Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀.Q₈

Direct product G=N×Q with N=C₃ and Q=C₂₀.Q₈

		d	ρ	Label	ID
C₃×C₂₀.Q₈		480		C3xC20.Q8	480,86

Semidirect products G=N:Q with N=C₃ and Q=C₂₀.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀.Q₈) = C₆₀.₇Q₈	φ: C₂₀.Q₈/C₂×C₅⋊₂C₈ → C₂ ⊆ Aut C₃	480		C3:1(C20.Q8)	480,61
C₃⋊₂(C₂₀.Q₈) = C₃₀.SD₁₆	φ: C₂₀.Q₈/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	480		C3:2(C20.Q8)	480,62
C₃⋊₃(C₂₀.Q₈) = C₆₀.₂Q₈	φ: C₂₀.Q₈/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	480		C3:3(C20.Q8)	480,168

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁