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

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

		d	ρ	Label	ID
C₂×C₄.D₄		16		C2xC4.D4	64,92

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊₁C₂ = D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.D₄	8	4+	C4.D4:1C2	64,134
C₄.D₄⋊₂C₂ = D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.D₄	16	4	C4.D4:2C2	64,136
C₄.D₄⋊₃C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.D₄	16	4	C4.D4:3C2	64,152
C₄.D₄⋊₄C₂ = D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.D₄	16	4+	C4.D4:4C2	64,153
C₄.D₄⋊₅C₂ = C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.D₄	8	4+	C4.D4:5C2	64,32
C₄.D₄⋊₆C₂ = M₄(2).₈C₂²	φ: trivial image	16	4	C4.D4:6C2	64,94

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.C₂ = C₂³.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.D₄	16	4	C4.D4.C2	64,33

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