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

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₂₈

		d	ρ	Label	ID
C₄⋊C₄×C₂₈		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 = C₇×C₂².SD₁₆	φ: C₂₈/C₇ → C₄ ⊆ Out C₄⋊C₄	112		C4:C4:1C28	448,131
C₄⋊C₄⋊₂C₂₈ = C₇×C₂³.₃₁D₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₄⋊C₄	112		C4:C4:2C28	448,132
C₄⋊C₄⋊₃C₂₈ = C₇×C₄²⋊₆C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:3C28	448,143
C₄⋊C₄⋊₄C₂₈ = C₇×C₂².₄Q₁₆	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4:4C28	448,144
C₄⋊C₄⋊₅C₂₈ = C₇×C₂³.₆₃C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4:5C28	448,795
C₄⋊C₄⋊₆C₂₈ = C₇×C₂³.₆₅C₂³	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 = C₇×C₄².₂C₂²	φ: C₂₈/C₇ → C₄ ⊆ Out C₄⋊C₄	448		C4:C4.1C28	448,134
C₄⋊C₄.₂C₂₈ = C₇×C₄.₁₀D₈	φ: C₂₈/C₇ → C₄ ⊆ Out C₄⋊C₄	448		C4:C4.2C28	448,136
C₄⋊C₄.₃C₂₈ = C₇×D₄⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.3C28	448,129
C₄⋊C₄.₄C₂₈ = C₇×Q₈⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4.4C28	448,130
C₄⋊C₄.₅C₂₈ = C₇×C₄².₆C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.5C28	448,832
C₄⋊C₄.₆C₂₈ = C₇×C₄².₇C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.6C28	448,841
C₄⋊C₄.₇C₂₈ = C₇×C₈⋊₉D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.7C28	448,843
C₄⋊C₄.₈C₂₈ = C₇×C₈⋊₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.8C28	448,844
C₄⋊C₄.₉C₂₈ = C₇×C₈⋊₄Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄⋊C₄	448		C4:C4.9C28	448,854
C₄⋊C₄.₁₀C₂₈ = C₇×C₈○₂M₄(2)	φ: trivial image	224		C4:C4.10C28	448,813
C₄⋊C₄.₁₁C₂₈ = D₄×C₅₆	φ: trivial image	224		C4:C4.11C28	448,842
C₄⋊C₄.₁₂C₂₈ = Q₈×C₅₆	φ: trivial image	448		C4:C4.12C28	448,853

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