Extensions 1→N→G→Q→1 with N=C₄.₁₀D₄ and Q=C₂

Direct product G=N×Q with N=C₄.₁₀D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.₁₀D₄		32		C2xC4.10D4	64,93

Semidirect products G=N:Q with N=C₄.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄⋊₁C₂ = D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀D₄	16	4	C4.10D4:1C2	64,135
C₄.₁₀D₄⋊₂C₂ = D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀D₄	16	4-	C4.10D4:2C2	64,137
C₄.₁₀D₄⋊₃C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀D₄	16	4	C4.10D4:3C2	64,152
C₄.₁₀D₄⋊₄C₂ = D₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀D₄	32	4-	C4.10D4:4C2	64,154
C₄.₁₀D₄⋊₅C₂ = C₄².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀D₄	16	4	C4.10D4:5C2	64,36
C₄.₁₀D₄⋊₆C₂ = M₄(2).₈C₂²	φ: trivial image	16	4	C4.10D4:6C2	64,94

Non-split extensions G=N.Q with N=C₄.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄.C₂ = C₄².₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₀D₄	16	4-	C4.10D4.C2	64,37

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