Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²×C₄⋊C₄

Direct product G=N×Q with N=C₇ and Q=C₂²×C₄⋊C₄

		d	ρ	Label	ID
C₄⋊C₄×C₂×C₁₄		448		C4:C4xC2xC14	448,1296

Semidirect products G=N:Q with N=C₇ and Q=C₂²×C₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²×C₄⋊C₄) = C₂×D₇×C₄⋊C₄	φ: C₂²×C₄⋊C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C2^2xC4:C4)	448,954
C₇⋊₂(C₂²×C₄⋊C₄) = C₂²×Dic₇⋊C₄	φ: C₂²×C₄⋊C₄/C₂³×C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2^2xC4:C4)	448,1236
C₇⋊₃(C₂²×C₄⋊C₄) = C₂²×C₄⋊Dic₇	φ: C₂²×C₄⋊C₄/C₂³×C₄ → C₂ ⊆ Aut C₇	448		C7:3(C2^2xC4:C4)	448,1238

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