Extensions 1→N→G→Q→1 with N=D₄×D₇ and Q=C₄

Direct product G=N×Q with N=D₄×D₇ and Q=C₄

		d	ρ	Label	ID
C₄×D₄×D₇		112		C4xD4xD7	448,997

Semidirect products G=N:Q with N=D₄×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₇)⋊₁C₄ = D₇×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):1C4	448,303
(D₄×D₇)⋊₂C₄ = (D₄×D₇)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):2C4	448,304
(D₄×D₇)⋊₃C₄ = D₇×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×D₇	56	4	(D4xD7):3C4	448,354
(D₄×D₇)⋊₄C₄ = C₄²⋊D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×D₇	112	4	(D4xD7):4C4	448,355
(D₄×D₇)⋊₅C₄ = C₄²⋊₁₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):5C4	448,998

Non-split extensions G=N.Q with N=D₄×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₇).C₄ = C₅₆.₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₄×D₇	112	4	(D4xD7).C4	448,1203
(D₄×D₇).₂C₄ = D₇×C₈○D₄	φ: trivial image	112	4	(D4xD7).2C4	448,1202

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