Extensions 1→N→G→Q→1 with N=C₄ and Q=D₁₆

Direct product G=N×Q with N=C₄ and Q=D₁₆

		d	ρ	Label	ID
C₄×D₁₆		64		C4xD16	128,904

Semidirect products G=N:Q with N=C₄ and Q=D₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₁₆ = C₄⋊D₁₆	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	64		C4:1D16	128,978
C₄⋊₂D₁₆ = D₈⋊₂D₄	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	64		C4:2D16	128,938

Non-split extensions G=N.Q with N=C₄ and Q=D₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₁₆ = D₆₄	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	64	2+	C4.1D16	128,161
C₄.₂D₁₆ = SD₁₂₈	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	64	2	C4.2D16	128,162
C₄.₃D₁₆ = Q₁₂₈	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	128	2-	C4.3D16	128,163
C₄.₄D₁₆ = C₄.₄D₁₆	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	64		C4.4D16	128,972
C₄.₅D₁₆ = C₁₆⋊₂Q₈	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	128		C4.5D16	128,984
C₄.₆D₁₆ = C₂×D₃₂	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	64		C4.6D16	128,991
C₄.₇D₁₆ = C₂×SD₆₄	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	64		C4.7D16	128,992
C₄.₈D₁₆ = C₂×Q₆₄	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₄	128		C4.8D16	128,993
C₄.₉D₁₆ = C₄.D₁₆	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	64		C4.9D16	128,93
C₄.₁₀D₁₆ = C₄.₁₀D₁₆	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	128		C4.10D16	128,96
C₄.₁₁D₁₆ = M₆(2)⋊C₂	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	32	4+	C4.11D16	128,151
C₄.₁₂D₁₆ = C₁₆.₁₈D₄	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	64	4-	C4.12D16	128,152
C₄.₁₃D₁₆ = D₈⋊₁Q₈	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	64		C4.13D16	128,956
C₄.₁₄D₁₆ = C₃₂⋊C₂²	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	32	4+	C4.14D16	128,995
C₄.₁₅D₁₆ = Q₆₄⋊C₂	φ: D₁₆/D₈ → C₂ ⊆ Aut C₄	64	4-	C4.15D16	128,996
C₄.₁₆D₁₆ = C₄.₁₆D₁₆	central extension (φ=1)	64		C4.16D16	128,63
C₄.₁₇D₁₆ = C₁₆⋊₃C₈	central extension (φ=1)	128		C4.17D16	128,103
C₄.₁₈D₁₆ = D₁₆.C₄	central extension (φ=1)	64	2	C4.18D16	128,149
C₄.₁₉D₁₆ = C₃₂.C₄	central extension (φ=1)	64	2	C4.19D16	128,157
C₄.₂₀D₁₆ = C₄○D₃₂	central extension (φ=1)	64	2	C4.20D16	128,994

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Extensions 1→N→G→Q→1 with N=C4 and Q=D16

Extensions 1→N→G→Q→1 with N=C₄ and Q=D₁₆