Extensions 1→N→G→Q→1 with N=C₂³ and Q=Q₁₆

Direct product G=N×Q with N=C₂³ and Q=Q₁₆

		d	ρ	Label	ID
C₂³×Q₁₆		128		C2^3xQ16	128,2308

Semidirect products G=N:Q with N=C₂³ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₂³⋊Q₁₆ = C₂³⋊Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₂³	32	C2^3:Q16	128,334
C₂³⋊₂Q₁₆ = C₂³⋊₂Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	64	C2^3:2Q16	128,733
C₂³⋊₃Q₁₆ = C₂³⋊₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	32	C2^3:3Q16	128,1921
C₂³⋊₄Q₁₆ = C₂×C₈.₁₈D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂³	64	C2^3:4Q16	128,1781
C₂³⋊₅Q₁₆ = C₂×C₂²⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	64	C2^3:5Q16	128,1731

Non-split extensions G=N.Q with N=C₂³ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁Q₁₆ = C₂³.Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₂³	32		C2^3.1Q16	128,83
C₂³.₂Q₁₆ = C₂⁴.₄D₄	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₂³	32		C2^3.2Q16	128,84
C₂³.₃Q₁₆ = C₂⁴.₁₇D₄	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₂³	32		C2^3.3Q16	128,346
C₂³.₄Q₁₆ = C₂³.₈D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	32		C2^3.4Q16	128,21
C₂³.₅Q₁₆ = C₈.₁₃C₄²	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	32	4	C2^3.5Q16	128,117
C₂³.₆Q₁₆ = M₅(2).C₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	32	4	C2^3.6Q16	128,120
C₂³.₇Q₁₆ = C₂⁴.₆₁D₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	32		C2^3.7Q16	128,252
C₂³.₈Q₁₆ = C₂⁴.₈₆D₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	64		C2^3.8Q16	128,768
C₂³.₉Q₁₆ = C₂⁴.₈₈D₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	64		C2^3.9Q16	128,808
C₂³.₁₀Q₁₆ = M₅(2).₁C₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂³	32	4	C2^3.10Q16	128,893
C₂³.₁₁Q₁₆ = C₈.₈C₄²	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3.11Q16	128,113
C₂³.₁₂Q₁₆ = C₂³.₂₂D₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3.12Q16	128,540
C₂³.₁₃Q₁₆ = C₂⁴.₁₃₅D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3.13Q16	128,624
C₂³.₁₄Q₁₆ = C₂×C₈.₄Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3.14Q16	128,892
C₂³.₁₅Q₁₆ = C₂³.₃₀D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	32		C2^3.15Q16	128,26
C₂³.₁₆Q₁₆ = C₂×C₂³.₃₁D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	32		C2^3.16Q16	128,231
C₂³.₁₇Q₁₆ = C₂⁴.₁₅₅D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	64		C2^3.17Q16	128,519
C₂³.₁₈Q₁₆ = C₂⁴.₁₅₇D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	64		C2^3.18Q16	128,556
C₂³.₁₉Q₁₆ = C₂³.₃₇D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	64		C2^3.19Q16	128,584
C₂³.₂₀Q₁₆ = C₂⁴.₁₆₀D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	64		C2^3.20Q16	128,604
C₂³.₂₁Q₁₆ = C₂×C₂³.₄₈D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂³	64		C2^3.21Q16	128,1822
C₂³.₂₂Q₁₆ = C₂×C₂².₄Q₁₆	central extension (φ=1)	128		C2^3.22Q16	128,466
C₂³.₂₃Q₁₆ = C₂²×Q₈⋊C₄	central extension (φ=1)	128		C2^3.23Q16	128,1623
C₂³.₂₄Q₁₆ = C₂²×C₂.D₈	central extension (φ=1)	128		C2^3.24Q16	128,1640

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Extensions 1→N→G→Q→1 with N=C23 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₂³ and Q=Q₁₆