Extensions 1→N→G→Q→1 with N=D5 and Q=C4xQ8

Direct product G=NxQ with N=D5 and Q=C4xQ8
dρLabelID
C4xQ8xD5160C4xQ8xD5320,1243

Semidirect products G=N:Q with N=D5 and Q=C4xQ8
extensionφ:Q→Out NdρLabelID
D5:(C4xQ8) = C2xQ8xF5φ: C4xQ8/C2xQ8C2 ⊆ Out D580D5:(C4xQ8)320,1599

Non-split extensions G=N.Q with N=D5 and Q=C4xQ8
extensionφ:Q→Out NdρLabelID
D5.1(C4xQ8) = C4xC4:F5φ: C4xQ8/C42C2 ⊆ Out D580D5.1(C4xQ8)320,1025
D5.2(C4xQ8) = C4:C4xF5φ: C4xQ8/C4:C4C2 ⊆ Out D580D5.2(C4xQ8)320,1048

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