Extensions 1→N→G→Q→1 with N=C₈.C₂² and Q=C₂

Direct product G=N×Q with N=C₈.C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₈.C₂²		32		C2xC8.C2^2	64,255

Semidirect products G=N:Q with N=C₈.C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁C₂ = D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₂²	16	4	C8.C2^2:1C2	64,136
C₈.C₂²⋊₂C₂ = D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₂²	16	4-	C8.C2^2:2C2	64,137
C₈.C₂²⋊₃C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₂²	16	4	C8.C2^2:3C2	64,152
C₈.C₂²⋊₄C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₂²	16	4	C8.C2^2:4C2	64,258
C₈.C₂²⋊₅C₂ = Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₂²	32	4-	C8.C2^2:5C2	64,259
C₈.C₂²⋊₆C₂ = D₈⋊C₂²	φ: trivial image	16	4	C8.C2^2:6C2	64,256

Non-split extensions G=N.Q with N=C₈.C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂².C₂ = D₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₂²	32	4-	C8.C2^2.C2	64,154

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