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Extensions 1→N→G→Q→1 with N=C3xQ8 and Q=D10

Direct product G=NxQ with N=C3xQ8 and Q=D10
dρLabelID
C6xQ8xD5240C6xQ8xD5480,1142

Semidirect products G=N:Q with N=C3xQ8 and Q=D10
extensionφ:Q→Out NdρLabelID
(C3xQ8):1D10 = S3xQ8:D5φ: D10/C5 → C22 ⊆ Out C3xQ81208+(C3xQ8):1D10480,579
(C3xQ8):2D10 = D12:D10φ: D10/C5 → C22 ⊆ Out C3xQ81208+(C3xQ8):2D10480,580
(C3xQ8):3D10 = D15:SD16φ: D10/C5 → C22 ⊆ Out C3xQ81208-(C3xQ8):3D10480,581
(C3xQ8):4D10 = D60:C22φ: D10/C5 → C22 ⊆ Out C3xQ81208+(C3xQ8):4D10480,582
(C3xQ8):5D10 = SD16xD15φ: D10/C5 → C22 ⊆ Out C3xQ81204(C3xQ8):5D10480,878
(C3xQ8):6D10 = Q8:3D30φ: D10/C5 → C22 ⊆ Out C3xQ81204+(C3xQ8):6D10480,879
(C3xQ8):7D10 = D5xQ8:2S3φ: D10/D5 → C2 ⊆ Out C3xQ81208+(C3xQ8):7D10480,577
(C3xQ8):8D10 = D20:D6φ: D10/D5 → C2 ⊆ Out C3xQ81208+(C3xQ8):8D10480,578
(C3xQ8):9D10 = S3xQ8xD5φ: D10/D5 → C2 ⊆ Out C3xQ81208-(C3xQ8):9D10480,1107
(C3xQ8):10D10 = D5xQ8:3S3φ: D10/D5 → C2 ⊆ Out C3xQ81208+(C3xQ8):10D10480,1108
(C3xQ8):11D10 = S3xQ8:2D5φ: D10/D5 → C2 ⊆ Out C3xQ81208+(C3xQ8):11D10480,1109
(C3xQ8):12D10 = D20:16D6φ: D10/D5 → C2 ⊆ Out C3xQ81208-(C3xQ8):12D10480,1110
(C3xQ8):13D10 = D20:17D6φ: D10/D5 → C2 ⊆ Out C3xQ81208+(C3xQ8):13D10480,1111
(C3xQ8):14D10 = C3xD5xSD16φ: D10/D5 → C2 ⊆ Out C3xQ81204(C3xQ8):14D10480,706
(C3xQ8):15D10 = C3xD40:C2φ: D10/D5 → C2 ⊆ Out C3xQ81204(C3xQ8):15D10480,707
(C3xQ8):16D10 = C2xQ8:2D15φ: D10/C10 → C2 ⊆ Out C3xQ8240(C3xQ8):16D10480,906
(C3xQ8):17D10 = D4:D30φ: D10/C10 → C2 ⊆ Out C3xQ81204+(C3xQ8):17D10480,914
(C3xQ8):18D10 = C2xQ8xD15φ: D10/C10 → C2 ⊆ Out C3xQ8240(C3xQ8):18D10480,1172
(C3xQ8):19D10 = C2xQ8:3D15φ: D10/C10 → C2 ⊆ Out C3xQ8240(C3xQ8):19D10480,1173
(C3xQ8):20D10 = C4oD4xD15φ: D10/C10 → C2 ⊆ Out C3xQ81204(C3xQ8):20D10480,1175
(C3xQ8):21D10 = D4:8D30φ: D10/C10 → C2 ⊆ Out C3xQ81204+(C3xQ8):21D10480,1176
(C3xQ8):22D10 = C6xQ8:D5φ: D10/C10 → C2 ⊆ Out C3xQ8240(C3xQ8):22D10480,734
(C3xQ8):23D10 = C3xD4:D10φ: D10/C10 → C2 ⊆ Out C3xQ81204(C3xQ8):23D10480,742
(C3xQ8):24D10 = C6xQ8:2D5φ: trivial image240(C3xQ8):24D10480,1143
(C3xQ8):25D10 = C3xD5xC4oD4φ: trivial image1204(C3xQ8):25D10480,1145
(C3xQ8):26D10 = C3xD4:8D10φ: trivial image1204(C3xQ8):26D10480,1146

Non-split extensions G=N.Q with N=C3xQ8 and Q=D10
extensionφ:Q→Out NdρLabelID
(C3xQ8).1D10 = S3xC5:Q16φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).1D10480,585
(C3xQ8).2D10 = Dic10.26D6φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).2D10480,586
(C3xQ8).3D10 = D15:Q16φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).3D10480,587
(C3xQ8).4D10 = C60.C23φ: D10/C5 → C22 ⊆ Out C3xQ82408+(C3xQ8).4D10480,588
(C3xQ8).5D10 = D20.27D6φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).5D10480,593
(C3xQ8).6D10 = D20.28D6φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).6D10480,594
(C3xQ8).7D10 = Dic10.27D6φ: D10/C5 → C22 ⊆ Out C3xQ82408+(C3xQ8).7D10480,595
(C3xQ8).8D10 = C60.44C23φ: D10/C5 → C22 ⊆ Out C3xQ82408+(C3xQ8).8D10480,596
(C3xQ8).9D10 = D20.16D6φ: D10/C5 → C22 ⊆ Out C3xQ82408+(C3xQ8).9D10480,597
(C3xQ8).10D10 = D20.17D6φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).10D10480,598
(C3xQ8).11D10 = D12.D10φ: D10/C5 → C22 ⊆ Out C3xQ82408+(C3xQ8).11D10480,599
(C3xQ8).12D10 = D30.44D4φ: D10/C5 → C22 ⊆ Out C3xQ82408-(C3xQ8).12D10480,600
(C3xQ8).13D10 = SD16:D15φ: D10/C5 → C22 ⊆ Out C3xQ82404-(C3xQ8).13D10480,880
(C3xQ8).14D10 = D4.5D30φ: D10/C5 → C22 ⊆ Out C3xQ82404(C3xQ8).14D10480,881
(C3xQ8).15D10 = Q16xD15φ: D10/C5 → C22 ⊆ Out C3xQ82404-(C3xQ8).15D10480,882
(C3xQ8).16D10 = Q16:D15φ: D10/C5 → C22 ⊆ Out C3xQ82404(C3xQ8).16D10480,883
(C3xQ8).17D10 = D120:8C2φ: D10/C5 → C22 ⊆ Out C3xQ82404+(C3xQ8).17D10480,884
(C3xQ8).18D10 = D5xC3:Q16φ: D10/D5 → C2 ⊆ Out C3xQ82408-(C3xQ8).18D10480,583
(C3xQ8).19D10 = D20.13D6φ: D10/D5 → C2 ⊆ Out C3xQ82408-(C3xQ8).19D10480,584
(C3xQ8).20D10 = D12.27D10φ: D10/D5 → C2 ⊆ Out C3xQ82408-(C3xQ8).20D10480,589
(C3xQ8).21D10 = D20.14D6φ: D10/D5 → C2 ⊆ Out C3xQ82408-(C3xQ8).21D10480,590
(C3xQ8).22D10 = C60.39C23φ: D10/D5 → C2 ⊆ Out C3xQ82408+(C3xQ8).22D10480,591
(C3xQ8).23D10 = D20.D6φ: D10/D5 → C2 ⊆ Out C3xQ82408+(C3xQ8).23D10480,592
(C3xQ8).24D10 = D20.29D6φ: D10/D5 → C2 ⊆ Out C3xQ82408-(C3xQ8).24D10480,1104
(C3xQ8).25D10 = C30.33C24φ: D10/D5 → C2 ⊆ Out C3xQ82408+(C3xQ8).25D10480,1105
(C3xQ8).26D10 = D12.29D10φ: D10/D5 → C2 ⊆ Out C3xQ82408-(C3xQ8).26D10480,1106
(C3xQ8).27D10 = C3xSD16:D5φ: D10/D5 → C2 ⊆ Out C3xQ82404(C3xQ8).27D10480,708
(C3xQ8).28D10 = C3xSD16:3D5φ: D10/D5 → C2 ⊆ Out C3xQ82404(C3xQ8).28D10480,709
(C3xQ8).29D10 = C3xD5xQ16φ: D10/D5 → C2 ⊆ Out C3xQ82404(C3xQ8).29D10480,710
(C3xQ8).30D10 = C3xQ16:D5φ: D10/D5 → C2 ⊆ Out C3xQ82404(C3xQ8).30D10480,711
(C3xQ8).31D10 = C3xQ8.D10φ: D10/D5 → C2 ⊆ Out C3xQ82404(C3xQ8).31D10480,712
(C3xQ8).32D10 = Q8.11D30φ: D10/C10 → C2 ⊆ Out C3xQ82404(C3xQ8).32D10480,907
(C3xQ8).33D10 = C2xC15:7Q16φ: D10/C10 → C2 ⊆ Out C3xQ8480(C3xQ8).33D10480,908
(C3xQ8).34D10 = D4.8D30φ: D10/C10 → C2 ⊆ Out C3xQ82404(C3xQ8).34D10480,915
(C3xQ8).35D10 = D4.9D30φ: D10/C10 → C2 ⊆ Out C3xQ82404-(C3xQ8).35D10480,916
(C3xQ8).36D10 = Q8.15D30φ: D10/C10 → C2 ⊆ Out C3xQ82404(C3xQ8).36D10480,1174
(C3xQ8).37D10 = D4.10D30φ: D10/C10 → C2 ⊆ Out C3xQ82404-(C3xQ8).37D10480,1177
(C3xQ8).38D10 = C3xC20.C23φ: D10/C10 → C2 ⊆ Out C3xQ82404(C3xQ8).38D10480,735
(C3xQ8).39D10 = C6xC5:Q16φ: D10/C10 → C2 ⊆ Out C3xQ8480(C3xQ8).39D10480,736
(C3xQ8).40D10 = C3xD4.8D10φ: D10/C10 → C2 ⊆ Out C3xQ82404(C3xQ8).40D10480,743
(C3xQ8).41D10 = C3xD4.9D10φ: D10/C10 → C2 ⊆ Out C3xQ82404(C3xQ8).41D10480,744
(C3xQ8).42D10 = C3xQ8.10D10φ: trivial image2404(C3xQ8).42D10480,1144
(C3xQ8).43D10 = C3xD4.10D10φ: trivial image2404(C3xQ8).43D10480,1147

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