Extensions 1→N→G→Q→1 with N=C₈.C₂² and Q=C₆

Direct product G=N×Q with N=C₈.C₂² and Q=C₆

		d	ρ	Label	ID
C₆×C₈.C₂²		96		C6xC8.C2^2	192,1463

Semidirect products G=N:Q with N=C₈.C₂² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁C₆ = C₃×D₄.₉D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₂²	48	4	C8.C2^2:1C6	192,888
C₈.C₂²⋊₂C₆ = C₃×D₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₂²	48	4	C8.C2^2:2C6	192,889
C₈.C₂²⋊₃C₆ = C₃×D₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₂²	48	4	C8.C2^2:3C6	192,904
C₈.C₂²⋊₄C₆ = C₃×D₄○SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₂²	48	4	C8.C2^2:4C6	192,1466
C₈.C₂²⋊₅C₆ = C₃×Q₈○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₂²	96	4	C8.C2^2:5C6	192,1467
C₈.C₂²⋊₆C₆ = C₃×D₈⋊C₂²	φ: trivial image	48	4	C8.C2^2:6C6	192,1464

Non-split extensions G=N.Q with N=C₈.C₂² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂².C₆ = C₃×D₄.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₂²	96	4	C8.C2^2.C6	192,906

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