Extensions 1→N→G→Q→1 with N=C₉xDic₆ and Q=C₂

Direct product G=NxQ with N=C₉xDic₆ and Q=C₂

		d	ρ	Label	ID
C₁₈xDic₆		144		C18xDic6	432,341

Semidirect products G=N:Q with N=C₉xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉xDic₆):₁C₂ = Dic₆:D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	4	(C9xDic6):1C2	432,72
(C₉xDic₆):₂C₂ = C₁₈.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	72	4+	(C9xDic6):2C2	432,73
(C₉xDic₆):₃C₂ = D₉xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	4-	(C9xDic6):3C2	432,280
(C₉xDic₆):₄C₂ = D₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	72	4	(C9xDic6):4C2	432,281
(C₉xDic₆):₅C₂ = Dic₆:₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	72	4+	(C9xDic6):5C2	432,282
(C₉xDic₆):₆C₂ = Dic₁₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	72	4	(C9xDic6):6C2	432,283
(C₉xDic₆):₇C₂ = C₉xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	2	(C9xDic6):7C2	432,111
(C₉xDic₆):₈C₂ = C₉xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	72	4	(C9xDic6):8C2	432,151
(C₉xDic₆):₉C₂ = C₉xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	72	4	(C9xDic6):9C2	432,359
(C₉xDic₆):₁₀C₂ = S₃xQ₈xC₉	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	4	(C9xDic6):10C2	432,366
(C₉xDic₆):₁₁C₂ = C₉xC₄oD₁₂	φ: trivial image	72	2	(C9xDic6):11C2	432,347

Non-split extensions G=N.Q with N=C₉xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉xDic₆).₁C₂ = C₁₂.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	4	(C9xDic6).1C2	432,74
(C₉xDic₆).₂C₂ = C₉:Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	4-	(C9xDic6).2C2	432,75
(C₉xDic₆).₃C₂ = C₉xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	2	(C9xDic6).3C2	432,113
(C₉xDic₆).₄C₂ = C₉xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₉xDic₆	144	4	(C9xDic6).4C2	432,159

׿

x

:

Z

F

o

wr

Q

<