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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊₁C₂₆ = C₂²⋊C₄×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):1C26	416,176
(C₂²×C₄)⋊₂C₂₆ = D₄×C₅₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):2C26	416,179
(C₂²×C₄)⋊₃C₂₆ = C₁₃×C₂².D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):3C26	416,184
(C₂²×C₄)⋊₄C₂₆ = C₁₃×C₄⋊D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):4C26	416,182
(C₂²×C₄)⋊₅C₂₆ = D₄×C₂×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):5C26	416,228
(C₂²×C₄)⋊₆C₂₆ = C₄○D₄×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):6C26	416,230

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).₁C₂₆ = C₁₃×C₂.C₄²	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).1C26	416,45
(C₂²×C₄).₂C₂₆ = C₁₃×C₂²⋊C₈	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).2C26	416,48
(C₂²×C₄).₃C₂₆ = C₄⋊C₄×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).3C26	416,177
(C₂²×C₄).₄C₂₆ = C₁₃×C₄²⋊C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).4C26	416,178
(C₂²×C₄).₅C₂₆ = C₁₃×C₂²⋊Q₈	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).5C26	416,183
(C₂²×C₄).₆C₂₆ = M₄(2)×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).6C26	416,191
(C₂²×C₄).₇C₂₆ = Q₈×C₂×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).7C26	416,229

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