Extensions 1→N→G→Q→1 with N=C₈.C₄ and Q=D₇

Direct product G=N×Q with N=C₈.C₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₈.C₄		112	4	D7xC8.C4	448,426

Semidirect products G=N:Q with N=C₈.C₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁D₇ = D₅₆.C₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	112	4+	C8.C4:1D7	448,52
C₈.C₄⋊₂D₇ = Dic₂₈.C₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	224	4	C8.C4:2D7	448,54
C₈.C₄⋊₃D₇ = M₄(2).₂₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:3D7	448,427
C₈.C₄⋊₄D₇ = D₅₆⋊₁₀C₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:4D7	448,428
C₈.C₄⋊₅D₇ = C₈.₂₀D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	224	4-	C8.C4:5D7	448,430
C₈.C₄⋊₆D₇ = C₈.₂₁D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	112	4+	C8.C4:6D7	448,431
C₈.C₄⋊₇D₇ = C₈.₂₄D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:7D7	448,432
C₈.C₄⋊₈D₇ = D₅₆⋊₇C₄	φ: trivial image	112	4	C8.C4:8D7	448,429

Non-split extensions G=N.Q with N=C₈.C₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄.₁D₇ = C₈.₇Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	224	4	C8.C4.1D7	448,50
C₈.C₄.₂D₇ = C₈.Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4.2D7	448,51
C₈.C₄.₃D₇ = C₅₆.₈D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₄	224	4-	C8.C4.3D7	448,53

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