Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄.Q₈

Direct product G=N×Q with N=C₇ and Q=D₄.Q₈

		d	ρ	Label	ID
C₇×D₄.Q₈		224		C7xD4.Q8	448,886

Semidirect products G=N:Q with N=C₇ and Q=D₄.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄.Q₈) = D₄.Dic₁₄	φ: D₄.Q₈/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(D4.Q8)	448,297
C₇⋊₂(D₄.Q₈) = D₄.₂Dic₁₄	φ: D₄.Q₈/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(D4.Q8)	448,300
C₇⋊₃(D₄.Q₈) = D₂₈.₃Q₈	φ: D₄.Q₈/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:3(D4.Q8)	448,381
C₇⋊₄(D₄.Q₈) = D₂₈.Q₈	φ: D₄.Q₈/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:4(D4.Q8)	448,405
C₇⋊₅(D₄.Q₈) = D₂₈.₂Q₈	φ: D₄.Q₈/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:5(D4.Q8)	448,425
C₇⋊₆(D₄.Q₈) = D₄.₃Dic₁₄	φ: D₄.Q₈/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:6(D4.Q8)	448,543
C₇⋊₇(D₄.Q₈) = D₂₈.₄Q₈	φ: D₄.Q₈/C₄².C₂ → C₂ ⊆ Aut C₇	224		C7:7(D4.Q8)	448,600

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