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

Direct product G=NxQ with N=D₄ and Q=C₇:C₈

		d	ρ	Label	ID
D₄xC₇: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

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