Extensions 1→N→G→Q→1 with N=C4:C4 and Q=F5

Direct product G=NxQ with N=C4:C4 and Q=F5
dρLabelID
C4:C4xF580C4:C4xF5320,1048

Semidirect products G=N:Q with N=C4:C4 and Q=F5
extensionφ:Q→Out NdρLabelID
C4:C4:1F5 = D10.1D8φ: F5/C5C4 ⊆ Out C4:C480C4:C4:1F5320,206
C4:C4:2F5 = D10.1Q16φ: F5/C5C4 ⊆ Out C4:C480C4:C4:2F5320,207
C4:C4:3F5 = D10.18D8φ: F5/D5C2 ⊆ Out C4:C480C4:C4:3F5320,212
C4:C4:4F5 = C20.C42φ: F5/D5C2 ⊆ Out C4:C480C4:C4:4F5320,213
C4:C4:5F5 = C4:C4:5F5φ: F5/D5C2 ⊆ Out C4:C480C4:C4:5F5320,1049
C4:C4:6F5 = C20:(C4:C4)φ: F5/D5C2 ⊆ Out C4:C480C4:C4:6F5320,1050

Non-split extensions G=N.Q with N=C4:C4 and Q=F5
extensionφ:Q→Out NdρLabelID
C4:C4.1F5 = C10.C4wrC2φ: F5/C5C4 ⊆ Out C4:C4320C4:C4.1F5320,208
C4:C4.2F5 = Dic5.D8φ: F5/C5C4 ⊆ Out C4:C4320C4:C4.2F5320,211
C4:C4.3F5 = D20:C8φ: F5/D5C2 ⊆ Out C4:C4160C4:C4.3F5320,209
C4:C4.4F5 = Dic10:1C8φ: F5/D5C2 ⊆ Out C4:C4320C4:C4.4F5320,210
C4:C4.5F5 = D10:2M4(2)φ: F5/D5C2 ⊆ Out C4:C4160C4:C4.5F5320,1042
C4:C4.6F5 = C20:M4(2)φ: F5/D5C2 ⊆ Out C4:C4160C4:C4.6F5320,1043
C4:C4.7F5 = C4:C4.7F5φ: F5/D5C2 ⊆ Out C4:C4160C4:C4.7F5320,1044
C4:C4.8F5 = Dic5.M4(2)φ: F5/D5C2 ⊆ Out C4:C4320C4:C4.8F5320,1045
C4:C4.9F5 = C4:C4.9F5φ: F5/D5C2 ⊆ Out C4:C4160C4:C4.9F5320,1046
C4:C4.10F5 = C20.M4(2)φ: F5/D5C2 ⊆ Out C4:C4320C4:C4.10F5320,1047
C4:C4.11F5 = D10.C42φ: trivial image160C4:C4.11F5320,1039
C4:C4.12F5 = D20:2C8φ: trivial image160C4:C4.12F5320,1040
C4:C4.13F5 = Dic10:C8φ: trivial image320C4:C4.13F5320,1041

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