Extensions 1→N→G→Q→1 with N=D₄ and Q=C₇⋊C₈

Direct product G=N×Q with N=D₄ and Q=C₇⋊C₈

		d	ρ	Label	ID
D₄×C₇⋊C₈		224		D4xC7:C8	448,544

Semidirect products G=N:Q with N=D₄ and Q=C₇⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₇⋊C₈) = C₂₈.₅₇D₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Out D₄	224		D4:(C7:C8)	448,91

Non-split extensions G=N.Q with N=D₄ and Q=C₇⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₇⋊C₈) = C₅₆.₉₂D₄	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Out D₄	224	4	D4.(C7:C8)	448,118
D₄.₂(C₇⋊C₈) = C₅₆.₇₀C₂³	φ: trivial image	224	4	D4.2(C7:C8)	448,674

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Extensions 1→N→G→Q→1 with N=D4 and Q=C7⋊C8