Extensions 1→N→G→Q→1 with N=C4xA4 and Q=D5

Direct product G=NxQ with N=C4xA4 and Q=D5
dρLabelID
C4xD5xA4606C4xD5xA4480,1036

Semidirect products G=N:Q with N=C4xA4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C4xA4):1D5 = C20:S4φ: D5/C5C2 ⊆ Out C4xA4606+(C4xA4):1D5480,1026
(C4xA4):2D5 = C4xC5:S4φ: D5/C5C2 ⊆ Out C4xA4606(C4xA4):2D5480,1025
(C4xA4):3D5 = A4xD20φ: D5/C5C2 ⊆ Out C4xA4606+(C4xA4):3D5480,1037

Non-split extensions G=N.Q with N=C4xA4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C4xA4).1D5 = C20.1S4φ: D5/C5C2 ⊆ Out C4xA41206-(C4xA4).1D5480,1024
(C4xA4).2D5 = C20.S4φ: D5/C5C2 ⊆ Out C4xA41206(C4xA4).2D5480,259
(C4xA4).3D5 = A4xDic10φ: D5/C5C2 ⊆ Out C4xA41206-(C4xA4).3D5480,1035
(C4xA4).4D5 = A4xC5:2C8φ: trivial image1206(C4xA4).4D5480,265

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