Extensions 1→N→G→Q→1 with N=C₄xD₇ and Q=Q₈

Direct product G=NxQ with N=C₄xD₇ and Q=Q₈

		d	ρ	Label	ID
C₄xQ₈xD₇		224		C4xQ8xD7	448,1024

Semidirect products G=N:Q with N=C₄xD₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇):₁Q₈ = C₄².₁₄₈D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₇	224		(C4xD7):1Q8	448,1142
(C₄xD₇):₂Q₈ = C₄².₁₇₄D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₇	224		(C4xD7):2Q8	448,1182
(C₄xD₇):₃Q₈ = C₄².₂₃₆D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):3Q8	448,1141
(C₄xD₇):₄Q₈ = D₇xC₄:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):4Q8	448,1176
(C₄xD₇):₅Q₈ = C₄².₂₄₁D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):5Q8	448,1181
(C₄xD₇):₆Q₈ = C₄².₂₃₂D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):6Q8	448,1031

Non-split extensions G=N.Q with N=C₄xD₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇).₁Q₈ = C₈:(C₄xD₇)	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₇	224		(C4xD7).1Q8	448,395
(C₄xD₇).₂Q₈ = C₅₆:(C₂xC₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₇	224		(C4xD7).2Q8	448,415
(C₄xD₇).₃Q₈ = D₇xC₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).3Q8	448,393
(C₄xD₇).₄Q₈ = (C₈xD₇):C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).4Q8	448,394
(C₄xD₇).₅Q₈ = D₇xC₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).5Q8	448,413
(C₄xD₇).₆Q₈ = C₈.₂₇(C₄xD₇)	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).6Q8	448,414
(C₄xD₇).₇Q₈ = D₇xC₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).7Q8	448,1140
(C₄xD₇).₈Q₈ = C₂₈:M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).8Q8	448,371
(C₄xD₇).₉Q₈ = C₄².₃₀D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).9Q8	448,373
(C₄xD₇).₁₀Q₈ = D₇xC₄:C₈	φ: trivial image	224		(C4xD7).10Q8	448,366

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