Extensions 1→N→G→Q→1 with N=C₂₆ and Q=C₂³

Direct product G=N×Q with N=C₂₆ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₂₆		208		C2^3xC26	208,51

Semidirect products G=N:Q with N=C₂₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊C₂³ = C₂³×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104		C26:C2^3	208,50

Non-split extensions G=N.Q with N=C₂₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.₁C₂³ = C₂×Dic₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	208		C26.1C2^3	208,35
C₂₆.₂C₂³ = C₂×C₄×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104		C26.2C2^3	208,36
C₂₆.₃C₂³ = C₂×D₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104		C26.3C2^3	208,37
C₂₆.₄C₂³ = D₅₂⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104	2	C26.4C2^3	208,38
C₂₆.₅C₂³ = D₄×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	52	4+	C26.5C2^3	208,39
C₂₆.₆C₂³ = D₄⋊₂D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104	4-	C26.6C2^3	208,40
C₂₆.₇C₂³ = Q₈×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104	4-	C26.7C2^3	208,41
C₂₆.₈C₂³ = D₅₂⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104	4+	C26.8C2^3	208,42
C₂₆.₉C₂³ = C₂²×Dic₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	208		C26.9C2^3	208,43
C₂₆.₁₀C₂³ = C₂×C₁₃⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₆	104		C26.10C2^3	208,44
C₂₆.₁₁C₂³ = D₄×C₂₆	central extension (φ=1)	104		C26.11C2^3	208,46
C₂₆.₁₂C₂³ = Q₈×C₂₆	central extension (φ=1)	208		C26.12C2^3	208,47
C₂₆.₁₃C₂³ = C₁₃×C₄○D₄	central extension (φ=1)	104	2	C26.13C2^3	208,48

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