Extensions 1→N→G→Q→1 with N=C2xC10 and Q=C10

Direct product G=NxQ with N=C2xC10 and Q=C10
dρLabelID
C2xC102200C2xC10^2200,52

Semidirect products G=N:Q with N=C2xC10 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC10):1C10 = D4xC52φ: C10/C5C2 ⊆ Aut C2xC10100(C2xC10):1C10200,38
(C2xC10):2C10 = C5xC5:D4φ: C10/C5C2 ⊆ Aut C2xC10202(C2xC10):2C10200,31
(C2xC10):3C10 = D5xC2xC10φ: C10/C5C2 ⊆ Aut C2xC1040(C2xC10):3C10200,50

Non-split extensions G=N.Q with N=C2xC10 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC10).1C10 = D4xC25φ: C10/C5C2 ⊆ Aut C2xC101002(C2xC10).1C10200,10
(C2xC10).2C10 = C10xDic5φ: C10/C5C2 ⊆ Aut C2xC1040(C2xC10).2C10200,30

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