Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₂₆

Direct product G=N×Q with N=C₄ and Q=C₂×C₂₆

		d	ρ	Label	ID
C₂²×C₅₂		208		C2^2xC52	208,45

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₂₆) = D₄×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₄	104		C4:(C2xC26)	208,46

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₂₆) = C₁₃×D₈	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₄	104	2	C4.1(C2xC26)	208,25
C₄.₂(C₂×C₂₆) = C₁₃×SD₁₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₄	104	2	C4.2(C2xC26)	208,26
C₄.₃(C₂×C₂₆) = C₁₃×Q₁₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₄	208	2	C4.3(C2xC26)	208,27
C₄.₄(C₂×C₂₆) = Q₈×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₄	208		C4.4(C2xC26)	208,47
C₄.₅(C₂×C₂₆) = C₁₃×C₄○D₄	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₄	104	2	C4.5(C2xC26)	208,48
C₄.₆(C₂×C₂₆) = C₁₃×M₄(2)	central extension (φ=1)	104	2	C4.6(C2xC26)	208,24

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