Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²⋊Q₁₆

Direct product G=N×Q with N=C₇ and Q=C₂²⋊Q₁₆

		d	ρ	Label	ID
C₇×C₂²⋊Q₁₆		224		C7xC2^2:Q16	448,859

Semidirect products G=N:Q with N=C₇ and Q=C₂²⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²⋊Q₁₆) = C₂²⋊Dic₂₈	φ: C₂²⋊Q₁₆/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^2:Q16)	448,273
C₇⋊₂(C₂²⋊Q₁₆) = D₁₄⋊₄Q₁₆	φ: C₂²⋊Q₁₆/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^2:Q16)	448,342
C₇⋊₃(C₂²⋊Q₁₆) = Dic₁₄.₃₇D₄	φ: C₂²⋊Q₁₆/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^2:Q16)	448,584
C₇⋊₄(C₂²⋊Q₁₆) = D₁₄⋊₅Q₁₆	φ: C₂²⋊Q₁₆/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224		C7:4(C2^2:Q16)	448,720
C₇⋊₅(C₂²⋊Q₁₆) = (C₂×C₁₄)⋊₈Q₁₆	φ: C₂²⋊Q₁₆/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C2^2:Q16)	448,762

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