Extensions 1→N→G→Q→1 with N=C₂²×C₇⋊C₃ and Q=C₄

Direct product G=N×Q with N=C₂²×C₇⋊C₃ and Q=C₄

		d	ρ	Label	ID
C₂²×C₄×C₇⋊C₃		112		C2^2xC4xC7:C3	336,164

Semidirect products G=N:Q with N=C₂²×C₇⋊C₃ and Q=C₄

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

Non-split extensions G=N.Q with N=C₂²×C₇⋊C₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₇⋊C₃).₁C₄ = C₂×C₇⋊C₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×C₇⋊C₃	112		(C2^2xC7:C3).1C4	336,12
(C₂²×C₇⋊C₃).₂C₄ = C₂₈.C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂²×C₇⋊C₃	56	6	(C2^2xC7:C3).2C4	336,13
(C₂²×C₇⋊C₃).₃C₄ = M₄(2)×C₇⋊C₃	φ: C₄/C₂ → C₂ ⊆ Out C₂²×C₇⋊C₃	56	6	(C2^2xC7:C3).3C4	336,52
(C₂²×C₇⋊C₃).₄C₄ = C₂×C₈×C₇⋊C₃	φ: trivial image	112		(C2^2xC7:C3).4C4	336,51

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