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

Direct product G=N×Q with N=C₂₆ and Q=C₆

		d	ρ	Label	ID
C₂×C₇₈		156		C2xC78	156,18

Semidirect products G=N:Q with N=C₂₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊C₆ = C₂×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂₆	26	6+	C26:C6	156,8
C₂₆⋊₂C₆ = C₂²×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂₆	52		C26:2C6	156,12
C₂₆⋊₃C₆ = C₆×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂₆	78	2	C26:3C6	156,15

Non-split extensions G=N.Q with N=C₂₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.C₆ = C₂₆.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂₆	52	6-	C26.C6	156,1
C₂₆.₂C₆ = C₄×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂₆	52	3	C26.2C6	156,2
C₂₆.₃C₆ = C₃×Dic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂₆	156	2	C26.3C6	156,4

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