Extensions 1→N→G→Q→1 with N=Dic40 and Q=C2

Direct product G=NxQ with N=Dic40 and Q=C2
dρLabelID
C2xDic40320C2xDic40320,532

Semidirect products G=N:Q with N=Dic40 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic40:1C2 = C160:C2φ: C2/C1C2 ⊆ Out Dic401602Dic40:1C2320,7
Dic40:2C2 = C16.D10φ: C2/C1C2 ⊆ Out Dic401604-Dic40:2C2320,536
Dic40:3C2 = D16.D5φ: C2/C1C2 ⊆ Out Dic401604-Dic40:3C2320,78
Dic40:4C2 = D16:3D5φ: C2/C1C2 ⊆ Out Dic401604-Dic40:4C2320,539
Dic40:5C2 = D5xQ32φ: C2/C1C2 ⊆ Out Dic401604-Dic40:5C2320,544
Dic40:6C2 = SD32:D5φ: C2/C1C2 ⊆ Out Dic401604-Dic40:6C2320,542
Dic40:7C2 = D80:7C2φ: trivial image1602Dic40:7C2320,531

Non-split extensions G=N.Q with N=Dic40 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic40.1C2 = Dic80φ: C2/C1C2 ⊆ Out Dic403202-Dic40.1C2320,8
Dic40.2C2 = C5:Q64φ: C2/C1C2 ⊆ Out Dic403204-Dic40.2C2320,80

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