Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄²⋊C₂²

Direct product G=N×Q with N=C₇ and Q=C₄²⋊C₂²

		d	ρ	Label	ID
C₇×C₄²⋊C₂²		112	4	C7xC4^2:C2^2	448,829

Semidirect products G=N:Q with N=C₇ and Q=C₄²⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄²⋊C₂²) = C₄²⋊D₁₄	φ: C₄²⋊C₂²/C₄≀C₂ → C₂ ⊆ Aut C₇	112	4	C7:1(C4^2:C2^2)	448,355
C₇⋊₂(C₄²⋊C₂²) = C₄²⋊₄D₁₄	φ: C₄²⋊C₂²/C₄²⋊C₂ → C₂ ⊆ Aut C₇	112	4	C7:2(C4^2:C2^2)	448,539
C₇⋊₃(C₄²⋊C₂²) = C₂³.₂₀D₂₈	φ: C₄²⋊C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₇	112	4	C7:3(C4^2:C2^2)	448,673
C₇⋊₄(C₄²⋊C₂²) = (D₄×C₁₄)⋊₉C₄	φ: C₄²⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:4(C4^2:C2^2)	448,770

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