Extensions 1→N→G→Q→1 with N=C₂³×C₁₄ and Q=C₄

Direct product G=N×Q with N=C₂³×C₁₄ and Q=C₄

		d	ρ	Label	ID
C₂⁴×C₂₈		448		C2^4xC28	448,1385

Semidirect products G=N:Q with N=C₂³×C₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₄)⋊₁C₄ = C₇×C₂≀C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	56	4	(C2^3xC14):1C4	448,155
(C₂³×C₁₄)⋊₂C₄ = C₁₄×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):2C4	448,817
(C₂³×C₁₄)⋊₃C₄ = C₂⁴⋊Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	56	4	(C2^3xC14):3C4	448,93
(C₂³×C₁₄)⋊₄C₄ = C₂×C₂³⋊Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):4C4	448,753
(C₂³×C₁₄)⋊₅C₄ = C₇×C₂⁴⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):5C4	448,787
(C₂³×C₁₄)⋊₆C₄ = C₂²⋊C₄×C₂×C₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14):6C4	448,1295
(C₂³×C₁₄)⋊₇C₄ = C₂⁵.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):7C4	448,781
(C₂³×C₁₄)⋊₈C₄ = C₂²×C₂³.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14):8C4	448,1292
(C₂³×C₁₄)⋊₉C₄ = C₂⁴×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448		(C2^3xC14):9C4	448,1383

Non-split extensions G=N.Q with N=C₂³×C₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₄).₁C₄ = C₇×C₂³⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).1C4	448,127
(C₂³×C₁₄).₂C₄ = C₁₄×C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).2C4	448,819
(C₂³×C₁₄).₃C₄ = C₂⁴.Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).3C4	448,82
(C₂³×C₁₄).₄C₄ = C₂×C₂₈.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).4C4	448,750
(C₂³×C₁₄).₅C₄ = C₁₄×C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14).5C4	448,814
(C₂³×C₁₄).₆C₄ = C₇×C₂⁴.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).6C4	448,815
(C₂³×C₁₄).₇C₄ = M₄(2)×C₂×C₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14).7C4	448,1349
(C₂³×C₁₄).₈C₄ = C₂×C₂₈.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14).8C4	448,740
(C₂³×C₁₄).₉C₄ = C₂⁴.₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).9C4	448,741
(C₂³×C₁₄).₁₀C₄ = C₂³×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448		(C2^3xC14).10C4	448,1233
(C₂³×C₁₄).₁₁C₄ = C₂²×C₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14).11C4	448,1234

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