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

Direct product G=N×Q with N=C40⋊C2 and Q=C4
dρLabelID
C4×C40⋊C2160C4xC40:C2320,318

Semidirect products G=N:Q with N=C40⋊C2 and Q=C4
extensionφ:Q→Out NdρLabelID
C40⋊C2⋊1C4 = SD16⋊F5φ: C4/C1 → C4 ⊆ Out C40⋊C2408C40:C2:1C4320,1073
C40⋊C2⋊2C4 = SD16⋊2F5φ: C4/C1 → C4 ⊆ Out C40⋊C2808C40:C2:2C4320,1075
C40⋊C2⋊3C4 = SD16×F5φ: C4/C1 → C4 ⊆ Out C40⋊C2408C40:C2:3C4320,1072
C40⋊C2⋊4C4 = SD16⋊3F5φ: C4/C1 → C4 ⊆ Out C40⋊C2808C40:C2:4C4320,1074
C40⋊C2⋊5C4 = C42.16D10φ: C4/C2 → C2 ⊆ Out C40⋊C2160C40:C2:5C4320,337
C40⋊C2⋊6C4 = D40⋊10C4φ: C4/C2 → C2 ⊆ Out C40⋊C2804C40:C2:6C4320,344
C40⋊C2⋊7C4 = C40⋊21(C2×C4)φ: C4/C2 → C2 ⊆ Out C40⋊C2160C40:C2:7C4320,516
C40⋊C2⋊8C4 = D40⋊16C4φ: C4/C2 → C2 ⊆ Out C40⋊C2804C40:C2:8C4320,521
C40⋊C2⋊9C4 = Dic5⋊8SD16φ: C4/C2 → C2 ⊆ Out C40⋊C2160C40:C2:9C4320,479
C40⋊C2⋊10C4 = D40⋊13C4φ: C4/C2 → C2 ⊆ Out C40⋊C2804C40:C2:10C4320,522
C40⋊C2⋊11C4 = D40⋊17C4φ: trivial image802C40:C2:11C4320,327


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