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

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

		d	ρ	Label	ID
C₄²×C₇⋊C₃		112		C4^2xC7:C3	336,48

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₇⋊C₃)⋊₁C₄ = C₂₈⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3):1C4	336,16
(C₄×C₇⋊C₃)⋊₂C₄ = C₄×C₇⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3):2C4	336,14
(C₄×C₇⋊C₃)⋊₃C₄ = C₄⋊C₄×C₇⋊C₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3):3C4	336,50

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₇⋊C₃).₁C₄ = C₂₈.C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).1C4	336,13
(C₄×C₇⋊C₃).₂C₄ = C₇⋊C₄₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112	6	(C4xC7:C3).2C4	336,1
(C₄×C₇⋊C₃).₃C₄ = C₂×C₇⋊C₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3).3C4	336,12
(C₄×C₇⋊C₃).₄C₄ = M₄(2)×C₇⋊C₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).4C4	336,52
(C₄×C₇⋊C₃).₅C₄ = C₁₆×C₇⋊C₃	φ: trivial image	112	3	(C4xC7:C3).5C4	336,2
(C₄×C₇⋊C₃).₆C₄ = C₂×C₈×C₇⋊C₃	φ: trivial image	112		(C4xC7:C3).6C4	336,51

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