Extensions 1→N→G→Q→1 with N=C₄.D₄ and Q=D₇

Direct product G=N×Q with N=C₄.D₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₄.D₄		56	8+	D7xC4.D4	448,278

Semidirect products G=N:Q with N=C₄.D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊₁D₇ = D₂₈.₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.D₄	112	8-	C4.D4:1D7	448,280
C₄.D₄⋊₂D₇ = D₂₈⋊₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.D₄	56	8+	C4.D4:2D7	448,281
C₄.D₄⋊₃D₇ = D₂₈.₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.D₄	112	8-	C4.D4:3D7	448,282
C₄.D₄⋊₄D₇ = D₂₈.₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.D₄	112	8+	C4.D4:4D7	448,283
C₄.D₄⋊₅D₇ = C₂³.₃D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.D₄	56	8+	C4.D4:5D7	448,32
C₄.D₄⋊₆D₇ = M₄(2).₁₉D₁₄	φ: trivial image	112	8-	C4.D4:6D7	448,279

Non-split extensions G=N.Q with N=C₄.D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.D₇ = C₂³.₄D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.D₄	112	8-	C4.D4.D7	448,33

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