Extensions 1→N→G→Q→1 with N=C₅₂⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₅₂⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₅₂⋊C₄		104		C2xC52:C4	416,203

Semidirect products G=N:Q with N=C₅₂⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂⋊C₄⋊₁C₂ = D₅₂⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊C₄	104	8+	C52:C4:1C2	416,82
C₅₂⋊C₄⋊₂C₂ = D₄×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊C₄	52	8+	C52:C4:2C2	416,206
C₅₂⋊C₄⋊₃C₂ = D₂₆.C₂³	φ: trivial image	104	4	C52:C4:3C2	416,204

Non-split extensions G=N.Q with N=C₅₂⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂⋊C₄.₁C₂ = D₁₃.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊C₄	104	8-	C52:C4.1C2	416,84
C₅₂⋊C₄.₂C₂ = Q₈×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊C₄	104	8-	C52:C4.2C2	416,208
C₅₂⋊C₄.₃C₂ = D₂₆.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊C₄	104	4	C52:C4.3C2	416,68
C₅₂⋊C₄.₄C₂ = D₁₃.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂⋊C₄	104	4	C52:C4.4C2	416,69

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