Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₂₆

Direct product G=NxQ with N=C₆ and Q=C₂xC₂₆

		d	ρ	Label	ID
C₂²xC₇₈		312		C2^2xC78	312,61

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xC₂₆) = S₃xC₂xC₂₆	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Aut C₆	156		C6:(C2xC26)	312,59

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₂₆) = C₁₃xDic₆	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Aut C₆	312	2	C6.1(C2xC26)	312,32
C₆.₂(C₂xC₂₆) = S₃xC₅₂	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.2(C2xC26)	312,33
C₆.₃(C₂xC₂₆) = C₁₃xD₁₂	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.3(C2xC26)	312,34
C₆.₄(C₂xC₂₆) = Dic₃xC₂₆	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Aut C₆	312		C6.4(C2xC26)	312,35
C₆.₅(C₂xC₂₆) = C₁₃xC₃:D₄	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.5(C2xC26)	312,36
C₆.₆(C₂xC₂₆) = D₄xC₃₉	central extension (φ=1)	156	2	C6.6(C2xC26)	312,43
C₆.₇(C₂xC₂₆) = Q₈xC₃₉	central extension (φ=1)	312	2	C6.7(C2xC26)	312,44

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