Extensions 1→N→G→Q→1 with N=C₂xC₃³:C₂ and Q=C₂

Direct product G=NxQ with N=C₂xC₃³:C₂ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃³:C₂		108		C2^2xC3^3:C2	216,176

Semidirect products G=N:Q with N=C₂xC₃³:C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃³:C₂):₁C₂ = C₃³:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃³:C₂	36		(C2xC3^3:C2):1C2	216,128
(C₂xC₃³:C₂):₂C₂ = C₃³:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃³:C₂	36		(C2xC3^3:C2):2C2	216,129
(C₂xC₃³:C₂):₃C₂ = C₃³:₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃³:C₂	108		(C2xC3^3:C2):3C2	216,147
(C₂xC₃³:C₂):₄C₂ = C₃³:₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃³:C₂	108		(C2xC3^3:C2):4C2	216,149
(C₂xC₃³:C₂):₅C₂ = C₂xS₃xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃³:C₂	36		(C2xC3^3:C2):5C2	216,171

Non-split extensions G=N.Q with N=C₂xC₃³:C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃³:C₂).C₂ = C₃³:₈(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃³:C₂	36		(C2xC3^3:C2).C2	216,126
(C₂xC₃³:C₂).₂C₂ = C₄xC₃³:C₂	φ: trivial image	108		(C2xC3^3:C2).2C2	216,146

׿

x

:

Z

F

o

wr

Q

<