Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₂₈

Direct product G=N×Q with N=C₄○D₄ and Q=C₂₈

		d	ρ	Label	ID
C₄○D₄×C₂₈		224		C4oD4xC28	448,1300

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₂₈ = C₇×C₂³.₂₄D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:1C28	448,824
C₄○D₄⋊₂C₂₈ = C₇×C₂³.₃₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:2C28	448,825
C₄○D₄⋊₃C₂₈ = C₁₄×C₄≀C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	112		C4oD4:3C28	448,828
C₄○D₄⋊₄C₂₈ = C₇×C₄²⋊C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4:4C28	448,829
C₄○D₄⋊₅C₂₈ = C₇×C₂³.₃₃C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:5C28	448,1303

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₂₈ = C₇×D₄.C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	224	2	C4oD4.1C28	448,154
C₄○D₄.₂C₂₈ = C₇×Q₈○M₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4.2C28	448,1351
C₄○D₄.₃C₂₈ = C₇×D₄○C₁₆	φ: trivial image	224	2	C4oD4.3C28	448,912
C₄○D₄.₄C₂₈ = C₁₄×C₈○D₄	φ: trivial image	224		C4oD4.4C28	448,1350

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