Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₂³

Direct product G=N×Q with N=C₁₆ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₁₆		128		C2^3xC16	128,2136

Semidirect products G=N:Q with N=C₁₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊C₂³ = C₂×C₁₆⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₁₆	32		C16:C2^3	128,2144
C₁₆⋊₂C₂³ = C₂²×D₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16:2C2^3	128,2140
C₁₆⋊₃C₂³ = C₂²×SD₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16:3C2^3	128,2141
C₁₆⋊₄C₂³ = C₂²×M₅(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16:4C2^3	128,2137

Non-split extensions G=N.Q with N=C₁₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁C₂³ = C₂×Q₃₂⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₁₆	64		C16.1C2^3	128,2145
C₁₆.₂C₂³ = D₁₆⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₁₆	32	4	C16.2C2^3	128,2146
C₁₆.₃C₂³ = D₄○D₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₁₆	32	4+	C16.3C2^3	128,2147
C₁₆.₄C₂³ = D₄○SD₃₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₁₆	32	4	C16.4C2^3	128,2148
C₁₆.₅C₂³ = Q₈○D₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₁₆	64	4-	C16.5C2^3	128,2149
C₁₆.₆C₂³ = C₂×D₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16.6C2^3	128,991
C₁₆.₇C₂³ = C₂×SD₆₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16.7C2^3	128,992
C₁₆.₈C₂³ = C₂×Q₆₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	128		C16.8C2^3	128,993
C₁₆.₉C₂³ = C₄○D₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64	2	C16.9C2^3	128,994
C₁₆.₁₀C₂³ = C₃₂⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	32	4+	C16.10C2^3	128,995
C₁₆.₁₁C₂³ = Q₆₄⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64	4-	C16.11C2^3	128,996
C₁₆.₁₂C₂³ = C₂²×Q₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	128		C16.12C2^3	128,2142
C₁₆.₁₃C₂³ = C₂×C₄○D₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16.13C2^3	128,2143
C₁₆.₁₄C₂³ = C₂×D₄○C₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	64		C16.14C2^3	128,2138
C₁₆.₁₅C₂³ = Q₈○M₅(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₆	32	4	C16.15C2^3	128,2139
C₁₆.₁₆C₂³ = C₂×M₆(2)	central extension (φ=1)	64		C16.16C2^3	128,989
C₁₆.₁₇C₂³ = D₄○C₃₂	central extension (φ=1)	64	2	C16.17C2^3	128,990

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