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Extensions 1→N→G→Q→1 with N=2₊⁽¹⁺⁴⁾ and Q=C₁₄

Direct product G=N×Q with N=2₊⁽¹⁺⁴⁾ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×2₊⁽¹⁺⁴⁾		112		C14xES+(2,2)	448,1389

Semidirect products G=N:Q with N=2₊⁽¹⁺⁴⁾ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
2₊⁽¹⁺⁴⁾⋊₁C₁₄ = C₇×D₄⋊₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	56	4	ES+(2,2):1C14	448,861
2₊⁽¹⁺⁴⁾⋊₂C₁₄ = C₇×C₂≀C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	56	4	ES+(2,2):2C14	448,865
2₊⁽¹⁺⁴⁾⋊₃C₁₄ = C₇×D₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	112	4	ES+(2,2):3C14	448,1359
2₊⁽¹⁺⁴⁾⋊₄C₁₄ = C₇×D₄○SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	112	4	ES+(2,2):4C14	448,1360
2₊⁽¹⁺⁴⁾⋊₅C₁₄ = C₇×C₂.C₂⁵	φ: trivial image	112	4	ES+(2,2):5C14	448,1391

Non-split extensions G=N.Q with N=2₊⁽¹⁺⁴⁾ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
2₊⁽¹⁺⁴⁾.₁C₁₄ = C₇×D₄.₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	112	4	ES+(2,2).1C14	448,863
2₊⁽¹⁺⁴⁾.₂C₁₄ = C₇×C₂³.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	112	4	ES+(2,2).2C14	448,866

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