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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₁₆ = C₂³⋊C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂³	32		C2^3:C16	128,46
C₂³⋊₂C₁₆ = C₂×C₂²⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3:2C16	128,843

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₁₆ = C₂³.C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂³	32	4	C2^3.C16	128,132
C₂³.₂C₁₆ = C₂²⋊C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3.2C16	128,131
C₂³.₃C₁₆ = C₂×M₆(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂³	64		C2^3.3C16	128,989

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