Extensions 1→N→G→Q→1 with N=C40:C4 and Q=C2

Direct product G=NxQ with N=C40:C4 and Q=C2
dρLabelID
C2xC40:C480C2xC40:C4320,1057

Semidirect products G=N:Q with N=C40:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40:C4:1C2 = D10.D8φ: C2/C1C2 ⊆ Out C40:C4808-C40:C4:1C2320,241
C40:C4:2C2 = D40:1C4φ: C2/C1C2 ⊆ Out C40:C4808+C40:C4:2C2320,245
C40:C4:3C2 = D40:C4φ: C2/C1C2 ⊆ Out C40:C4408+C40:C4:3C2320,1069
C40:C4:4C2 = SD16xF5φ: C2/C1C2 ⊆ Out C40:C4408C40:C4:4C2320,1072
C40:C4:5C2 = M4(2):1F5φ: C2/C1C2 ⊆ Out C40:C4408C40:C4:5C2320,1065
C40:C4:6C2 = (C2xC8):6F5φ: trivial image804C40:C4:6C2320,1059

Non-split extensions G=N.Q with N=C40:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40:C4.1C2 = Dic20:C4φ: C2/C1C2 ⊆ Out C40:C4808-C40:C4.1C2320,1077
C40:C4.2C2 = C80:4C4φ: C2/C1C2 ⊆ Out C40:C4804C40:C4.2C2320,185
C40:C4.3C2 = C80:5C4φ: C2/C1C2 ⊆ Out C40:C4804C40:C4.3C2320,186

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