Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅×A₄

Direct product G=N×Q with N=Q₈ and Q=C₅×A₄

		d	ρ	Label	ID
C₅×Q₈×A₄		120	6	C5xQ8xA4	480,1129

Semidirect products G=N:Q with N=Q₈ and Q=C₅×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₅×A₄) = C₅×Q₈⋊A₄	φ: C₅×A₄/C₂×C₁₀ → C₃ ⊆ Out Q₈	120	6	Q8:1(C5xA4)	480,1133
Q₈⋊₂(C₅×A₄) = C₅×C₂³⋊A₄	φ: C₅×A₄/C₂×C₁₀ → C₃ ⊆ Out Q₈	40	4	Q8:2(C5xA4)	480,1134

Non-split extensions G=N.Q with N=Q₈ and Q=C₅×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₅×A₄) = C₅×Q₈.A₄	φ: trivial image	120	4	Q8.(C5xA4)	480,1131

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×A4