Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂₈

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₂₈

		d	ρ	Label	ID
C₂²⋊C₄×C₂₈		224		C2^2:C4xC28	448,785

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₂₈ = C₇×C₂≀C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂²⋊C₄	56	4	C2^2:C4:1C28	448,155
C₂²⋊C₄⋊₂C₂₈ = C₇×C₂³.D₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂²⋊C₄	112	4	C2^2:C4:2C28	448,156
C₂²⋊C₄⋊₃C₂₈ = C₇×C₂³.₉D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:3C28	448,146
C₂²⋊C₄⋊₄C₂₈ = C₇×C₂³.₈Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4:4C28	448,793
C₂²⋊C₄⋊₅C₂₈ = C₇×C₂⁴.C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4:5C28	448,796

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₂₈ = C₇×M₄(2)⋊₄C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	112	4	C2^2:C4.1C28	448,148
C₂²⋊C₄.₂C₂₈ = C₇×C₄².₆C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.2C28	448,832
C₂²⋊C₄.₃C₂₈ = C₇×C₄².₇C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.3C28	448,841
C₂²⋊C₄.₄C₂₈ = C₇×C₈⋊₉D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.4C28	448,843
C₂²⋊C₄.₅C₂₈ = C₇×C₈⋊₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂²⋊C₄	224		C2^2:C4.5C28	448,844
C₂²⋊C₄.₆C₂₈ = C₇×C₈○₂M₄(2)	φ: trivial image	224		C2^2:C4.6C28	448,813
C₂²⋊C₄.₇C₂₈ = D₄×C₅₆	φ: trivial image	224		C2^2:C4.7C28	448,842

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