Extensions 1→N→G→Q→1 with N=D10 and Q=C2xC10

Direct product G=NxQ with N=D10 and Q=C2xC10
dρLabelID
D5xC22xC1080D5xC2^2xC10400,219

Semidirect products G=N:Q with N=D10 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
D10:1(C2xC10) = C10xD20φ: C2xC10/C10C2 ⊆ Out D1080D10:1(C2xC10)400,183
D10:2(C2xC10) = C5xD4xD5φ: C2xC10/C10C2 ⊆ Out D10404D10:2(C2xC10)400,185
D10:3(C2xC10) = C10xC5:D4φ: C2xC10/C10C2 ⊆ Out D1040D10:3(C2xC10)400,190

Non-split extensions G=N.Q with N=D10 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
D10.1(C2xC10) = C5xC4oD20φ: C2xC10/C10C2 ⊆ Out D10402D10.1(C2xC10)400,184
D10.2(C2xC10) = C5xD4:2D5φ: C2xC10/C10C2 ⊆ Out D10404D10.2(C2xC10)400,186
D10.3(C2xC10) = C5xQ8:2D5φ: C2xC10/C10C2 ⊆ Out D10804D10.3(C2xC10)400,188
D10.4(C2xC10) = C20xF5φ: C2xC10/C10C2 ⊆ Out D10804D10.4(C2xC10)400,137
D10.5(C2xC10) = C5xC4:F5φ: C2xC10/C10C2 ⊆ Out D10804D10.5(C2xC10)400,138
D10.6(C2xC10) = C5xC22:F5φ: C2xC10/C10C2 ⊆ Out D10404D10.6(C2xC10)400,141
D10.7(C2xC10) = F5xC2xC10φ: C2xC10/C10C2 ⊆ Out D1080D10.7(C2xC10)400,214
D10.8(C2xC10) = D5xC2xC20φ: trivial image80D10.8(C2xC10)400,182
D10.9(C2xC10) = C5xQ8xD5φ: trivial image804D10.9(C2xC10)400,187

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