Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂²×C₂₆

Direct product G=N×Q with N=C₄ and Q=C₂²×C₂₆

		d	ρ	Label	ID
C₂³×C₅₂		416		C2^3xC52	416,227

Semidirect products G=N:Q with N=C₄ and Q=C₂²×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂²×C₂₆) = D₄×C₂×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208		C4:(C2^2xC26)	416,228

Non-split extensions G=N.Q with N=C₄ and Q=C₂²×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂²×C₂₆) = D₈×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208		C4.1(C2^2xC26)	416,193
C₄.₂(C₂²×C₂₆) = SD₁₆×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208		C4.2(C2^2xC26)	416,194
C₄.₃(C₂²×C₂₆) = Q₁₆×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	416		C4.3(C2^2xC26)	416,195
C₄.₄(C₂²×C₂₆) = C₁₃×C₄○D₈	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208	2	C4.4(C2^2xC26)	416,196
C₄.₅(C₂²×C₂₆) = C₁₃×C₈⋊C₂²	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	104	4	C4.5(C2^2xC26)	416,197
C₄.₆(C₂²×C₂₆) = C₁₃×C₈.C₂²	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208	4	C4.6(C2^2xC26)	416,198
C₄.₇(C₂²×C₂₆) = Q₈×C₂×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	416		C4.7(C2^2xC26)	416,229
C₄.₈(C₂²×C₂₆) = C₄○D₄×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208		C4.8(C2^2xC26)	416,230
C₄.₉(C₂²×C₂₆) = C₁₃×2₊¹⁺⁴	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	104	4	C4.9(C2^2xC26)	416,231
C₄.₁₀(C₂²×C₂₆) = C₁₃×2_-¹⁺⁴	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₄	208	4	C4.10(C2^2xC26)	416,232
C₄.₁₁(C₂²×C₂₆) = M₄(2)×C₂₆	central extension (φ=1)	208		C4.11(C2^2xC26)	416,191
C₄.₁₂(C₂²×C₂₆) = C₁₃×C₈○D₄	central extension (φ=1)	208	2	C4.12(C2^2xC26)	416,192

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