Extensions 1→N→G→Q→1 with N=D₄xD₇ and Q=C₄

Direct product G=NxQ with N=D₄xD₇ and Q=C₄

		d	ρ	Label	ID
C₄xD₄xD₇		112		C4xD4xD7	448,997

Semidirect products G=N:Q with N=D₄xD₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xD₇):₁C₄ = D₇xD₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):1C4	448,303
(D₄xD₇):₂C₄ = (D₄xD₇):C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):2C4	448,304
(D₄xD₇):₃C₄ = D₇xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out D₄xD₇	56	4	(D4xD7):3C4	448,354
(D₄xD₇):₄C₄ = C₄²:D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄xD₇	112	4	(D4xD7):4C4	448,355
(D₄xD₇):₅C₄ = C₄²:₁₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):5C4	448,998

Non-split extensions G=N.Q with N=D₄xD₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xD₇).C₄ = C₅₆.₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₄xD₇	112	4	(D4xD7).C4	448,1203
(D₄xD₇).₂C₄ = D₇xC₈oD₄	φ: trivial image	112	4	(D4xD7).2C4	448,1202

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