Extensions 1→N→G→Q→1 with N=C₃³xC₆ and Q=C₂

Direct product G=NxQ with N=C₃³xC₆ and Q=C₂

		d	ρ	Label	ID
C₃²xC₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₃³xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃³xC₆):₁C₂ = S₃xC₃²xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	108		(C3^3xC6):1C2	324,172
(C₃³xC₆):₂C₂ = C₃:S₃xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	36		(C3^3xC6):2C2	324,173
(C₃³xC₆):₃C₂ = C₆xC₃³:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	108		(C3^3xC6):3C2	324,174
(C₃³xC₆):₄C₂ = C₂xC₃⁴:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	162		(C3^3xC6):4C2	324,175

Non-split extensions G=N.Q with N=C₃³xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃³xC₆).₁C₂ = Dic₃xC₃³	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	108		(C3^3xC6).1C2	324,155
(C₃³xC₆).₂C₂ = C₃²xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	36		(C3^3xC6).2C2	324,156
(C₃³xC₆).₃C₂ = C₃xC₃³:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	108		(C3^3xC6).3C2	324,157
(C₃³xC₆).₄C₂ = C₃⁴:₈C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃³xC₆	324		(C3^3xC6).4C2	324,158

׿

x

:

Z

F

o

wr

Q

<