2 = D60⋊12C4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):5C2480,44
(C10×C3⋊C8)⋊6C2 = C2×C3⋊D40φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):6C2480,376
(C10×C3⋊C8)⋊7C2 = C2×C6.D20φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):7C2480,386
(C10×C3⋊C8)⋊8C2 = C2×C15⋊SD16φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):8C2480,390
(C10×C3⋊C8)⋊9C2 = C60.93D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):9C2480,31
(C10×C3⋊C8)⋊10C2 = D30⋊4C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):10C2480,33
(C10×C3⋊C8)⋊11C2 = C2×D5×C3⋊C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):11C2480,357
(C10×C3⋊C8)⋊12C2 = C2×D15⋊2C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):12C2480,365
(C10×C3⋊C8)⋊13C2 = C2×C20.32D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):13C2480,369
(C10×C3⋊C8)⋊14C2 = C2×D30.5C4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):14C2480,371
(C10×C3⋊C8)⋊15C2 = C5×C6.D8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):15C2480,128
(C10×C3⋊C8)⋊16C2 = C5×D4⋊Dic3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):16C2480,151
(C10×C3⋊C8)⋊17C2 = C5×D12.C4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8):17C2480,786
(C10×C3⋊C8)⋊18C2 = C10×D4⋊S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):18C2480,810
(C10×C3⋊C8)⋊19C2 = C10×D4.S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):19C2480,812
(C10×C3⋊C8)⋊20C2 = C10×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):20C2480,820
(C10×C3⋊C8)⋊21C2 = C5×D4.Dic3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8):21C2480,827
(C10×C3⋊C8)⋊22C2 = C5×Q8.13D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8):22C2480,829
(C10×C3⋊C8)⋊23C2 = C5×D6⋊C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):23C2480,139
(C10×C3⋊C8)⋊24C2 = C5×C12.55D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):24C2480,149
(C10×C3⋊C8)⋊25C2 = C10×C8⋊S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):25C2480,779
(C10×C3⋊C8)⋊26C2 = C10×C4.Dic3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8240(C10xC3:C8):26C2480,800
(C10×C3⋊C8)⋊27C2 = S3×C2×C40φ: trivial image240(C10xC3:C8):27C2480,778

Non-split extensions G=N.Q with N=C10×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C3⋊C8).1C2 = C12.59D20φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8).1C2480,69
(C10×C3⋊C8).2C2 = C6.Dic20φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).2C2480,47
(C10×C3⋊C8).3C2 = Dic30⋊12C4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).3C2480,50
(C10×C3⋊C8).4C2 = C60.Q8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).4C2480,63
(C10×C3⋊C8).5C2 = C60.5Q8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).5C2480,66
(C10×C3⋊C8).6C2 = C2×C3⋊Dic20φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).6C2480,395
(C10×C3⋊C8).7C2 = Dic5×C3⋊C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).7C2480,25
(C10×C3⋊C8).8C2 = Dic15⋊4C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).8C2480,27
(C10×C3⋊C8).9C2 = C30.21C42φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).9C2480,28
(C10×C3⋊C8).10C2 = C30.23C42φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).10C2480,30
(C10×C3⋊C8).11C2 = C60.13Q8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).11C2480,58
(C10×C3⋊C8).12C2 = C60.14Q8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).12C2480,59
(C10×C3⋊C8).13C2 = C5×C6.Q16φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).13C2480,126
(C10×C3⋊C8).14C2 = C5×C12.Q8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).14C2480,127
(C10×C3⋊C8).15C2 = C5×C6.SD16φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).15C2480,129
(C10×C3⋊C8).16C2 = C5×C12.53D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C82404(C10xC3:C8).16C2480,141
(C10×C3⋊C8).17C2 = C5×Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).17C2480,154
(C10×C3⋊C8).18C2 = C10×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).18C2480,822
(C10×C3⋊C8).19C2 = C5×C42.S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).19C2480,122
(C10×C3⋊C8).20C2 = C5×C12⋊C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).20C2480,123
(C10×C3⋊C8).21C2 = C5×Dic3⋊C8φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).21C2480,133
(C10×C3⋊C8).22C2 = C5×C24⋊C4φ: C2/C1 → C2 ⊆ Out C10×C3⋊C8480(C10xC3:C8).22C2480,134
(C10×C3⋊C8).23C2 = C20×C3⋊C8φ: trivial image480(C10xC3:C8).23C2480,121
(C10×C3⋊C8).24C2 = Dic3×C40φ: trivial image480(C10xC3:C8).24C2480,132

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