Extensions 1→N→G→Q→1 with N=C₇ and Q=D₈⋊C₂²

Direct product G=N×Q with N=C₇ and Q=D₈⋊C₂²

		d	ρ	Label	ID
C₇×D₈⋊C₂²		112	4	C7xD8:C2^2	448,1358

Semidirect products G=N:Q with N=C₇ and Q=D₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₈⋊C₂²) = C₅₆.₉C₂³	φ: D₈⋊C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₇	112	4	C7:1(D8:C2^2)	448,1201
C₇⋊₂(D₈⋊C₂²) = D₈⋊₁₀D₁₄	φ: D₈⋊C₂²/C₄○D₈ → C₂ ⊆ Aut C₇	112	4	C7:2(D8:C2^2)	448,1221
C₇⋊₃(D₈⋊C₂²) = SD₁₆⋊D₁₄	φ: D₈⋊C₂²/C₈⋊C₂² → C₂ ⊆ Aut C₇	112	8-	C7:3(D8:C2^2)	448,1226
C₇⋊₄(D₈⋊C₂²) = D₅₆⋊C₂²	φ: D₈⋊C₂²/C₈.C₂² → C₂ ⊆ Aut C₇	112	8+	C7:4(D8:C2^2)	448,1230
C₇⋊₅(D₈⋊C₂²) = C₂₈.C₂⁴	φ: D₈⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:5(D8:C2^2)	448,1275

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