Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=Q₈

Direct product G=N×Q with N=C₄×D₇ and Q=Q₈

		d	ρ	Label	ID
C₄×Q₈×D₇		224		C4xQ8xD7	448,1024

Semidirect products G=N:Q with N=C₄×D₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁Q₈ = C₄².₁₄₈D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7):1Q8	448,1142
(C₄×D₇)⋊₂Q₈ = C₄².₁₇₄D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7):2Q8	448,1182
(C₄×D₇)⋊₃Q₈ = C₄².₂₃₆D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):3Q8	448,1141
(C₄×D₇)⋊₄Q₈ = D₇×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):4Q8	448,1176
(C₄×D₇)⋊₅Q₈ = C₄².₂₄₁D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):5Q8	448,1181
(C₄×D₇)⋊₆Q₈ = C₄².₂₃₂D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7):6Q8	448,1031

Non-split extensions G=N.Q with N=C₄×D₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁Q₈ = C₈⋊(C₄×D₇)	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).1Q8	448,395
(C₄×D₇).₂Q₈ = C₅₆⋊(C₂×C₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).2Q8	448,415
(C₄×D₇).₃Q₈ = D₇×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).3Q8	448,393
(C₄×D₇).₄Q₈ = (C₈×D₇)⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).4Q8	448,394
(C₄×D₇).₅Q₈ = D₇×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).5Q8	448,413
(C₄×D₇).₆Q₈ = C₈.₂₇(C₄×D₇)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).6Q8	448,414
(C₄×D₇).₇Q₈ = D₇×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).7Q8	448,1140
(C₄×D₇).₈Q₈ = C₂₈⋊M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).8Q8	448,371
(C₄×D₇).₉Q₈ = C₄².₃₀D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₇	224		(C4xD7).9Q8	448,373
(C₄×D₇).₁₀Q₈ = D₇×C₄⋊C₈	φ: trivial image	224		(C4xD7).10Q8	448,366

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