Extensions 1→N→G→Q→1 with N=C₃xC₁₅ and Q=C₂³

Direct product G=NxQ with N=C₃xC₁₅ and Q=C₂³

		d	ρ	Label	ID
C₂xC₆xC₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₃xC₁₅ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₅):C₂³ = S₃²xD₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₃xC₁₅	30	8+	(C3xC15):C2^3	360,137
(C₃xC₁₅):₂C₂³ = S₃xC₆xD₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₅	60	4	(C3xC15):2C2^3	360,151
(C₃xC₁₅):₃C₂³ = C₂xD₅xC₃:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₅	90		(C3xC15):3C2^3	360,152
(C₃xC₁₅):₄C₂³ = C₂xS₃xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₅	60	4+	(C3xC15):4C2^3	360,154
(C₃xC₁₅):₅C₂³ = C₂xD₁₅:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₅	60	4	(C3xC15):5C2^3	360,155
(C₃xC₁₅):₆C₂³ = S₃²xC₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₅	60	4	(C3xC15):6C2^3	360,153
(C₃xC₁₅):₇C₂³ = C₂²xC₃:D₁₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₅	180		(C3xC15):7C2^3	360,161
(C₃xC₁₅):₈C₂³ = C₂xC₆xD₁₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₅	120		(C3xC15):8C2^3	360,159
(C₃xC₁₅):₉C₂³ = D₅xC₆²	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₅	180		(C3xC15):9C2^3	360,157
(C₃xC₁₅):₁₀C₂³ = S₃xC₂xC₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₅	120		(C3xC15):10C2^3	360,158
(C₃xC₁₅):₁₁C₂³ = C₃:S₃xC₂xC₁₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₅	180		(C3xC15):11C2^3	360,160

׿

x

:

Z

F

o

wr

Q

<