Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄⋊D₈

Direct product G=N×Q with N=C₇ and Q=C₄⋊D₈

		d	ρ	Label	ID
C₇×C₄⋊D₈		224		C7xC4:D8	448,867

Semidirect products G=N:Q with N=C₇ and Q=C₄⋊D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄⋊D₈) = D₂₈⋊₃D₄	φ: C₄⋊D₈/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C4:D8)	448,320
C₇⋊₂(C₄⋊D₈) = C₄⋊D₅₆	φ: C₄⋊D₈/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(C4:D8)	448,377
C₇⋊₃(C₄⋊D₈) = C₂₈⋊₇D₈	φ: C₄⋊D₈/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:3(C4:D8)	448,549
C₇⋊₄(C₄⋊D₈) = C₂₈⋊₂D₈	φ: C₄⋊D₈/C₄⋊₁D₄ → C₂ ⊆ Aut C₇	224		C7:4(C4:D8)	448,606
C₇⋊₅(C₄⋊D₈) = Dic₇⋊D₈	φ: C₄⋊D₈/C₂×D₈ → C₂ ⊆ Aut C₇	224		C7:5(C4:D8)	448,684

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