Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=D₅

Direct product G=N×Q with N=C₂×Q₈ and Q=D₅

		d	ρ	Label	ID
C₂×Q₈×D₅		80		C2xQ8xD5	160,220

Semidirect products G=N:Q with N=C₂×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁D₅ = C₂×Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):1D5	160,162
(C₂×Q₈)⋊₂D₅ = C₂₀.C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):2D5	160,163
(C₂×Q₈)⋊₃D₅ = D₁₀⋊₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):3D5	160,167
(C₂×Q₈)⋊₄D₅ = C₂₀.₂₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):4D5	160,168
(C₂×Q₈)⋊₅D₅ = Q₈.₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):5D5	160,222
(C₂×Q₈)⋊₆D₅ = C₂×Q₈⋊₂D₅	φ: trivial image	80		(C2xQ8):6D5	160,221

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁D₅ = Q₈⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).1D5	160,42
(C₂×Q₈).₂D₅ = C₂₀.₁₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8).2D5	160,43
(C₂×Q₈).₃D₅ = C₂×C₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).3D5	160,164
(C₂×Q₈).₄D₅ = Dic₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).4D5	160,165
(C₂×Q₈).₅D₅ = Q₈×Dic₅	φ: trivial image	160		(C2xQ8).5D5	160,166

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁