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Extensions 1→N→G→Q→1 with N=C20:C8 and Q=C2

Direct product G=NxQ with N=C20:C8 and Q=C2
dρLabelID
C2xC20:C8320C2xC20:C8320,1085

Semidirect products G=N:Q with N=C20:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20:C8:1C2 = D20:C8φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:1C2320,209
C20:C8:2C2 = Dic5.23D8φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:2C2320,262
C20:C8:3C2 = D20:2C8φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:3C2320,1040
C20:C8:4C2 = C20:M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:4C2320,1043
C20:C8:5C2 = D4xC5:C8φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:5C2320,1110
C20:C8:6C2 = C20:2M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:6C2320,1112
C20:C8:7C2 = C20:3M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:7C2320,1019
C20:C8:8C2 = C42.15F5φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:8C2320,1021
C20:C8:9C2 = C5:C8:D4φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:9C2320,1031
C20:C8:10C2 = D10:M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:10C2320,1032
C20:C8:11C2 = C20:C8:C2φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:11C2320,1034
C20:C8:12C2 = C23.(C2xF5)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:12C2320,1035
C20:C8:13C2 = C4:C4.7F5φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:13C2320,1044
C20:C8:14C2 = C4:C4.9F5φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:14C2320,1046
C20:C8:15C2 = C20:8M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:15C2320,1096
C20:C8:16C2 = C20.30M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8160C20:C8:16C2320,1097
C20:C8:17C2 = C42.11F5φ: trivial image160C20:C8:17C2320,1017
C20:C8:18C2 = C42.12F5φ: trivial image160C20:C8:18C2320,1018
C20:C8:19C2 = Dic5.12M4(2)φ: trivial image160C20:C8:19C2320,1086

Non-split extensions G=N.Q with N=C20:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20:C8.1C2 = Dic10:1C8φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.1C2320,210
C20:C8.2C2 = Dic5.12Q16φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.2C2320,268
C20:C8.3C2 = Dic10:C8φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.3C2320,1041
C20:C8.4C2 = C20.M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.4C2320,1047
C20:C8.5C2 = Q8xC5:C8φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.5C2320,1124
C20:C8.6C2 = C20.6M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.6C2320,1126
C20:C8.7C2 = C40:2C8φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.7C2320,219
C20:C8.8C2 = C40:1C8φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.8C2320,220
C20:C8.9C2 = C20.26M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.9C2320,221
C20:C8.10C2 = Dic5.13D8φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.10C2320,222
C20:C8.11C2 = Dic5.M4(2)φ: C2/C1 → C2 ⊆ Out C20:C8320C20:C8.11C2320,1045

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