Extensions 1→N→G→Q→1 with N=C₃xDic₆ and Q=C₆

Direct product G=NxQ with N=C₃xDic₆ and Q=C₆

		d	ρ	Label	ID
C₃xC₆xDic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=C₃xDic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₆):₁C₆ = C₃xDic₆:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6):1C6	432,420
(C₃xDic₆):₂C₆ = C₃xC₃²:₅SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6):2C6	432,422
(C₃xDic₆):₃C₆ = C₃²xD₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	72		(C3xDic6):3C6	432,476
(C₃xDic₆):₄C₆ = C₃xS₃xDic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6):4C6	432,642
(C₃xDic₆):₅C₆ = C₃xD₁₂:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6):5C6	432,644
(C₃xDic₆):₆C₆ = C₃xDic₃.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6):6C6	432,645
(C₃xDic₆):₇C₆ = C₃xD₆.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6):7C6	432,647
(C₃xDic₆):₈C₆ = C₃²xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	72		(C3xDic6):8C6	432,705
(C₃xDic₆):₉C₆ = S₃xQ₈xC₃²	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144		(C3xDic6):9C6	432,706
(C₃xDic₆):₁₀C₆ = C₃²xC₂₄:C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144		(C3xDic6):10C6	432,466
(C₃xDic₆):₁₁C₆ = C₃²xC₄oD₁₂	φ: trivial image	72		(C3xDic6):11C6	432,703

Non-split extensions G=N.Q with N=C₃xDic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₆).₁C₆ = C₉xD₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	72	4	(C3xDic6).1C6	432,151
(C₃xDic₆).₂C₆ = C₉xC₃:Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144	4	(C3xDic6).2C6	432,159
(C₃xDic₆).₃C₆ = C₉xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	72	4	(C3xDic6).3C6	432,359
(C₃xDic₆).₄C₆ = S₃xQ₈xC₉	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144	4	(C3xDic6).4C6	432,366
(C₃xDic₆).₅C₆ = C₃xC₃²:₂Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6).5C6	432,423
(C₃xDic₆).₆C₆ = C₃xC₃²:₃Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	48	4	(C3xDic6).6C6	432,424
(C₃xDic₆).₇C₆ = C₃²xC₃:Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144		(C3xDic6).7C6	432,478
(C₃xDic₆).₈C₆ = C₉xC₂₄:C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144	2	(C3xDic6).8C6	432,111
(C₃xDic₆).₉C₆ = C₉xDic₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144	2	(C3xDic6).9C6	432,113
(C₃xDic₆).₁₀C₆ = C₃²xDic₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₆	144		(C3xDic6).10C6	432,468
(C₃xDic₆).₁₁C₆ = C₁₈xDic₆	φ: trivial image	144		(C3xDic6).11C6	432,341
(C₃xDic₆).₁₂C₆ = C₉xC₄oD₁₂	φ: trivial image	72	2	(C3xDic6).12C6	432,347

׿

x

:

Z

F

o

wr

Q

<