Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₃D₆

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₃D₆

		d	ρ	Label	ID
C₅×Q₈⋊₃D₆		120	4	C5xQ8:3D6	480,793

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₃D₆) = C₄₀⋊₁D₆	φ: Q₈⋊₃D₆/C₈⋊S₃ → C₂ ⊆ Aut C₅	120	4+	C5:1(Q8:3D6)	480,329
C₅⋊₂(Q₈⋊₃D₆) = D₂₄⋊₆D₅	φ: Q₈⋊₃D₆/D₂₄ → C₂ ⊆ Aut C₅	120	4	C5:2(Q8:3D6)	480,333
C₅⋊₃(Q₈⋊₃D₆) = D₁₂⋊₅D₁₀	φ: Q₈⋊₃D₆/D₄⋊S₃ → C₂ ⊆ Aut C₅	120	8+	C5:3(Q8:3D6)	480,576
C₅⋊₄(Q₈⋊₃D₆) = D₆₀⋊C₂²	φ: Q₈⋊₃D₆/Q₈⋊₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:4(Q8:3D6)	480,582
C₅⋊₅(Q₈⋊₃D₆) = Q₈⋊₃D₃₀	φ: Q₈⋊₃D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₅	120	4+	C5:5(Q8:3D6)	480,879
C₅⋊₆(Q₈⋊₃D₆) = D₁₂.₉D₁₀	φ: Q₈⋊₃D₆/S₃×D₄ → C₂ ⊆ Aut C₅	120	8+	C5:6(Q8:3D6)	480,572
C₅⋊₇(Q₈⋊₃D₆) = D₁₂⋊D₁₀	φ: Q₈⋊₃D₆/Q₈⋊₃S₃ → C₂ ⊆ Aut C₅	120	8+	C5:7(Q8:3D6)	480,580

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁