Extensions 1→N→G→Q→1 with N=D5 and Q=C2xC4:C4

Direct product G=NxQ with N=D5 and Q=C2xC4:C4
dρLabelID
C2xD5xC4:C4160C2xD5xC4:C4320,1173

Semidirect products G=N:Q with N=D5 and Q=C2xC4:C4
extensionφ:Q→Out NdρLabelID
D5:(C2xC4:C4) = C22xC4:F5φ: C2xC4:C4/C22xC4C2 ⊆ Out D580D5:(C2xC4:C4)320,1591

Non-split extensions G=N.Q with N=D5 and Q=C2xC4:C4
extensionφ:Q→Out NdρLabelID
D5.1(C2xC4:C4) = C4:C4xF5φ: C2xC4:C4/C4:C4C2 ⊆ Out D580D5.1(C2xC4:C4)320,1048
D5.2(C2xC4:C4) = C2xD10.3Q8φ: C2xC4:C4/C22xC4C2 ⊆ Out D580D5.2(C2xC4:C4)320,1100

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