Extensions 1→N→G→Q→1 with N=C₃xC₃₆ and Q=C₃

Direct product G=NxQ with N=C₃xC₃₆ and Q=C₃

		d	ρ	Label	ID
C₃²xC₃₆		324		C3^2xC36	324,105

Semidirect products G=N:Q with N=C₃xC₃₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₃₆):₁C₃ = C₄xC₃²:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108		(C3xC36):1C3	324,27
(C₃xC₃₆):₂C₃ = C₄xHe₃.C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108	3	(C3xC36):2C3	324,32
(C₃xC₃₆):₃C₃ = C₄xHe₃:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108	3	(C3xC36):3C3	324,33
(C₃xC₃₆):₄C₃ = C₁₂x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108		(C3xC36):4C3	324,107
(C₃xC₃₆):₅C₃ = C₄xC₉oHe₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108	3	(C3xC36):5C3	324,108

Non-split extensions G=N.Q with N=C₃xC₃₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₃₆).₁C₃ = C₄xC₃.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108	3	(C3xC36).1C3	324,34
(C₃xC₃₆).₂C₃ = C₄xC₉:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	324		(C3xC36).2C3	324,28
(C₃xC₃₆).₃C₃ = C₄xC₂₇:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₃₆	108	3	(C3xC36).3C3	324,30

׿

x

:

Z

F

o

wr

Q

<