Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂xF₅

Direct product G=NxQ with N=C₃² and Q=C₂xF₅

		d	ρ	Label	ID
C₃xC₆xF₅		90		C3xC6xF5	360,145

Semidirect products G=N:Q with N=C₃² and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(C₂xF₅) = C₃²:F₅:C₂	φ: C₂xF₅/D₅ → C₄ ⊆ Aut C₃²	30	8+	C3^2:1(C2xF5)	360,131
C₃²:₂(C₂xF₅) = S₃xC₃:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₃²	30	8	C3^2:2(C2xF5)	360,128
C₃²:₃(C₂xF₅) = C₃:F₅:S₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₃²	30	8+	C3^2:3(C2xF5)	360,129
C₃²:₄(C₂xF₅) = C₂xC₃²:F₅	φ: C₂xF₅/C₁₀ → C₄ ⊆ Aut C₃²	60	4+	C3^2:4(C2xF5)	360,150
C₃²:₅(C₂xF₅) = C₃xS₃xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₃²	30	8	C3^2:5(C2xF5)	360,126
C₃²:₆(C₂xF₅) = C₃:S₃xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₃²	45		C3^2:6(C2xF5)	360,127
C₃²:₇(C₂xF₅) = C₆xC₃:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₃²	60	4	C3^2:7(C2xF5)	360,146
C₃²:₈(C₂xF₅) = C₂xC₃²:₃F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₃²	90		C3^2:8(C2xF5)	360,147

׿

x

:

Z

F

o

wr

Q

<