Extensions 1→N→G→Q→1 with N=Dic35 and Q=C2

Direct product G=NxQ with N=Dic35 and Q=C2
dρLabelID
C2xDic35280C2xDic35280,27

Semidirect products G=N:Q with N=Dic35 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic35:1C2 = C35:7D4φ: C2/C1C2 ⊆ Out Dic351402Dic35:1C2280,28
Dic35:2C2 = D7xDic5φ: C2/C1C2 ⊆ Out Dic351404-Dic35:2C2280,7
Dic35:3C2 = D5xDic7φ: C2/C1C2 ⊆ Out Dic351404-Dic35:3C2280,8
Dic35:4C2 = C35:D4φ: C2/C1C2 ⊆ Out Dic351404-Dic35:4C2280,10
Dic35:5C2 = C4xD35φ: trivial image1402Dic35:5C2280,25

Non-split extensions G=N.Q with N=Dic35 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic35.1C2 = Dic70φ: C2/C1C2 ⊆ Out Dic352802-Dic35.1C2280,24
Dic35.2C2 = C35:Q8φ: C2/C1C2 ⊆ Out Dic352804-Dic35.2C2280,13

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