Extensions 1→N→G→Q→1 with N=C₂₆ and Q=D₆

Direct product G=N×Q with N=C₂₆ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₂₆		156		S3xC2xC26	312,59

Semidirect products G=N:Q with N=C₂₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊₁D₆ = C₂×S₃×D₁₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	78	4+	C26:1D6	312,54
C₂₆⋊₂D₆ = C₂²×D₃₉	φ: D₆/C₆ → C₂ ⊆ Aut C₂₆	156		C26:2D6	312,60

Non-split extensions G=N.Q with N=C₂₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.₁D₆ = Dic₃×D₁₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	156	4-	C26.1D6	312,15
C₂₆.₂D₆ = S₃×Dic₁₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	156	4-	C26.2D6	312,16
C₂₆.₃D₆ = D₇₈.C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	156	4+	C26.3D6	312,17
C₂₆.₄D₆ = C₃₉⋊D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	156	4-	C26.4D6	312,18
C₂₆.₅D₆ = C₃⋊D₅₂	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	156	4+	C26.5D6	312,19
C₂₆.₆D₆ = C₁₃⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	156	4+	C26.6D6	312,20
C₂₆.₇D₆ = C₃₉⋊Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₆	312	4-	C26.7D6	312,21
C₂₆.₈D₆ = Dic₇₈	φ: D₆/C₆ → C₂ ⊆ Aut C₂₆	312	2-	C26.8D6	312,37
C₂₆.₉D₆ = C₄×D₃₉	φ: D₆/C₆ → C₂ ⊆ Aut C₂₆	156	2	C26.9D6	312,38
C₂₆.₁₀D₆ = D₁₅₆	φ: D₆/C₆ → C₂ ⊆ Aut C₂₆	156	2+	C26.10D6	312,39
C₂₆.₁₁D₆ = C₂×Dic₃₉	φ: D₆/C₆ → C₂ ⊆ Aut C₂₆	312		C26.11D6	312,40
C₂₆.₁₂D₆ = C₃₉⋊₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂₆	156	2	C26.12D6	312,41
C₂₆.₁₃D₆ = C₁₃×Dic₆	central extension (φ=1)	312	2	C26.13D6	312,32
C₂₆.₁₄D₆ = S₃×C₅₂	central extension (φ=1)	156	2	C26.14D6	312,33
C₂₆.₁₅D₆ = C₁₃×D₁₂	central extension (φ=1)	156	2	C26.15D6	312,34
C₂₆.₁₆D₆ = Dic₃×C₂₆	central extension (φ=1)	312		C26.16D6	312,35
C₂₆.₁₇D₆ = C₁₃×C₃⋊D₄	central extension (φ=1)	156	2	C26.17D6	312,36

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