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Extensions 1→N→G→Q→1 with N=C3×D4 and Q=D10

Direct product G=N×Q with N=C3×D4 and Q=D10
dρLabelID
C6×D4×D5120C6xD4xD5480,1139

Semidirect products G=N:Q with N=C3×D4 and Q=D10
extensionφ:Q→Out NdρLabelID
(C3×D4)⋊1D10 = S3×D4⋊D5φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4):1D10480,555
(C3×D4)⋊2D10 = D60.C22φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4):2D10480,556
(C3×D4)⋊3D10 = D15⋊D8φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4):3D10480,557
(C3×D4)⋊4D10 = D30.8D4φ: D10/C5 → C22 ⊆ Out C3×D41208-(C3xD4):4D10480,558
(C3×D4)⋊5D10 = D8×D15φ: D10/C5 → C22 ⊆ Out C3×D41204+(C3xD4):5D10480,875
(C3×D4)⋊6D10 = D8⋊D15φ: D10/C5 → C22 ⊆ Out C3×D41204(C3xD4):6D10480,876
(C3×D4)⋊7D10 = D5×D4⋊S3φ: D10/D5 → C2 ⊆ Out C3×D41208+(C3xD4):7D10480,553
(C3×D4)⋊8D10 = Dic10⋊3D6φ: D10/D5 → C2 ⊆ Out C3×D41208+(C3xD4):8D10480,554
(C3×D4)⋊9D10 = S3×D4×D5φ: D10/D5 → C2 ⊆ Out C3×D4608+(C3xD4):9D10480,1097
(C3×D4)⋊10D10 = D5×D4⋊2S3φ: D10/D5 → C2 ⊆ Out C3×D41208-(C3xD4):10D10480,1098
(C3×D4)⋊11D10 = S3×D4⋊2D5φ: D10/D5 → C2 ⊆ Out C3×D41208-(C3xD4):11D10480,1099
(C3×D4)⋊12D10 = D30.C23φ: D10/D5 → C2 ⊆ Out C3×D41208+(C3xD4):12D10480,1100
(C3×D4)⋊13D10 = D20⋊13D6φ: D10/D5 → C2 ⊆ Out C3×D41208-(C3xD4):13D10480,1101
(C3×D4)⋊14D10 = D20⋊14D6φ: D10/D5 → C2 ⊆ Out C3×D41208+(C3xD4):14D10480,1102
(C3×D4)⋊15D10 = D12⋊14D10φ: D10/D5 → C2 ⊆ Out C3×D41208+(C3xD4):15D10480,1103
(C3×D4)⋊16D10 = C3×D5×D8φ: D10/D5 → C2 ⊆ Out C3×D41204(C3xD4):16D10480,703
(C3×D4)⋊17D10 = C3×D8⋊D5φ: D10/D5 → C2 ⊆ Out C3×D41204(C3xD4):17D10480,704
(C3×D4)⋊18D10 = C2×D4⋊D15φ: D10/C10 → C2 ⊆ Out C3×D4240(C3xD4):18D10480,896
(C3×D4)⋊19D10 = D4⋊D30φ: D10/C10 → C2 ⊆ Out C3×D41204+(C3xD4):19D10480,914
(C3×D4)⋊20D10 = C2×D4×D15φ: D10/C10 → C2 ⊆ Out C3×D4120(C3xD4):20D10480,1169
(C3×D4)⋊21D10 = C2×D4⋊2D15φ: D10/C10 → C2 ⊆ Out C3×D4240(C3xD4):21D10480,1170
(C3×D4)⋊22D10 = D4⋊6D30φ: D10/C10 → C2 ⊆ Out C3×D41204(C3xD4):22D10480,1171
(C3×D4)⋊23D10 = C4○D4×D15φ: D10/C10 → C2 ⊆ Out C3×D41204(C3xD4):23D10480,1175
(C3×D4)⋊24D10 = D4⋊8D30φ: D10/C10 → C2 ⊆ Out C3×D41204+(C3xD4):24D10480,1176
(C3×D4)⋊25D10 = C6×D4⋊D5φ: D10/C10 → C2 ⊆ Out C3×D4240(C3xD4):25D10480,724
(C3×D4)⋊26D10 = C3×D4⋊D10φ: D10/C10 → C2 ⊆ Out C3×D41204(C3xD4):26D10480,742
(C3×D4)⋊27D10 = C6×D4⋊2D5φ: trivial image240(C3xD4):27D10480,1140
(C3×D4)⋊28D10 = C3×D4⋊6D10φ: trivial image1204(C3xD4):28D10480,1141
(C3×D4)⋊29D10 = C3×D5×C4○D4φ: trivial image1204(C3xD4):29D10480,1145
(C3×D4)⋊30D10 = C3×D4⋊8D10φ: trivial image1204(C3xD4):30D10480,1146

Non-split extensions G=N.Q with N=C3×D4 and Q=D10
extensionφ:Q→Out NdρLabelID
(C3×D4).1D10 = S3×D4.D5φ: D10/C5 → C22 ⊆ Out C3×D41208-(C3xD4).1D10480,561
(C3×D4).2D10 = C60.10C23φ: D10/C5 → C22 ⊆ Out C3×D42408-(C3xD4).2D10480,562
(C3×D4).3D10 = Dic10⋊D6φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4).3D10480,563
(C3×D4).4D10 = D30.9D4φ: D10/C5 → C22 ⊆ Out C3×D42408-(C3xD4).4D10480,564
(C3×D4).5D10 = D20.24D6φ: D10/C5 → C22 ⊆ Out C3×D42408-(C3xD4).5D10480,569
(C3×D4).6D10 = D20⋊10D6φ: D10/C5 → C22 ⊆ Out C3×D41208-(C3xD4).6D10480,570
(C3×D4).7D10 = C60.19C23φ: D10/C5 → C22 ⊆ Out C3×D42408+(C3xD4).7D10480,571
(C3×D4).8D10 = D12.9D10φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4).8D10480,572
(C3×D4).9D10 = D20.10D6φ: D10/C5 → C22 ⊆ Out C3×D42408-(C3xD4).9D10480,573
(C3×D4).10D10 = Dic6⋊D10φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4).10D10480,574
(C3×D4).11D10 = D30.11D4φ: D10/C5 → C22 ⊆ Out C3×D42408-(C3xD4).11D10480,575
(C3×D4).12D10 = D12⋊5D10φ: D10/C5 → C22 ⊆ Out C3×D41208+(C3xD4).12D10480,576
(C3×D4).13D10 = D8⋊3D15φ: D10/C5 → C22 ⊆ Out C3×D42404-(C3xD4).13D10480,877
(C3×D4).14D10 = SD16×D15φ: D10/C5 → C22 ⊆ Out C3×D41204(C3xD4).14D10480,878
(C3×D4).15D10 = Q8⋊3D30φ: D10/C5 → C22 ⊆ Out C3×D41204+(C3xD4).15D10480,879
(C3×D4).16D10 = SD16⋊D15φ: D10/C5 → C22 ⊆ Out C3×D42404-(C3xD4).16D10480,880
(C3×D4).17D10 = D4.5D30φ: D10/C5 → C22 ⊆ Out C3×D42404(C3xD4).17D10480,881
(C3×D4).18D10 = D5×D4.S3φ: D10/D5 → C2 ⊆ Out C3×D41208-(C3xD4).18D10480,559
(C3×D4).19D10 = C60.8C23φ: D10/D5 → C2 ⊆ Out C3×D42408-(C3xD4).19D10480,560
(C3×D4).20D10 = D12⋊10D10φ: D10/D5 → C2 ⊆ Out C3×D41208-(C3xD4).20D10480,565
(C3×D4).21D10 = D12.24D10φ: D10/D5 → C2 ⊆ Out C3×D42408-(C3xD4).21D10480,566
(C3×D4).22D10 = D20.9D6φ: D10/D5 → C2 ⊆ Out C3×D41208+(C3xD4).22D10480,567
(C3×D4).23D10 = C60.16C23φ: D10/D5 → C2 ⊆ Out C3×D42408+(C3xD4).23D10480,568
(C3×D4).24D10 = C15⋊2- 1+4φ: D10/D5 → C2 ⊆ Out C3×D42408-(C3xD4).24D10480,1096
(C3×D4).25D10 = C3×D8⋊3D5φ: D10/D5 → C2 ⊆ Out C3×D42404(C3xD4).25D10480,705
(C3×D4).26D10 = C3×D5×SD16φ: D10/D5 → C2 ⊆ Out C3×D41204(C3xD4).26D10480,706
(C3×D4).27D10 = C3×D40⋊C2φ: D10/D5 → C2 ⊆ Out C3×D41204(C3xD4).27D10480,707
(C3×D4).28D10 = C3×SD16⋊D5φ: D10/D5 → C2 ⊆ Out C3×D42404(C3xD4).28D10480,708
(C3×D4).29D10 = C3×SD16⋊3D5φ: D10/D5 → C2 ⊆ Out C3×D42404(C3xD4).29D10480,709
(C3×D4).30D10 = D4.D30φ: D10/C10 → C2 ⊆ Out C3×D41204(C3xD4).30D10480,897
(C3×D4).31D10 = C2×D4.D15φ: D10/C10 → C2 ⊆ Out C3×D4240(C3xD4).31D10480,898
(C3×D4).32D10 = D4.8D30φ: D10/C10 → C2 ⊆ Out C3×D42404(C3xD4).32D10480,915
(C3×D4).33D10 = D4.9D30φ: D10/C10 → C2 ⊆ Out C3×D42404-(C3xD4).33D10480,916
(C3×D4).34D10 = D4.10D30φ: D10/C10 → C2 ⊆ Out C3×D42404-(C3xD4).34D10480,1177
(C3×D4).35D10 = C3×D4.D10φ: D10/C10 → C2 ⊆ Out C3×D41204(C3xD4).35D10480,725
(C3×D4).36D10 = C6×D4.D5φ: D10/C10 → C2 ⊆ Out C3×D4240(C3xD4).36D10480,726
(C3×D4).37D10 = C3×D4.8D10φ: D10/C10 → C2 ⊆ Out C3×D42404(C3xD4).37D10480,743
(C3×D4).38D10 = C3×D4.9D10φ: D10/C10 → C2 ⊆ Out C3×D42404(C3xD4).38D10480,744
(C3×D4).39D10 = C3×D4.10D10φ: trivial image2404(C3xD4).39D10480,1147

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