Extensions 1→N→G→Q→1 with N=C₈.C₂² and Q=D₇

Direct product G=N×Q with N=C₈.C₂² and Q=D₇

		d	ρ	Label	ID
D₇×C₈.C₂²		112	8-	D7xC8.C2^2	448,1229

Semidirect products G=N:Q with N=C₈.C₂² and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁D₇ = D₂₈.₃₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₂²	112	8+	C8.C2^2:1D7	448,736
C₈.C₂²⋊₂D₇ = M₄(2).₁₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₂²	112	8+	C8.C2^2:2D7	448,737
C₈.C₂²⋊₃D₇ = D₂₈.₄₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₂²	112	8-	C8.C2^2:3D7	448,739
C₈.C₂²⋊₄D₇ = C₅₆.C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₂²	112	8+	C8.C2^2:4D7	448,1231
C₈.C₂²⋊₅D₇ = D₂₈.₄₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₂²	224	8-	C8.C2^2:5D7	448,1232
C₈.C₂²⋊₆D₇ = D₅₆⋊C₂²	φ: trivial image	112	8+	C8.C2^2:6D7	448,1230

Non-split extensions G=N.Q with N=C₈.C₂² and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂².D₇ = M₄(2).₁₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈.C₂²	224	8-	C8.C2^2.D7	448,738

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