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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⁾		112		C14xES+(2,2)	448,1389

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×D₄⋊₆D₁₄	φ: C₂×2₊⁽¹⁺⁴⁾/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:1(C2xES+(2,2))	448,1371
C₇⋊₂(C₂×2₊⁽¹⁺⁴⁾) = C₂×D₄⋊₈D₁₄	φ: C₂×2₊⁽¹⁺⁴⁾/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112		C7:2(C2xES+(2,2))	448,1376
C₇⋊₃(C₂×2₊⁽¹⁺⁴⁾) = D₇×2₊⁽¹⁺⁴⁾	φ: C₂×2₊⁽¹⁺⁴⁾/2₊⁽¹⁺⁴⁾ → C₂ ⊆ Aut C₇	56	8+	C7:3(C2xES+(2,2))	448,1379

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