Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄×C₄○D₄

Direct product G=N×Q with N=C₇ and Q=C₄×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂₈		224		C4oD4xC28	448,1300

Semidirect products G=N:Q with N=C₇ and Q=C₄×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄×C₄○D₄) = C₄×C₄○D₂₈	φ: C₄×C₄○D₄/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:1(C4xC4oD4)	448,927
C₇⋊₂(C₄×C₄○D₄) = C₄².₁₈₈D₁₄	φ: C₄×C₄○D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:2(C4xC4oD4)	448,975
C₇⋊₃(C₄×C₄○D₄) = C₄×D₄⋊₂D₇	φ: C₄×C₄○D₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:3(C4xC4oD4)	448,989
C₇⋊₄(C₄×C₄○D₄) = C₄×Q₈⋊₂D₇	φ: C₄×C₄○D₄/C₄×Q₈ → C₂ ⊆ Aut C₇	224		C7:4(C4xC4oD4)	448,1026
C₇⋊₅(C₄×C₄○D₄) = C₄○D₄×Dic₇	φ: C₄×C₄○D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:5(C4xC4oD4)	448,1279

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