Extensions 1→N→G→Q→1 with N=C₂³×C₁₀ and Q=C₂

Direct product G=N×Q with N=C₂³×C₁₀ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₁₀		160		C2^4xC10	160,238

Semidirect products G=N:Q with N=C₂³×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₀)⋊₁C₂ = C₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	40		(C2^3xC10):1C2	160,181
(C₂³×C₁₀)⋊₂C₂ = D₄×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):2C2	160,229
(C₂³×C₁₀)⋊₃C₂ = C₂⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	40		(C2^3xC10):3C2	160,174
(C₂³×C₁₀)⋊₄C₂ = C₂²×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):4C2	160,227
(C₂³×C₁₀)⋊₅C₂ = D₅×C₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):5C2	160,237

Non-split extensions G=N.Q with N=C₂³×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₀).₁C₂ = C₁₀×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).1C2	160,176
(C₂³×C₁₀).₂C₂ = C₂×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).2C2	160,173
(C₂³×C₁₀).₃C₂ = C₂³×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).3C2	160,226

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁