Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Q₈

Direct product G=N×Q with N=C₁₀ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₁₀		80		Q8xC10	80,47

Semidirect products G=N:Q with N=C₁₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊Q₈ = C₂×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₀	80		C10:Q8	80,35

Non-split extensions G=N.Q with N=C₁₀ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₁₀.₁Q₈ = C₁₀.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₀	80	C10.1Q8	80,12
C₁₀.₂Q₈ = C₄⋊Dic₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₀	80	C10.2Q8	80,13
C₁₀.₃Q₈ = C₅×C₄⋊C₄	central extension (φ=1)	80	C10.3Q8	80,22

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C10 and Q=Q8