Extensions 1→N→G→Q→1 with N=D10 and Q=Dic5

Direct product G=NxQ with N=D10 and Q=Dic5
dρLabelID
C2xD5xDic580C2xD5xDic5400,172

Semidirect products G=N:Q with N=D10 and Q=Dic5
extensionφ:Q→Out NdρLabelID
D10:1Dic5 = D10:Dic5φ: Dic5/C10C2 ⊆ Out D1080D10:1Dic5400,72
D10:2Dic5 = D10.D10φ: Dic5/C10C2 ⊆ Out D10404D10:2Dic5400,148
D10:3Dic5 = C22xD5.D5φ: Dic5/C10C2 ⊆ Out D1080D10:3Dic5400,215

Non-split extensions G=N.Q with N=D10 and Q=Dic5
extensionφ:Q→Out NdρLabelID
D10.1Dic5 = C20.30D10φ: Dic5/C10C2 ⊆ Out D10804D10.1Dic5400,62
D10.2Dic5 = C20.14F5φ: Dic5/C10C2 ⊆ Out D10804D10.2Dic5400,142
D10.3Dic5 = C20.12F5φ: Dic5/C10C2 ⊆ Out D10804D10.3Dic5400,143
D10.4Dic5 = D5xC5:2C8φ: trivial image804D10.4Dic5400,60

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