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Extensions 1→N→G→Q→1 with N=C5×D4 and Q=D6

Direct product G=N×Q with N=C5×D4 and Q=D6
dρLabelID
S3×D4×C10120S3xD4xC10480,1154

Semidirect products G=N:Q with N=C5×D4 and Q=D6
extensionφ:Q→Out NdρLabelID
(C5×D4)⋊1D6 = D5×D4⋊S3φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4):1D6480,553
(C5×D4)⋊2D6 = Dic10⋊3D6φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4):2D6480,554
(C5×D4)⋊3D6 = D15⋊D8φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4):3D6480,557
(C5×D4)⋊4D6 = D30.8D4φ: D6/C3 → C22 ⊆ Out C5×D41208-(C5xD4):4D6480,558
(C5×D4)⋊5D6 = D8×D15φ: D6/C3 → C22 ⊆ Out C5×D41204+(C5xD4):5D6480,875
(C5×D4)⋊6D6 = D8⋊D15φ: D6/C3 → C22 ⊆ Out C5×D41204(C5xD4):6D6480,876
(C5×D4)⋊7D6 = S3×D4⋊D5φ: D6/S3 → C2 ⊆ Out C5×D41208+(C5xD4):7D6480,555
(C5×D4)⋊8D6 = D60.C22φ: D6/S3 → C2 ⊆ Out C5×D41208+(C5xD4):8D6480,556
(C5×D4)⋊9D6 = S3×D4×D5φ: D6/S3 → C2 ⊆ Out C5×D4608+(C5xD4):9D6480,1097
(C5×D4)⋊10D6 = D5×D4⋊2S3φ: D6/S3 → C2 ⊆ Out C5×D41208-(C5xD4):10D6480,1098
(C5×D4)⋊11D6 = S3×D4⋊2D5φ: D6/S3 → C2 ⊆ Out C5×D41208-(C5xD4):11D6480,1099
(C5×D4)⋊12D6 = D30.C23φ: D6/S3 → C2 ⊆ Out C5×D41208+(C5xD4):12D6480,1100
(C5×D4)⋊13D6 = D20⋊13D6φ: D6/S3 → C2 ⊆ Out C5×D41208-(C5xD4):13D6480,1101
(C5×D4)⋊14D6 = D20⋊14D6φ: D6/S3 → C2 ⊆ Out C5×D41208+(C5xD4):14D6480,1102
(C5×D4)⋊15D6 = D12⋊14D10φ: D6/S3 → C2 ⊆ Out C5×D41208+(C5xD4):15D6480,1103
(C5×D4)⋊16D6 = C5×S3×D8φ: D6/S3 → C2 ⊆ Out C5×D41204(C5xD4):16D6480,789
(C5×D4)⋊17D6 = C5×D8⋊S3φ: D6/S3 → C2 ⊆ Out C5×D41204(C5xD4):17D6480,790
(C5×D4)⋊18D6 = C2×D4⋊D15φ: D6/C6 → C2 ⊆ Out C5×D4240(C5xD4):18D6480,896
(C5×D4)⋊19D6 = D4⋊D30φ: D6/C6 → C2 ⊆ Out C5×D41204+(C5xD4):19D6480,914
(C5×D4)⋊20D6 = C2×D4×D15φ: D6/C6 → C2 ⊆ Out C5×D4120(C5xD4):20D6480,1169
(C5×D4)⋊21D6 = C2×D4⋊2D15φ: D6/C6 → C2 ⊆ Out C5×D4240(C5xD4):21D6480,1170
(C5×D4)⋊22D6 = D4⋊6D30φ: D6/C6 → C2 ⊆ Out C5×D41204(C5xD4):22D6480,1171
(C5×D4)⋊23D6 = C4○D4×D15φ: D6/C6 → C2 ⊆ Out C5×D41204(C5xD4):23D6480,1175
(C5×D4)⋊24D6 = D4⋊8D30φ: D6/C6 → C2 ⊆ Out C5×D41204+(C5xD4):24D6480,1176
(C5×D4)⋊25D6 = C10×D4⋊S3φ: D6/C6 → C2 ⊆ Out C5×D4240(C5xD4):25D6480,810
(C5×D4)⋊26D6 = C5×D4⋊D6φ: D6/C6 → C2 ⊆ Out C5×D41204(C5xD4):26D6480,828
(C5×D4)⋊27D6 = C10×D4⋊2S3φ: trivial image240(C5xD4):27D6480,1155
(C5×D4)⋊28D6 = C5×D4⋊6D6φ: trivial image1204(C5xD4):28D6480,1156
(C5×D4)⋊29D6 = C5×S3×C4○D4φ: trivial image1204(C5xD4):29D6480,1160
(C5×D4)⋊30D6 = C5×D4○D12φ: trivial image1204(C5xD4):30D6480,1161

Non-split extensions G=N.Q with N=C5×D4 and Q=D6
extensionφ:Q→Out NdρLabelID
(C5×D4).1D6 = D5×D4.S3φ: D6/C3 → C22 ⊆ Out C5×D41208-(C5xD4).1D6480,559
(C5×D4).2D6 = C60.8C23φ: D6/C3 → C22 ⊆ Out C5×D42408-(C5xD4).2D6480,560
(C5×D4).3D6 = Dic10⋊D6φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4).3D6480,563
(C5×D4).4D6 = D30.9D4φ: D6/C3 → C22 ⊆ Out C5×D42408-(C5xD4).4D6480,564
(C5×D4).5D6 = D12⋊10D10φ: D6/C3 → C22 ⊆ Out C5×D41208-(C5xD4).5D6480,565
(C5×D4).6D6 = D12.24D10φ: D6/C3 → C22 ⊆ Out C5×D42408-(C5xD4).6D6480,566
(C5×D4).7D6 = D20.9D6φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4).7D6480,567
(C5×D4).8D6 = C60.16C23φ: D6/C3 → C22 ⊆ Out C5×D42408+(C5xD4).8D6480,568
(C5×D4).9D6 = D20.10D6φ: D6/C3 → C22 ⊆ Out C5×D42408-(C5xD4).9D6480,573
(C5×D4).10D6 = Dic6⋊D10φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4).10D6480,574
(C5×D4).11D6 = D30.11D4φ: D6/C3 → C22 ⊆ Out C5×D42408-(C5xD4).11D6480,575
(C5×D4).12D6 = D12⋊5D10φ: D6/C3 → C22 ⊆ Out C5×D41208+(C5xD4).12D6480,576
(C5×D4).13D6 = D8⋊3D15φ: D6/C3 → C22 ⊆ Out C5×D42404-(C5xD4).13D6480,877
(C5×D4).14D6 = SD16×D15φ: D6/C3 → C22 ⊆ Out C5×D41204(C5xD4).14D6480,878
(C5×D4).15D6 = Q8⋊3D30φ: D6/C3 → C22 ⊆ Out C5×D41204+(C5xD4).15D6480,879
(C5×D4).16D6 = SD16⋊D15φ: D6/C3 → C22 ⊆ Out C5×D42404-(C5xD4).16D6480,880
(C5×D4).17D6 = D4.5D30φ: D6/C3 → C22 ⊆ Out C5×D42404(C5xD4).17D6480,881
(C5×D4).18D6 = S3×D4.D5φ: D6/S3 → C2 ⊆ Out C5×D41208-(C5xD4).18D6480,561
(C5×D4).19D6 = C60.10C23φ: D6/S3 → C2 ⊆ Out C5×D42408-(C5xD4).19D6480,562
(C5×D4).20D6 = D20.24D6φ: D6/S3 → C2 ⊆ Out C5×D42408-(C5xD4).20D6480,569
(C5×D4).21D6 = D20⋊10D6φ: D6/S3 → C2 ⊆ Out C5×D41208-(C5xD4).21D6480,570
(C5×D4).22D6 = C60.19C23φ: D6/S3 → C2 ⊆ Out C5×D42408+(C5xD4).22D6480,571
(C5×D4).23D6 = D12.9D10φ: D6/S3 → C2 ⊆ Out C5×D41208+(C5xD4).23D6480,572
(C5×D4).24D6 = C15⋊2- 1+4φ: D6/S3 → C2 ⊆ Out C5×D42408-(C5xD4).24D6480,1096
(C5×D4).25D6 = C5×D8⋊3S3φ: D6/S3 → C2 ⊆ Out C5×D42404(C5xD4).25D6480,791
(C5×D4).26D6 = C5×S3×SD16φ: D6/S3 → C2 ⊆ Out C5×D41204(C5xD4).26D6480,792
(C5×D4).27D6 = C5×Q8⋊3D6φ: D6/S3 → C2 ⊆ Out C5×D41204(C5xD4).27D6480,793
(C5×D4).28D6 = C5×D4.D6φ: D6/S3 → C2 ⊆ Out C5×D42404(C5xD4).28D6480,794
(C5×D4).29D6 = C5×Q8.7D6φ: D6/S3 → C2 ⊆ Out C5×D42404(C5xD4).29D6480,795
(C5×D4).30D6 = D4.D30φ: D6/C6 → C2 ⊆ Out C5×D41204(C5xD4).30D6480,897
(C5×D4).31D6 = C2×D4.D15φ: D6/C6 → C2 ⊆ Out C5×D4240(C5xD4).31D6480,898
(C5×D4).32D6 = D4.8D30φ: D6/C6 → C2 ⊆ Out C5×D42404(C5xD4).32D6480,915
(C5×D4).33D6 = D4.9D30φ: D6/C6 → C2 ⊆ Out C5×D42404-(C5xD4).33D6480,916
(C5×D4).34D6 = D4.10D30φ: D6/C6 → C2 ⊆ Out C5×D42404-(C5xD4).34D6480,1177
(C5×D4).35D6 = C5×D12⋊6C22φ: D6/C6 → C2 ⊆ Out C5×D41204(C5xD4).35D6480,811
(C5×D4).36D6 = C10×D4.S3φ: D6/C6 → C2 ⊆ Out C5×D4240(C5xD4).36D6480,812
(C5×D4).37D6 = C5×Q8.13D6φ: D6/C6 → C2 ⊆ Out C5×D42404(C5xD4).37D6480,829
(C5×D4).38D6 = C5×Q8.14D6φ: D6/C6 → C2 ⊆ Out C5×D42404(C5xD4).38D6480,830
(C5×D4).39D6 = C5×Q8○D12φ: trivial image2404(C5xD4).39D6480,1162

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