Extensions 1→N→G→Q→1 with N=D5xC52 and Q=C2

Direct product G=NxQ with N=D5xC52 and Q=C2
dρLabelID
D5xC5xC10100D5xC5xC10500,53

Semidirect products G=N:Q with N=D5xC52 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC52):1C2 = C5xD52φ: C2/C1C2 ⊆ Out D5xC52204(D5xC5^2):1C2500,50
(D5xC52):2C2 = D5xC5:D5φ: C2/C1C2 ⊆ Out D5xC5250(D5xC5^2):2C2500,51

Non-split extensions G=N.Q with N=D5xC52 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5xC52).1C2 = F5xC52φ: C2/C1C2 ⊆ Out D5xC52100(D5xC5^2).1C2500,41
(D5xC52).2C2 = C5xD5.D5φ: C2/C1C2 ⊆ Out D5xC52204(D5xC5^2).2C2500,42
(D5xC52).3C2 = C53:C4φ: C2/C1C2 ⊆ Out D5xC52100(D5xC5^2).3C2500,45

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