Extensions 1→N→G→Q→1 with N=C₁₃⋊D₄ and Q=C₄

Direct product G=N×Q with N=C₁₃⋊D₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₃⋊D₄		208		C4xC13:D4	416,149

Semidirect products G=N:Q with N=C₁₃⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊D₄⋊C₄ = D₄×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₁₃⋊D₄	52	8+	C13:D4:C4	416,206
C₁₃⋊D₄⋊₂C₄ = Dic₁₃⋊₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊D₄	208		C13:D4:2C4	416,102

Non-split extensions G=N.Q with N=C₁₃⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊D₄.C₄ = Dic₂₆.C₄	φ: C₄/C₁ → C₄ ⊆ Out C₁₃⋊D₄	208	8-	C13:D4.C4	416,205
C₁₃⋊D₄.₂C₄ = D₅₂.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊D₄	208	4	C13:D4.2C4	416,128
C₁₃⋊D₄.₃C₄ = D₅₂.₃C₄	φ: trivial image	208	2	C13:D4.3C4	416,122

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Extensions 1→N→G→Q→1 with N=C13⋊D4 and Q=C4