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		48		C6xC8:C2^2	192,1462

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⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈⋊C₂²	24	4	C8:C2^2:1C6	192,886
C₈⋊C₂²⋊₂C₆ = C₃×D₄.₈D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	4	C8:C2^2:2C6	192,887
C₈⋊C₂²⋊₃C₆ = C₃×D₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	4	C8:C2^2:3C6	192,905
C₈⋊C₂²⋊₄C₆ = C₃×D₄○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	4	C8:C2^2:4C6	192,1465
C₈⋊C₂²⋊₅C₆ = C₃×D₄○SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	4	C8:C2^2:5C6	192,1466
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×D₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	4	C8:C2^2.C6	192,904

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