Extensions 1→N→G→Q→1 with N=C28 and Q=C2

Direct product G=NxQ with N=C28 and Q=C2
dρLabelID
C2xC2856C2xC2856,8

Semidirect products G=N:Q with N=C28 and Q=C2
extensionφ:Q→Aut NdρLabelID
C28:1C2 = D28φ: C2/C1C2 ⊆ Aut C28282+C28:1C256,5
C28:2C2 = C4xD7φ: C2/C1C2 ⊆ Aut C28282C28:2C256,4
C28:3C2 = C7xD4φ: C2/C1C2 ⊆ Aut C28282C28:3C256,9

Non-split extensions G=N.Q with N=C28 and Q=C2
extensionφ:Q→Aut NdρLabelID
C28.1C2 = Dic14φ: C2/C1C2 ⊆ Aut C28562-C28.1C256,3
C28.2C2 = C7:C8φ: C2/C1C2 ⊆ Aut C28562C28.2C256,1
C28.3C2 = C7xQ8φ: C2/C1C2 ⊆ Aut C28562C28.3C256,10

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