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Extensions 1→N→G→Q→1 with N=C5×D4 and Q=C2×C6

Direct product G=N×Q with N=C5×D4 and Q=C2×C6
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C5×D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C5×D4)⋊1(C2×C6) = C3×D5×D8φ: C2×C6/C3 → C22 ⊆ Out C5×D41204(C5xD4):1(C2xC6)480,703
(C5×D4)⋊2(C2×C6) = C3×D8⋊D5φ: C2×C6/C3 → C22 ⊆ Out C5×D41204(C5xD4):2(C2xC6)480,704
(C5×D4)⋊3(C2×C6) = C6×D4⋊D5φ: C2×C6/C6 → C2 ⊆ Out C5×D4240(C5xD4):3(C2xC6)480,724
(C5×D4)⋊4(C2×C6) = C3×D4⋊D10φ: C2×C6/C6 → C2 ⊆ Out C5×D41204(C5xD4):4(C2xC6)480,742
(C5×D4)⋊5(C2×C6) = C6×D4×D5φ: C2×C6/C6 → C2 ⊆ Out C5×D4120(C5xD4):5(C2xC6)480,1139
(C5×D4)⋊6(C2×C6) = C6×D4⋊2D5φ: C2×C6/C6 → C2 ⊆ Out C5×D4240(C5xD4):6(C2xC6)480,1140
(C5×D4)⋊7(C2×C6) = C3×D4⋊6D10φ: C2×C6/C6 → C2 ⊆ Out C5×D41204(C5xD4):7(C2xC6)480,1141
(C5×D4)⋊8(C2×C6) = C3×D5×C4○D4φ: C2×C6/C6 → C2 ⊆ Out C5×D41204(C5xD4):8(C2xC6)480,1145
(C5×D4)⋊9(C2×C6) = C3×D4⋊8D10φ: C2×C6/C6 → C2 ⊆ Out C5×D41204(C5xD4):9(C2xC6)480,1146
(C5×D4)⋊10(C2×C6) = D8×C30φ: C2×C6/C6 → C2 ⊆ Out C5×D4240(C5xD4):10(C2xC6)480,937
(C5×D4)⋊11(C2×C6) = C15×C8⋊C22φ: C2×C6/C6 → C2 ⊆ Out C5×D41204(C5xD4):11(C2xC6)480,941
(C5×D4)⋊12(C2×C6) = C4○D4×C30φ: trivial image240(C5xD4):12(C2xC6)480,1183
(C5×D4)⋊13(C2×C6) = C15×2+ 1+4φ: trivial image1204(C5xD4):13(C2xC6)480,1184

Non-split extensions G=N.Q with N=C5×D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C5×D4).1(C2×C6) = C3×D8⋊3D5φ: C2×C6/C3 → C22 ⊆ Out C5×D42404(C5xD4).1(C2xC6)480,705
(C5×D4).2(C2×C6) = C3×D5×SD16φ: C2×C6/C3 → C22 ⊆ Out C5×D41204(C5xD4).2(C2xC6)480,706
(C5×D4).3(C2×C6) = C3×D40⋊C2φ: C2×C6/C3 → C22 ⊆ Out C5×D41204(C5xD4).3(C2xC6)480,707
(C5×D4).4(C2×C6) = C3×SD16⋊D5φ: C2×C6/C3 → C22 ⊆ Out C5×D42404(C5xD4).4(C2xC6)480,708
(C5×D4).5(C2×C6) = C3×SD16⋊3D5φ: C2×C6/C3 → C22 ⊆ Out C5×D42404(C5xD4).5(C2xC6)480,709
(C5×D4).6(C2×C6) = C3×D4.D10φ: C2×C6/C6 → C2 ⊆ Out C5×D41204(C5xD4).6(C2xC6)480,725
(C5×D4).7(C2×C6) = C6×D4.D5φ: C2×C6/C6 → C2 ⊆ Out C5×D4240(C5xD4).7(C2xC6)480,726
(C5×D4).8(C2×C6) = C3×D4.8D10φ: C2×C6/C6 → C2 ⊆ Out C5×D42404(C5xD4).8(C2xC6)480,743
(C5×D4).9(C2×C6) = C3×D4.9D10φ: C2×C6/C6 → C2 ⊆ Out C5×D42404(C5xD4).9(C2xC6)480,744
(C5×D4).10(C2×C6) = C3×D4.10D10φ: C2×C6/C6 → C2 ⊆ Out C5×D42404(C5xD4).10(C2xC6)480,1147
(C5×D4).11(C2×C6) = SD16×C30φ: C2×C6/C6 → C2 ⊆ Out C5×D4240(C5xD4).11(C2xC6)480,938
(C5×D4).12(C2×C6) = C15×C4○D8φ: C2×C6/C6 → C2 ⊆ Out C5×D42402(C5xD4).12(C2xC6)480,940
(C5×D4).13(C2×C6) = C15×C8.C22φ: C2×C6/C6 → C2 ⊆ Out C5×D42404(C5xD4).13(C2xC6)480,942
(C5×D4).14(C2×C6) = C15×2- 1+4φ: trivial image2404(C5xD4).14(C2xC6)480,1185

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