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		208		C2xC52.C4	416,200

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂.C₄⋊₁C₂ = Dic₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.C₄	104	8-	C52.C4:1C2	416,83
C₅₂.C₄⋊₂C₂ = D₅₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.C₄	104	8+	C52.C4:2C2	416,85
C₅₂.C₄⋊₃C₂ = Dic₂₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.C₄	208	8-	C52.C4:3C2	416,205
C₅₂.C₄⋊₄C₂ = D₅₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.C₄	208	8+	C52.C4:4C2	416,207
C₅₂.C₄⋊₅C₂ = D₁₃⋊M₄(2)	φ: trivial image	104	4	C52.C4:5C2	416,201

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 = C₁₀₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.C₄	208	4	C52.C4.1C2	416,70
C₅₂.C₄.₂C₂ = C₁₀₄.₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.C₄	208	4	C52.C4.2C2	416,71

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