Extensions 1→N→G→Q→1 with N=C₆ and Q=SD₁₆

Direct product G=N×Q with N=C₆ and Q=SD₁₆

		d	ρ	Label	ID
C₆×SD₁₆		48		C6xSD16	96,180

Semidirect products G=N:Q with N=C₆ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁SD₁₆ = C₂×C₂₄⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₆	48		C6:1SD16	96,109
C₆⋊₂SD₁₆ = C₂×D₄.S₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₆	48		C6:2SD16	96,140
C₆⋊₃SD₁₆ = C₂×Q₈⋊₂S₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₆	48		C6:3SD16	96,148

Non-split extensions G=N.Q with N=C₆ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁SD₁₆ = C₂.Dic₁₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₆	96		C6.1SD16	96,23
C₆.₂SD₁₆ = C₈⋊Dic₃	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₆	96		C6.2SD16	96,24
C₆.₃SD₁₆ = C₂.D₂₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₆	48		C6.3SD16	96,28
C₆.₄SD₁₆ = C₁₂.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₆	96		C6.4SD16	96,15
C₆.₅SD₁₆ = C₆.SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₆	96		C6.5SD16	96,17
C₆.₆SD₁₆ = D₄⋊Dic₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₆	48		C6.6SD16	96,39
C₆.₇SD₁₆ = C₆.D₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₆	48		C6.7SD16	96,16
C₆.₈SD₁₆ = Q₈⋊₂Dic₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₆	96		C6.8SD16	96,42
C₆.₉SD₁₆ = C₃×D₄⋊C₄	central extension (φ=1)	48		C6.9SD16	96,52
C₆.₁₀SD₁₆ = C₃×Q₈⋊C₄	central extension (φ=1)	96		C6.10SD16	96,53
C₆.₁₁SD₁₆ = C₃×C₄.Q₈	central extension (φ=1)	96		C6.11SD16	96,56

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