Extensions 1→N→G→Q→1 with N=Dic₇ and Q=Q₈

Direct product G=NxQ with N=Dic₇ and Q=Q₈

		d	ρ	Label	ID
Q₈xDic₇		224		Q8xDic7	224,140

Semidirect products G=N:Q with N=Dic₇ and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
Dic₇:₁Q₈ = C₂₈:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₇	224	Dic7:1Q8	224,83
Dic₇:₂Q₈ = Dic₇:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₇	224	Dic7:2Q8	224,139
Dic₇:₃Q₈ = Dic₇:₃Q₈	φ: trivial image	224	Dic7:3Q8	224,82

Non-split extensions G=N.Q with N=Dic₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.Q₈ = Dic₇.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₇	224		Dic7.Q8	224,84

Extensions 1→N→G→Q→1 with N=Dic7 and Q=Q8