Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₂³⋊C₄

Direct product G=N×Q with N=C₇ and Q=C₂×C₂³⋊C₄

		d	ρ	Label	ID
C₁₄×C₂³⋊C₄		112		C14xC2^3:C4	448,817

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₂³⋊C₄) = D₇×C₂³⋊C₄	φ: C₂×C₂³⋊C₄/C₂³⋊C₄ → C₂ ⊆ Aut C₇	56	8+	C7:1(C2xC2^3:C4)	448,277
C₇⋊₂(C₂×C₂³⋊C₄) = C₂×C₂³.₁D₁₄	φ: C₂×C₂³⋊C₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C2xC2^3:C4)	448,488
C₇⋊₃(C₂×C₂³⋊C₄) = C₂×C₂³⋊Dic₇	φ: C₂×C₂³⋊C₄/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:3(C2xC2^3:C4)	448,753

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