Extensions 1→N→G→Q→1 with N=C₃ and Q=D₁₀:Q₈

Direct product G=NxQ with N=C₃ and Q=D₁₀:Q₈

		d	ρ	Label	ID
C₃xD₁₀:Q₈		240		C3xD10:Q8	480,689

Semidirect products G=N:Q with N=C₃ and Q=D₁₀:Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₁₀:Q₈) = D₃₀:₈Q₈	φ: D₁₀:Q₈/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(D10:Q8)	480,453
C₃:₂(D₁₀:Q₈) = D₃₀:₂Q₈	φ: D₁₀:Q₈/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(D10:Q8)	480,495
C₃:₃(D₁₀:Q₈) = Dic₁₅.D₄	φ: D₁₀:Q₈/D₁₀:C₄ → C₂ ⊆ Aut C₃	240		C3:3(D10:Q8)	480,506
C₃:₄(D₁₀:Q₈) = D₁₀:₄Dic₆	φ: D₁₀:Q₈/D₁₀:C₄ → C₂ ⊆ Aut C₃	240		C3:4(D10:Q8)	480,507
C₃:₅(D₁₀:Q₈) = D₃₀:₅Q₈	φ: D₁₀:Q₈/C₅xC₄:C₄ → C₂ ⊆ Aut C₃	240		C3:5(D10:Q8)	480,861
C₃:₆(D₁₀:Q₈) = D₃₀:Q₈	φ: D₁₀:Q₈/C₂xDic₁₀ → C₂ ⊆ Aut C₃	240		C3:6(D10:Q8)	480,487
C₃:₇(D₁₀:Q₈) = D₁₀:Dic₆	φ: D₁₀:Q₈/C₂xC₄xD₅ → C₂ ⊆ Aut C₃	240		C3:7(D10:Q8)	480,425

׿

x

:

Z

F

o

wr

Q

<