Extensions 1→N→G→Q→1 with N=C₃²⋊₂Q₈ and Q=C₆

Direct product G=N×Q with N=C₃²⋊₂Q₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₃²⋊₂Q₈		48		C6xC3^2:2Q8	432,657

Semidirect products G=N:Q with N=C₃²⋊₂Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈⋊₁C₆ = C₃×C₃²⋊₂SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4	C3^2:2Q8:1C6	432,577
C₃²⋊₂Q₈⋊₂C₆ = C₃×S₃×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8:2C6	432,642
C₃²⋊₂Q₈⋊₃C₆ = C₃×Dic₃.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8:3C6	432,645
C₃²⋊₂Q₈⋊₄C₆ = C₃×D₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4	C3^2:2Q8:4C6	432,652
C₃²⋊₂Q₈⋊₅C₆ = C₃×D₆.₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4	C3^2:2Q8:5C6	432,653
C₃²⋊₂Q₈⋊₆C₆ = C₃×D₆.D₆	φ: trivial image	48	4	C3^2:2Q8:6C6	432,646

Non-split extensions G=N.Q with N=C₃²⋊₂Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈.C₆ = C₃×C₃²⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8.C6	432,578

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