Extensions 1→N→G→Q→1 with N=D₄⋊₂D₇ and Q=C₄

Direct product G=N×Q with N=D₄⋊₂D₇ and Q=C₄

		d	ρ	Label	ID
C₄×D₄⋊₂D₇		224		C4xD4:2D7	448,989

Semidirect products G=N:Q with N=D₄⋊₂D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₇⋊₁C₄ = D₄⋊(C₄×D₇)	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7:1C4	448,305
D₄⋊₂D₇⋊₂C₄ = D₄⋊₂D₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7:2C4	448,306
D₄⋊₂D₇⋊₃C₄ = D₇×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂D₇	56	4	D4:2D7:3C4	448,354
D₄⋊₂D₇⋊₄C₄ = C₄²⋊D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂D₇	112	4	D4:2D7:4C4	448,355
D₄⋊₂D₇⋊₅C₄ = C₄².₁₀₈D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂D₇	224		D4:2D7:5C4	448,999

Non-split extensions G=N.Q with N=D₄⋊₂D₇ and Q=C₄

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

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