Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₄

Direct product G=N×Q with N=Q₈ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈		32		C4xQ8	32,26

Semidirect products G=N:Q with N=Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁C₄ = Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈	32		Q8:1C4	32,10
Q₈⋊₂C₄ = C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈	8	2	Q8:2C4	32,11

Non-split extensions G=N.Q with N=Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₄ = C₈○D₄	φ: trivial image	16	2	Q8.C4	32,38

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C4