Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄.D₄

Direct product G=N×Q with N=C₇ and Q=D₄.D₄

		d	ρ	Label	ID
C₇×D₄.D₄		224		C7xD4.D4	448,869

Semidirect products G=N:Q with N=C₇ and Q=D₄.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄.D₄) = Dic₇⋊SD₁₆	φ: D₄.D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(D4.D4)	448,352
C₇⋊₂(D₄.D₄) = C₂₈⋊SD₁₆	φ: D₄.D₄/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(D4.D4)	448,375
C₇⋊₃(D₄.D₄) = D₄.₂D₂₈	φ: D₄.D₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:3(D4.D4)	448,553
C₇⋊₄(D₄.D₄) = C₂₈⋊₅SD₁₆	φ: D₄.D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:4(D4.D4)	448,617
C₇⋊₅(D₄.D₄) = Dic₇⋊₃SD₁₆	φ: D₄.D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:5(D4.D4)	448,696

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