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		56	8+	D7xC8:C2^2	448,1225

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⋊₁₈D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₂²	56	8+	C8:C2^2:1D7	448,732
C₈⋊C₂²⋊₂D₇ = M₄(2).D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	8+	C8:C2^2:2D7	448,733
C₈⋊C₂²⋊₃D₇ = D₂₈.₃₈D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	8-	C8:C2^2:3D7	448,735
C₈⋊C₂²⋊₄D₇ = D₈⋊₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	8+	C8:C2^2:4D7	448,1227
C₈⋊C₂²⋊₅D₇ = D₈⋊₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	8-	C8:C2^2:5D7	448,1228
C₈⋊C₂²⋊₆D₇ = SD₁₆⋊D₁₄	φ: trivial image	112	8-	C8:C2^2:6D7	448,1226

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).₁₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	8-	C8:C2^2.D7	448,734

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