Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₆

Direct product G=N×Q with N=C₆ and Q=D₂₆

		d	ρ	Label	ID
C₂×C₆×D₁₃		156		C2xC6xD13	312,58

Semidirect products G=N:Q with N=C₆ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₂₆ = C₂×S₃×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	78	4+	C6:1D26	312,54
C₆⋊₂D₂₆ = C₂²×D₃₉	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₆	156		C6:2D26	312,60

Non-split extensions G=N.Q with N=C₆ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₂₆ = Dic₃×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	156	4-	C6.1D26	312,15
C₆.₂D₂₆ = S₃×Dic₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	156	4-	C6.2D26	312,16
C₆.₃D₂₆ = D₇₈.C₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	156	4+	C6.3D26	312,17
C₆.₄D₂₆ = C₃₉⋊D₄	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	156	4-	C6.4D26	312,18
C₆.₅D₂₆ = C₃⋊D₅₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	156	4+	C6.5D26	312,19
C₆.₆D₂₆ = C₁₃⋊D₁₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	156	4+	C6.6D26	312,20
C₆.₇D₂₆ = C₃₉⋊Q₈	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₆	312	4-	C6.7D26	312,21
C₆.₈D₂₆ = Dic₇₈	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₆	312	2-	C6.8D26	312,37
C₆.₉D₂₆ = C₄×D₃₉	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.9D26	312,38
C₆.₁₀D₂₆ = D₁₅₆	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2+	C6.10D26	312,39
C₆.₁₁D₂₆ = C₂×Dic₃₉	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₆	312		C6.11D26	312,40
C₆.₁₂D₂₆ = C₃₉⋊₇D₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₆	156	2	C6.12D26	312,41
C₆.₁₃D₂₆ = C₃×Dic₂₆	central extension (φ=1)	312	2	C6.13D26	312,27
C₆.₁₄D₂₆ = C₁₂×D₁₃	central extension (φ=1)	156	2	C6.14D26	312,28
C₆.₁₅D₂₆ = C₃×D₅₂	central extension (φ=1)	156	2	C6.15D26	312,29
C₆.₁₆D₂₆ = C₆×Dic₁₃	central extension (φ=1)	312		C6.16D26	312,30
C₆.₁₇D₂₆ = C₃×C₁₃⋊D₄	central extension (φ=1)	156	2	C6.17D26	312,31

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