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Extensions 1→N→G→Q→1 with N=Dic5:C8 and Q=C2

Direct product G=NxQ with N=Dic5:C8 and Q=C2
dρLabelID
C2xDic5:C8320C2xDic5:C8320,1090

Semidirect products G=N:Q with N=Dic5:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:C8:1C2 = Dic5.SD16φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:1C2320,263
Dic5:C8:2C2 = D10:2M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:2C2320,1042
Dic5:C8:3C2 = C5:C8:7D4φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:3C2320,1111
Dic5:C8:4C2 = C42.14F5φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:4C2320,1020
Dic5:C8:5C2 = C42.7F5φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:5C2320,1022
Dic5:C8:6C2 = Dic5.13M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:6C2320,1095
Dic5:C8:7C2 = C20:8M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:7C2320,1096
Dic5:C8:8C2 = C20:C8:C2φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:8C2320,1034
Dic5:C8:9C2 = C23.(C2xF5)φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:9C2320,1035
Dic5:C8:10C2 = C4:C4.7F5φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:10C2320,1044
Dic5:C8:11C2 = C4:C4.9F5φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:11C2320,1046
Dic5:C8:12C2 = C5:C8:8D4φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:12C2320,1030
Dic5:C8:13C2 = Dic5:M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:C8160Dic5:C8:13C2320,1033
Dic5:C8:14C2 = C42.6F5φ: trivial image160Dic5:C8:14C2320,1016
Dic5:C8:15C2 = C42.11F5φ: trivial image160Dic5:C8:15C2320,1017
Dic5:C8:16C2 = C20.34M4(2)φ: trivial image160Dic5:C8:16C2320,1092

Non-split extensions G=N.Q with N=Dic5:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:C8.1C2 = Dic5.D8φ: C2/C1 → C2 ⊆ Out Dic5:C8320Dic5:C8.1C2320,211
Dic5:C8.2C2 = Dic5.Q16φ: C2/C1 → C2 ⊆ Out Dic5:C8320Dic5:C8.2C2320,269
Dic5:C8.3C2 = C20.6M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:C8320Dic5:C8.3C2320,1126
Dic5:C8.4C2 = Dic10:C8φ: C2/C1 → C2 ⊆ Out Dic5:C8320Dic5:C8.4C2320,1041
Dic5:C8.5C2 = Dic5.M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:C8320Dic5:C8.5C2320,1045

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