Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄.₄D₄

Direct product G=N×Q with N=C₇ and Q=D₄.₄D₄

		d	ρ	Label	ID
C₇×D₄.₄D₄		112	4	C7xD4.4D4	448,880

Semidirect products G=N:Q with N=C₇ and Q=D₄.₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄.₄D₄) = D₂₈.₃D₄	φ: D₄.₄D₄/C₄.D₄ → C₂ ⊆ Aut C₇	112	8+	C7:1(D4.4D4)	448,283
C₇⋊₂(D₄.₄D₄) = C₈.₂₁D₂₈	φ: D₄.₄D₄/C₈.C₄ → C₂ ⊆ Aut C₇	112	4+	C7:2(D4.4D4)	448,431
C₇⋊₃(D₄.₄D₄) = D₄.₄D₂₈	φ: D₄.₄D₄/C₈○D₄ → C₂ ⊆ Aut C₇	112	4+	C7:3(D4.4D4)	448,676
C₇⋊₄(D₄.₄D₄) = C₅₆.₂₃D₄	φ: D₄.₄D₄/C₂×D₈ → C₂ ⊆ Aut C₇	112	4	C7:4(D4.4D4)	448,694
C₇⋊₅(D₄.₄D₄) = M₄(2).D₁₄	φ: D₄.₄D₄/C₈⋊C₂² → C₂ ⊆ Aut C₇	112	8+	C7:5(D4.4D4)	448,733

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