Extensions 1→N→G→Q→1 with N=D10 and Q=Q8

Direct product G=NxQ with N=D10 and Q=Q8
dρLabelID
C2xQ8xD580C2xQ8xD5160,220

Semidirect products G=N:Q with N=D10 and Q=Q8
extensionφ:Q→Out NdρLabelID
D10:1Q8 = D10:Q8φ: Q8/C4C2 ⊆ Out D1080D10:1Q8160,117
D10:2Q8 = D10:2Q8φ: Q8/C4C2 ⊆ Out D1080D10:2Q8160,118
D10:3Q8 = D10:3Q8φ: Q8/C4C2 ⊆ Out D1080D10:3Q8160,167

Non-split extensions G=N.Q with N=D10 and Q=Q8
extensionφ:Q→Out NdρLabelID
D10.1Q8 = C40.C4φ: Q8/C4C2 ⊆ Out D10804D10.1Q8160,70
D10.2Q8 = D10.Q8φ: Q8/C4C2 ⊆ Out D10804D10.2Q8160,71
D10.3Q8 = D10.3Q8φ: Q8/C4C2 ⊆ Out D1040D10.3Q8160,81
D10.4Q8 = C2xC4:F5φ: Q8/C4C2 ⊆ Out D1040D10.4Q8160,204
D10.5Q8 = D5xC4:C4φ: trivial image80D10.5Q8160,112

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