Extensions 1→N→G→Q→1 with N=C₂³xC₇:C₃ and Q=C₂

Direct product G=NxQ with N=C₂³xC₇:C₃ and Q=C₂

		d	ρ	Label	ID
C₂⁴xC₇:C₃		112		C2^4xC7:C3	336,220

Semidirect products G=N:Q with N=C₂³xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xC₇:C₃):₁C₂ = C₂xDic₇:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³xC₇:C₃	56		(C2^3xC7:C3):1C2	336,130
(C₂³xC₇:C₃):₂C₂ = C₂³xF₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xC₇:C₃	56		(C2^3xC7:C3):2C2	336,216
(C₂³xC₇:C₃):₃C₂ = C₂xD₄xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³xC₇:C₃	56		(C2^3xC7:C3):3C2	336,165

Non-split extensions G=N.Q with N=C₂³xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xC₇:C₃).₁C₂ = C₂³.₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xC₇:C₃	56		(C2^3xC7:C3).1C2	336,22
(C₂³xC₇:C₃).₂C₂ = C₂²xC₇:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³xC₇:C₃	112		(C2^3xC7:C3).2C2	336,129
(C₂³xC₇:C₃).₃C₂ = C₂²:C₄xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³xC₇:C₃	56		(C2^3xC7:C3).3C2	336,49
(C₂³xC₇:C₃).₄C₂ = C₂²xC₄xC₇:C₃	φ: trivial image	112		(C2^3xC7:C3).4C2	336,164

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