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Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×2_-⁽¹⁺⁴⁾

Direct product G=N×Q with N=C₇ and Q=C₂×2_-⁽¹⁺⁴⁾

		d	ρ	Label	ID
C₁₄×2_-⁽¹⁺⁴⁾		224		C14xES-(2,2)	448,1390

Semidirect products G=N:Q with N=C₇ and Q=C₂×2_-⁽¹⁺⁴⁾

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×2_-⁽¹⁺⁴⁾) = C₂×Q₈.₁₀D₁₄	φ: C₂×2_-⁽¹⁺⁴⁾/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:1(C2xES-(2,2))	448,1374
C₇⋊₂(C₂×2_-⁽¹⁺⁴⁾) = C₂×D₄.₁₀D₁₄	φ: C₂×2_-⁽¹⁺⁴⁾/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:2(C2xES-(2,2))	448,1377
C₇⋊₃(C₂×2_-⁽¹⁺⁴⁾) = D₇×2_-⁽¹⁺⁴⁾	φ: C₂×2_-⁽¹⁺⁴⁾/2_-⁽¹⁺⁴⁾ → C₂ ⊆ Aut C₇	112	8-	C7:3(C2xES-(2,2))	448,1381

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Extensions 1→N→G→Q→1 with N=C7 and Q=C2×2- (1+4)