Extensions 1→N→G→Q→1 with N=D₄⋊₂D₁₃ and Q=C₂

Direct product G=N×Q with N=D₄⋊₂D₁₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₂D₁₃		208		C2xD4:2D13	416,217

Semidirect products G=N:Q with N=D₄⋊₂D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₁₃⋊₁C₂ = D₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	104	4	D4:2D13:1C2	416,132
D₄⋊₂D₁₃⋊₂C₂ = D₈⋊₃D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	208	4-	D4:2D13:2C2	416,133
D₄⋊₂D₁₃⋊₃C₂ = D₂₆.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	208	4	D4:2D13:3C2	416,137
D₄⋊₂D₁₃⋊₄C₂ = D₄⋊₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	104	4	D4:2D13:4C2	416,218
D₄⋊₂D₁₃⋊₅C₂ = D₄.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	208	4-	D4:2D13:5C2	416,224
D₄⋊₂D₁₃⋊₆C₂ = C₄○D₄×D₁₃	φ: trivial image	104	4	D4:2D13:6C2	416,222

Non-split extensions G=N.Q with N=D₄⋊₂D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₁₃.₁C₂ = D₄.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	208	4-	D4:2D13.1C2	416,136
D₄⋊₂D₁₃.₂C₂ = Dic₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	104	8-	D4:2D13.2C2	416,83
D₄⋊₂D₁₃.₃C₂ = Dic₂₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₃	208	8-	D4:2D13.3C2	416,205

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