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

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

		d	ρ	Label	ID
C₄×Q₈		32		C4xQ8	32,26

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Q₈ = C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄	32		C4:Q8	32,35

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

extension	φ:Q→Aut N	d	Label	ID
C₄.₁Q₈ = C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄	32	C4.1Q8	32,13
C₄.₂Q₈ = C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄	32	C4.2Q8	32,14
C₄.₃Q₈ = C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄	32	C4.3Q8	32,32
C₄.₄Q₈ = C₄⋊C₈	central extension (φ=1)	32	C4.4Q8	32,12

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