Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂₆

Direct product G=N×Q with N=C₁₂ and Q=C₂₆

		d	ρ	Label	ID
C₂×C₁₅₆		312		C2xC156	312,42

Semidirect products G=N:Q with N=C₁₂ and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₂₆ = C₁₃×D₁₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₁₂	156	2	C12:1C26	312,34
C₁₂⋊₂C₂₆ = S₃×C₅₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₁₂	156	2	C12:2C26	312,33
C₁₂⋊₃C₂₆ = D₄×C₃₉	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₁₂	156	2	C12:3C26	312,43

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₂₆ = C₁₃×Dic₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₁₂	312	2	C12.1C26	312,32
C₁₂.₂C₂₆ = C₁₃×C₃⋊C₈	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₁₂	312	2	C12.2C26	312,3
C₁₂.₃C₂₆ = Q₈×C₃₉	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₁₂	312	2	C12.3C26	312,44

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Extensions 1→N→G→Q→1 with N=C12 and Q=C26