Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Q₁₆

Direct product G=NxQ with N=C₁₂ and Q=Q₁₆

		d	ρ	Label	ID
C₁₂xQ₁₆		192		C12xQ16	192,872

Semidirect products G=N:Q with N=C₁₂ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₁₂:₁Q₁₆ = C₄:Dic₁₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12:1Q16	192,408
C₁₂:₂Q₁₆ = C₁₂:Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12:2Q16	192,649
C₁₂:₃Q₁₆ = C₁₂:₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12:3Q16	192,651
C₁₂:₄Q₁₆ = C₁₂:₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12:4Q16	192,258
C₁₂:₅Q₁₆ = C₄xDic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12:5Q16	192,257
C₁₂:₆Q₁₆ = C₃xC₄:Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12:6Q16	192,927
C₁₂:₇Q₁₆ = C₁₂:₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12:7Q16	192,590
C₁₂:₈Q₁₆ = C₄xC₃:Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12:8Q16	192,588
C₁₂:₉Q₁₆ = C₃xC₄:₂Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12:9Q16	192,895

Non-split extensions G=N.Q with N=C₁₂ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₁₂.₁Q₁₆ = C₄.Dic₁₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.1Q16	192,40
C₁₂.₂Q₁₆ = C₁₂.₄₇D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.2Q16	192,41
C₁₂.₃Q₁₆ = C₆.₆D₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.3Q16	192,48
C₁₂.₄Q₁₆ = C₆.SD₃₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.4Q16	192,49
C₁₂.₅Q₁₆ = C₁₂.₅Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.5Q16	192,105
C₁₂.₆Q₁₆ = C₁₂.₁₀D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.6Q16	192,106
C₁₂.₇Q₁₆ = Dic₆:₃Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.7Q16	192,409
C₁₂.₈Q₁₆ = C₁₂.₁₇D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.8Q16	192,637
C₁₂.₉Q₁₆ = C₁₂.₉Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.9Q16	192,638
C₁₂.₁₀Q₁₆ = Dic₆:₅Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.10Q16	192,650
C₁₂.₁₁Q₁₆ = C₁₂.Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₁₂	192	C12.11Q16	192,652
C₁₂.₁₂Q₁₆ = C₄₈:₅C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.12Q16	192,63
C₁₂.₁₃Q₁₆ = C₄₈:₆C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.13Q16	192,64
C₁₂.₁₄Q₁₆ = C₁₂.₁₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.14Q16	192,240
C₁₂.₁₅Q₁₆ = C₂₄:₈Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.15Q16	192,241
C₁₂.₁₆Q₁₆ = C₄.₈Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.16Q16	192,15
C₁₂.₁₇Q₁₆ = C₂₄:₁C₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.17Q16	192,17
C₁₂.₁₈Q₁₆ = C₃xC₁₆:₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.18Q16	192,172
C₁₂.₁₉Q₁₆ = C₃xC₁₆:₄C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.19Q16	192,173
C₁₂.₂₀Q₁₆ = C₃xC₄.SD₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.20Q16	192,920
C₁₂.₂₁Q₁₆ = C₃xC₈:₂Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.21Q16	192,933
C₁₂.₂₂Q₁₆ = C₁₂.₂D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.22Q16	192,45
C₁₂.₂₃Q₁₆ = Q₈:₅Dic₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.23Q16	192,580
C₁₂.₂₄Q₁₆ = C₁₂.₅₃D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.24Q16	192,38
C₁₂.₂₅Q₁₆ = Dic₆:₂C₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.25Q16	192,43
C₁₂.₂₆Q₁₆ = C₁₂.₂₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.26Q16	192,94
C₁₂.₂₇Q₁₆ = C₃xC₄.₁₀D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.27Q16	192,138
C₁₂.₂₈Q₁₆ = C₃xC₄.₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.28Q16	192,139
C₁₂.₂₉Q₁₆ = C₃xC₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.29Q16	192,910
C₁₂.₃₀Q₁₆ = C₃xQ₈:C₈	central extension (φ=1)	192	C12.30Q16	192,132
C₁₂.₃₁Q₁₆ = C₃xC₈:₁C₈	central extension (φ=1)	192	C12.31Q16	192,141

Extensions 1→N→G→Q→1 with N=C12 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Q₁₆