Extensions 1→N→G→Q→1 with N=C₂²×C₄ and Q=D₁₃

Direct product G=N×Q with N=C₂²×C₄ and Q=D₁₃

		d	ρ	Label	ID
C₂²×C₄×D₁₃		208		C2^2xC4xD13	416,213

Semidirect products G=N:Q with N=C₂²×C₄ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊₁D₁₃ = C₂×D₂₆⋊C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):1D13	416,148
(C₂²×C₄)⋊₂D₁₃ = C₄×C₁₃⋊D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):2D13	416,149
(C₂²×C₄)⋊₃D₁₃ = C₂³.₂₃D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):3D13	416,150
(C₂²×C₄)⋊₄D₁₃ = C₅₂⋊₇D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):4D13	416,151
(C₂²×C₄)⋊₅D₁₃ = C₂²×D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):5D13	416,214
(C₂²×C₄)⋊₆D₁₃ = C₂×D₅₂⋊₅C₂	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4):6D13	416,215

Non-split extensions G=N.Q with N=C₂²×C₄ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).₁D₁₃ = C₅₂.₅₅D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).1D13	416,37
(C₂²×C₄).₂D₁₃ = C₂₆.₁₀C₄²	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).2D13	416,38
(C₂²×C₄).₃D₁₃ = C₂×C₂₆.D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).3D13	416,144
(C₂²×C₄).₄D₁₃ = C₂×C₅₂.₄C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).4D13	416,142
(C₂²×C₄).₅D₁₃ = C₅₂.₄₈D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).5D13	416,145
(C₂²×C₄).₆D₁₃ = C₂×C₅₂⋊₃C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).6D13	416,146
(C₂²×C₄).₇D₁₃ = C₂³.₂₁D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	208		(C2^2xC4).7D13	416,147
(C₂²×C₄).₈D₁₃ = C₂²×Dic₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂²×C₄	416		(C2^2xC4).8D13	416,212
(C₂²×C₄).₉D₁₃ = C₂²×C₁₃⋊₂C₈	central extension (φ=1)	416		(C2^2xC4).9D13	416,141
(C₂²×C₄).₁₀D₁₃ = C₂×C₄×Dic₁₃	central extension (φ=1)	416		(C2^2xC4).10D13	416,143

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