Extensions 1→N→G→Q→1 with N=C₂³×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₂³×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₇⋊C₃		112		C2^4xC7:C3	336,220

Semidirect products G=N:Q with N=C₂³×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×C₇⋊C₃)⋊₁C₂ = C₂×Dic₇⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×C₇⋊C₃	56		(C2^3xC7:C3):1C2	336,130
(C₂³×C₇⋊C₃)⋊₂C₂ = C₂³×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×C₇⋊C₃	56		(C2^3xC7:C3):2C2	336,216
(C₂³×C₇⋊C₃)⋊₃C₂ = C₂×D₄×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×C₇⋊C₃	56		(C2^3xC7:C3):3C2	336,165

Non-split extensions G=N.Q with N=C₂³×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×C₇⋊C₃).₁C₂ = C₂³.₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×C₇⋊C₃	56		(C2^3xC7:C3).1C2	336,22
(C₂³×C₇⋊C₃).₂C₂ = C₂²×C₇⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×C₇⋊C₃	112		(C2^3xC7:C3).2C2	336,129
(C₂³×C₇⋊C₃).₃C₂ = C₂²⋊C₄×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×C₇⋊C₃	56		(C2^3xC7:C3).3C2	336,49
(C₂³×C₇⋊C₃).₄C₂ = C₂²×C₄×C₇⋊C₃	φ: trivial image	112		(C2^3xC7:C3).4C2	336,164

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