Extensions 1→N→G→Q→1 with N=D10 and Q=C16

Direct product G=NxQ with N=D10 and Q=C16
dρLabelID
D5xC2xC16160D5xC2xC16320,526

Semidirect products G=N:Q with N=D10 and Q=C16
extensionφ:Q→Out NdρLabelID
D10:1C16 = D10:1C16φ: C16/C8C2 ⊆ Out D10160D10:1C16320,65
D10:2C16 = D10:C16φ: C16/C8C2 ⊆ Out D10160D10:2C16320,225
D10:3C16 = C2xD5:C16φ: C16/C8C2 ⊆ Out D10160D10:3C16320,1051

Non-split extensions G=N.Q with N=D10 and Q=C16
extensionφ:Q→Out NdρLabelID
D10.1C16 = C32:D5φ: C16/C8C2 ⊆ Out D101602D10.1C16320,5
D10.2C16 = D5:C32φ: C16/C8C2 ⊆ Out D101604D10.2C16320,179
D10.3C16 = C80.C4φ: C16/C8C2 ⊆ Out D101604D10.3C16320,180
D10.4C16 = D5xC32φ: trivial image1602D10.4C16320,4

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