Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₁₂⋊C₈

		d	ρ	Label	ID
C₅×C₁₂⋊C₈		480		C5xC12:C8	480,123

Semidirect products G=N:Q with N=C₅ and Q=C₁₂⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂⋊C₈) = C₆₀⋊C₈	φ: C₁₂⋊C₈/C₂×C₁₂ → C₄ ⊆ Aut C₅	480		C5:1(C12:C8)	480,306
C₅⋊₂(C₁₂⋊C₈) = Dic₅.₁₃D₁₂	φ: C₁₂⋊C₈/C₂×C₁₂ → C₄ ⊆ Aut C₅	480		C5:2(C12:C8)	480,309
C₅⋊₃(C₁₂⋊C₈) = C₆₀.₁₃Q₈	φ: C₁₂⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	480		C5:3(C12:C8)	480,58
C₅⋊₄(C₁₂⋊C₈) = C₆₀⋊₅C₈	φ: C₁₂⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:4(C12:C8)	480,164

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁