Extensions 1→N→G→Q→1 with N=C₂³xC₁₄ and Q=C₄

Direct product G=NxQ with N=C₂³xC₁₄ and Q=C₄

		d	ρ	Label	ID
C₂⁴xC₂₈		448		C2^4xC28	448,1385

Semidirect products G=N:Q with N=C₂³xC₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₁₄):₁C₄ = C₇xC₂wrC₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	56	4	(C2^3xC14):1C4	448,155
(C₂³xC₁₄):₂C₄ = C₁₄xC₂³:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14):2C4	448,817
(C₂³xC₁₄):₃C₄ = C₂⁴:Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	56	4	(C2^3xC14):3C4	448,93
(C₂³xC₁₄):₄C₄ = C₂xC₂³:Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14):4C4	448,753
(C₂³xC₁₄):₅C₄ = C₇xC₂⁴:₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14):5C4	448,787
(C₂³xC₁₄):₆C₄ = C₂²:C₄xC₂xC₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	224		(C2^3xC14):6C4	448,1295
(C₂³xC₁₄):₇C₄ = C₂⁵.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14):7C4	448,781
(C₂³xC₁₄):₈C₄ = C₂²xC₂³.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	224		(C2^3xC14):8C4	448,1292
(C₂³xC₁₄):₉C₄ = C₂⁴xDic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	448		(C2^3xC14):9C4	448,1383

Non-split extensions G=N.Q with N=C₂³xC₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₁₄).₁C₄ = C₇xC₂³:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14).1C4	448,127
(C₂³xC₁₄).₂C₄ = C₁₄xC₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14).2C4	448,819
(C₂³xC₁₄).₃C₄ = C₂⁴.Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14).3C4	448,82
(C₂³xC₁₄).₄C₄ = C₂xC₂₈.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14).4C4	448,750
(C₂³xC₁₄).₅C₄ = C₁₄xC₂²:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	224		(C2^3xC14).5C4	448,814
(C₂³xC₁₄).₆C₄ = C₇xC₂⁴.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14).6C4	448,815
(C₂³xC₁₄).₇C₄ = M₄(2)xC₂xC₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	224		(C2^3xC14).7C4	448,1349
(C₂³xC₁₄).₈C₄ = C₂xC₂₈.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	224		(C2^3xC14).8C4	448,740
(C₂³xC₁₄).₉C₄ = C₂⁴.₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	112		(C2^3xC14).9C4	448,741
(C₂³xC₁₄).₁₀C₄ = C₂³xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	448		(C2^3xC14).10C4	448,1233
(C₂³xC₁₄).₁₁C₄ = C₂²xC₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂³xC₁₄	224		(C2^3xC14).11C4	448,1234

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