Extensions 1→N→G→Q→1 with N=C₄:C₄ and Q=C₂₈

Direct product G=NxQ with N=C₄:C₄ and Q=C₂₈

		d	ρ	Label	ID
C₄:C₄xC₂₈		448		C4:C4xC28	448,786

Semidirect products G=N:Q with N=C₄:C₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:C₄:₁C₂₈ = C₇xC₂².SD₁₆	φ: C₂₈/C₇ → C₄ ⊆ Out C₄:C₄	112		C4:C4:1C28	448,131
C₄:C₄:₂C₂₈ = C₇xC₂³.₃₁D₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₄:C₄	112		C4:C4:2C28	448,132
C₄:C₄:₃C₂₈ = C₇xC₄²:₆C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	112		C4:C4:3C28	448,143
C₄:C₄:₄C₂₈ = C₇xC₂².₄Q₁₆	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	448		C4:C4:4C28	448,144
C₄:C₄:₅C₂₈ = C₇xC₂³.₆₃C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	448		C4:C4:5C28	448,795
C₄:C₄:₆C₂₈ = C₇xC₂³.₆₅C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	448		C4:C4:6C28	448,797

Non-split extensions G=N.Q with N=C₄:C₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:C₄.₁C₂₈ = C₇xC₄².₂C₂²	φ: C₂₈/C₇ → C₄ ⊆ Out C₄:C₄	448		C4:C4.1C28	448,134
C₄:C₄.₂C₂₈ = C₇xC₄.₁₀D₈	φ: C₂₈/C₇ → C₄ ⊆ Out C₄:C₄	448		C4:C4.2C28	448,136
C₄:C₄.₃C₂₈ = C₇xD₄:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	224		C4:C4.3C28	448,129
C₄:C₄.₄C₂₈ = C₇xQ₈:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	448		C4:C4.4C28	448,130
C₄:C₄.₅C₂₈ = C₇xC₄².₆C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	224		C4:C4.5C28	448,832
C₄:C₄.₆C₂₈ = C₇xC₄².₇C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	224		C4:C4.6C28	448,841
C₄:C₄.₇C₂₈ = C₇xC₈:₉D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	224		C4:C4.7C28	448,843
C₄:C₄.₈C₂₈ = C₇xC₈:₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	224		C4:C4.8C28	448,844
C₄:C₄.₉C₂₈ = C₇xC₈:₄Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄:C₄	448		C4:C4.9C28	448,854
C₄:C₄.₁₀C₂₈ = C₇xC₈o₂M₄(2)	φ: trivial image	224		C4:C4.10C28	448,813
C₄:C₄.₁₁C₂₈ = D₄xC₅₆	φ: trivial image	224		C4:C4.11C28	448,842
C₄:C₄.₁₂C₂₈ = Q₈xC₅₆	φ: trivial image	448		C4:C4.12C28	448,853

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