Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₁₂⋊Q₈

		d	ρ	Label	ID
C₅×C₁₂⋊Q₈		480		C5xC12:Q8	480,767

Semidirect products G=N:Q with N=C₅ and Q=C₁₂⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂⋊Q₈) = C₂₀⋊₄Dic₆	φ: C₁₂⋊Q₈/C₄×Dic₃ → C₂ ⊆ Aut C₅	480		C5:1(C12:Q8)	480,545
C₅⋊₂(C₁₂⋊Q₈) = Dic₃⋊Dic₁₀	φ: C₁₂⋊Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	480		C5:2(C12:Q8)	480,404
C₅⋊₃(C₁₂⋊Q₈) = C₂₀⋊Dic₆	φ: C₁₂⋊Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(C12:Q8)	480,546
C₅⋊₄(C₁₂⋊Q₈) = C₄⋊Dic₃₀	φ: C₁₂⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	480		C5:4(C12:Q8)	480,853
C₅⋊₅(C₁₂⋊Q₈) = Dic₁₅⋊Q₈	φ: C₁₂⋊Q₈/C₂×Dic₆ → C₂ ⊆ Aut C₅	480		C5:5(C12:Q8)	480,405

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁