Extensions 1→N→G→Q→1 with N=C₄ and Q=D₂₆

Direct product G=N×Q with N=C₄ and Q=D₂₆

		d	ρ	Label	ID
C₂×C₄×D₁₃		104		C2xC4xD13	208,36

Semidirect products G=N:Q with N=C₄ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₂₆ = D₄×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	52	4+	C4:1D26	208,39
C₄⋊₂D₂₆ = C₂×D₅₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₄	104		C4:2D26	208,37

Non-split extensions G=N.Q with N=C₄ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₂₆ = D₄⋊D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	104	4+	C4.1D26	208,15
C₄.₂D₂₆ = D₄.D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	104	4-	C4.2D26	208,16
C₄.₃D₂₆ = Q₈⋊D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	104	4+	C4.3D26	208,17
C₄.₄D₂₆ = C₁₃⋊Q₁₆	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	208	4-	C4.4D26	208,18
C₄.₅D₂₆ = D₄⋊₂D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	104	4-	C4.5D26	208,40
C₄.₆D₂₆ = Q₈×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	104	4-	C4.6D26	208,41
C₄.₇D₂₆ = D₅₂⋊C₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₄	104	4+	C4.7D26	208,42
C₄.₈D₂₆ = C₁₀₄⋊C₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₄	104	2	C4.8D26	208,6
C₄.₉D₂₆ = D₁₀₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₄	104	2+	C4.9D26	208,7
C₄.₁₀D₂₆ = Dic₅₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₄	208	2-	C4.10D26	208,8
C₄.₁₁D₂₆ = C₂×Dic₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₄	208		C4.11D26	208,35
C₄.₁₂D₂₆ = C₈×D₁₃	central extension (φ=1)	104	2	C4.12D26	208,4
C₄.₁₃D₂₆ = C₈⋊D₁₃	central extension (φ=1)	104	2	C4.13D26	208,5
C₄.₁₄D₂₆ = C₂×C₁₃⋊₂C₈	central extension (φ=1)	208		C4.14D26	208,9
C₄.₁₅D₂₆ = C₅₂.₄C₄	central extension (φ=1)	104	2	C4.15D26	208,10
C₄.₁₆D₂₆ = D₅₂⋊₅C₂	central extension (φ=1)	104	2	C4.16D26	208,38

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