Extensions 1→N→G→Q→1 with N=D5 and Q=D4:C4

Direct product G=NxQ with N=D5 and Q=D4:C4
dρLabelID
D5xD4:C480D5xD4:C4320,396

Semidirect products G=N:Q with N=D5 and Q=D4:C4
extensionφ:Q→Out NdρLabelID
D5:(D4:C4) = C2xD20:C4φ: D4:C4/C2xD4C2 ⊆ Out D580D5:(D4:C4)320,1104

Non-split extensions G=N.Q with N=D5 and Q=D4:C4
extensionφ:Q→Out NdρLabelID
D5.1(D4:C4) = D10.18D8φ: D4:C4/C4:C4C2 ⊆ Out D580D5.1(D4:C4)320,212
D5.2(D4:C4) = D10.10D8φ: D4:C4/C2xC8C2 ⊆ Out D580D5.2(D4:C4)320,231

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