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

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

		d	ρ	Label	ID
C₁₂×Q₁₆		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 = C₄×Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12:5Q16	192,257
C₁₂⋊₆Q₁₆ = C₃×C₄⋊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 = C₄×C₃⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12:8Q16	192,588
C₁₂⋊₉Q₁₆ = C₃×C₄⋊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 = C₃×C₁₆⋊₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.18Q16	192,172
C₁₂.₁₉Q₁₆ = C₃×C₁₆⋊₄C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.19Q16	192,173
C₁₂.₂₀Q₁₆ = C₃×C₄.SD₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₂	192	C12.20Q16	192,920
C₁₂.₂₁Q₁₆ = C₃×C₈⋊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 = C₃×C₄.₁₀D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.27Q16	192,138
C₁₂.₂₈Q₁₆ = C₃×C₄.₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.28Q16	192,139
C₁₂.₂₉Q₁₆ = C₃×C₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₂	192	C12.29Q16	192,910
C₁₂.₃₀Q₁₆ = C₃×Q₈⋊C₈	central extension (φ=1)	192	C12.30Q16	192,132
C₁₂.₃₁Q₁₆ = C₃×C₈⋊₁C₈	central extension (φ=1)	192	C12.31Q16	192,141

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

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