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Extensions 1→N→G→Q→1 with N=C4:Dic5 and Q=C2

Direct product G=NxQ with N=C4:Dic5 and Q=C2
dρLabelID
C2xC4:Dic5160C2xC4:Dic5160,146

Semidirect products G=N:Q with N=C4:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:Dic5:1C2 = D20:5C4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:1C2160,28
C4:Dic5:2C2 = Dic5.14D4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:2C2160,99
C4:Dic5:3C2 = C23.D10φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:3C2160,100
C4:Dic5:4C2 = D10.12D4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:4C2160,104
C4:Dic5:5C2 = C22.D20φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:5C2160,107
C4:Dic5:6C2 = D10:2Q8φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:6C2160,118
C4:Dic5:7C2 = C4:C4:D5φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:7C2160,119
C4:Dic5:8C2 = C20.48D4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:8C2160,145
C4:Dic5:9C2 = C20:7D4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:9C2160,151
C4:Dic5:10C2 = D4:Dic5φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:10C2160,39
C4:Dic5:11C2 = D5xC4:C4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:11C2160,112
C4:Dic5:12C2 = C4:C4:7D5φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:12C2160,113
C4:Dic5:13C2 = D4xDic5φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:13C2160,155
C4:Dic5:14C2 = C20:2D4φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:14C2160,159
C4:Dic5:15C2 = D10:3Q8φ: C2/C1 → C2 ⊆ Out C4:Dic580C4:Dic5:15C2160,167
C4:Dic5:16C2 = C4xD20φ: trivial image80C4:Dic5:16C2160,94
C4:Dic5:17C2 = C23.21D10φ: trivial image80C4:Dic5:17C2160,147

Non-split extensions G=N.Q with N=C4:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:Dic5.1C2 = C20.44D4φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.1C2160,23
C4:Dic5.2C2 = C40:6C4φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.2C2160,24
C4:Dic5.3C2 = C40:5C4φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.3C2160,25
C4:Dic5.4C2 = C20:2Q8φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.4C2160,90
C4:Dic5.5C2 = C20.6Q8φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.5C2160,91
C4:Dic5.6C2 = Dic5.Q8φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.6C2160,110
C4:Dic5.7C2 = C4.Dic10φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.7C2160,111
C4:Dic5.8C2 = C10.D8φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.8C2160,14
C4:Dic5.9C2 = C20.Q8φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.9C2160,15
C4:Dic5.10C2 = Q8:Dic5φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.10C2160,42
C4:Dic5.11C2 = C20:Q8φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.11C2160,109
C4:Dic5.12C2 = Q8xDic5φ: C2/C1 → C2 ⊆ Out C4:Dic5160C4:Dic5.12C2160,166
C4:Dic5.13C2 = C4xDic10φ: trivial image160C4:Dic5.13C2160,89

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