Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₁₆

Direct product G=N×Q with N=C₆ and Q=Q₁₆

		d	ρ	Label	ID
C₆×Q₁₆		96		C6xQ16	96,181

Semidirect products G=N:Q with N=C₆ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁Q₁₆ = C₂×Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₆	96		C6:1Q16	96,112
C₆⋊₂Q₁₆ = C₂×C₃⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₆	96		C6:2Q16	96,150

Non-split extensions G=N.Q with N=C₆ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Q₁₆ = C₂.Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₆	96		C6.1Q16	96,23
C₆.₂Q₁₆ = C₂₄⋊₁C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₆	96		C6.2Q16	96,25
C₆.₃Q₁₆ = C₆.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₆	96		C6.3Q16	96,14
C₆.₄Q₁₆ = C₆.SD₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₆	96		C6.4Q16	96,17
C₆.₅Q₁₆ = Q₈⋊₂Dic₃	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₆	96		C6.5Q16	96,42
C₆.₆Q₁₆ = C₃×Q₈⋊C₄	central extension (φ=1)	96		C6.6Q16	96,53
C₆.₇Q₁₆ = C₃×C₂.D₈	central extension (φ=1)	96		C6.7Q16	96,57

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