Extensions 1→N→G→Q→1 with N=C26.C6 and Q=C2

Direct product G=NxQ with N=C26.C6 and Q=C2
dρLabelID
C2xC26.C6104C2xC26.C6312,11

Semidirect products G=N:Q with N=C26.C6 and Q=C2
extensionφ:Q→Out NdρLabelID
C26.C6:C2 = D26:C6φ: C2/C1C2 ⊆ Out C26.C6526C26.C6:C2312,12
C26.C6:2C2 = C4xC13:C6φ: trivial image526C26.C6:2C2312,9

Non-split extensions G=N.Q with N=C26.C6 and Q=C2
extensionφ:Q→Out NdρLabelID
C26.C6.1C2 = C13:C24φ: C2/C1C2 ⊆ Out C26.C610412-C26.C6.1C2312,7
C26.C6.2C2 = Dic26:C3φ: C2/C1C2 ⊆ Out C26.C61046-C26.C6.2C2312,8

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