Extensions 1→N→G→Q→1 with N=C2xC26 and Q=C2

Direct product G=NxQ with N=C2xC26 and Q=C2
dρLabelID
C22xC26104C2^2xC26104,14

Semidirect products G=N:Q with N=C2xC26 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC26):1C2 = D4xC13φ: C2/C1C2 ⊆ Aut C2xC26522(C2xC26):1C2104,10
(C2xC26):2C2 = C13:D4φ: C2/C1C2 ⊆ Aut C2xC26522(C2xC26):2C2104,8
(C2xC26):3C2 = C22xD13φ: C2/C1C2 ⊆ Aut C2xC2652(C2xC26):3C2104,13

Non-split extensions G=N.Q with N=C2xC26 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC26).C2 = C2xDic13φ: C2/C1C2 ⊆ Aut C2xC26104(C2xC26).C2104,7

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