Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²⋊SD₁₆

Direct product G=N×Q with N=C₇ and Q=C₂²⋊SD₁₆

		d	ρ	Label	ID
C₇×C₂²⋊SD₁₆		112		C7xC2^2:SD16	448,858

Semidirect products G=N:Q with N=C₇ and Q=C₂²⋊SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²⋊SD₁₆) = D₂₈.₃₁D₄	φ: C₂²⋊SD₁₆/C₂²⋊C₈ → C₂ ⊆ Aut C₇	112		C7:1(C2^2:SD16)	448,265
C₇⋊₂(C₂²⋊SD₁₆) = D₄.₆D₂₈	φ: C₂²⋊SD₁₆/D₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C2^2:SD16)	448,310
C₇⋊₃(C₂²⋊SD₁₆) = D₂₈.₃₆D₄	φ: C₂²⋊SD₁₆/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	112		C7:3(C2^2:SD16)	448,580
C₇⋊₄(C₂²⋊SD₁₆) = D₁₄⋊₆SD₁₆	φ: C₂²⋊SD₁₆/C₂×SD₁₆ → C₂ ⊆ Aut C₇	112		C7:4(C2^2:SD16)	448,703
C₇⋊₅(C₂²⋊SD₁₆) = (C₇×D₄).₃₁D₄	φ: C₂²⋊SD₁₆/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:5(C2^2:SD16)	448,752

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