Extensions 1→N→G→Q→1 with N=D40:C2 and Q=C2

Direct product G=NxQ with N=D40:C2 and Q=C2
dρLabelID
C2xD40:C280C2xD40:C2320,1431

Semidirect products G=N:Q with N=D40:C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D40:C2:1C2 = D5xC8:C22φ: C2/C1C2 ⊆ Out D40:C2408+D40:C2:1C2320,1444
D40:C2:2C2 = D8:5D10φ: C2/C1C2 ⊆ Out D40:C2808+D40:C2:2C2320,1446
D40:C2:3C2 = D40:C22φ: C2/C1C2 ⊆ Out D40:C2808+D40:C2:3C2320,1449
D40:C2:4C2 = C40.C23φ: C2/C1C2 ⊆ Out D40:C2808+D40:C2:4C2320,1450
D40:C2:5C2 = D20.29D4φ: C2/C1C2 ⊆ Out D40:C2804D40:C2:5C2320,1434
D40:C2:6C2 = D8:15D10φ: C2/C1C2 ⊆ Out D40:C2804+D40:C2:6C2320,1441
D40:C2:7C2 = Q16:D10φ: trivial image804D40:C2:7C2320,1440


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