Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₆

Direct product G=NxQ with N=C₃xC₁₈ and Q=C₆

		d	ρ	Label	ID
C₃xC₆xC₁₈		324		C3xC6xC18	324,151

Semidirect products G=N:Q with N=C₃xC₁₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈):₁C₆ = C₂xC₃²:D₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	54		(C3xC18):1C6	324,63
(C₃xC₁₈):₂C₆ = C₂xHe₃.S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	54	6+	(C3xC18):2C6	324,71
(C₃xC₁₈):₃C₆ = C₂xHe₃.₂S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	54	6+	(C3xC18):3C6	324,73
(C₃xC₁₈):₄C₆ = C₆xC₉:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	36	6	(C3xC18):4C6	324,140
(C₃xC₁₈):₅C₆ = C₂xC₃³.S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	54		(C3xC18):5C6	324,146
(C₃xC₁₈):₆C₆ = C₂xHe₃.₄S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	54	6+	(C3xC18):6C6	324,147
(C₃xC₁₈):₇C₆ = C₂xS₃x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	36	6	(C3xC18):7C6	324,141
(C₃xC₁₈):₈C₆ = C₂²xC₃²:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18):8C6	324,82
(C₃xC₁₈):₉C₆ = C₂²xHe₃.C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18):9C6	324,87
(C₃xC₁₈):₁₀C₆ = C₂²xHe₃:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18):10C6	324,88
(C₃xC₁₈):₁₁C₆ = C₂xC₆x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18):11C6	324,153
(C₃xC₁₈):₁₂C₆ = C₂²xC₉oHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18):12C6	324,154
(C₃xC₁₈):₁₃C₆ = S₃xC₃xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18):13C6	324,137
(C₃xC₁₈):₁₄C₆ = D₉xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18):14C6	324,136
(C₃xC₁₈):₁₅C₆ = C₆xC₉:S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18):15C6	324,142

Non-split extensions G=N.Q with N=C₃xC₁₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈).₁C₆ = C₃²:Dic₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	108		(C3xC18).1C6	324,8
(C₃xC₁₈).₂C₆ = He₃.Dic₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	108	6-	(C3xC18).2C6	324,16
(C₃xC₁₈).₃C₆ = He₃.₂Dic₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	108	6-	(C3xC18).3C6	324,18
(C₃xC₁₈).₄C₆ = C₉:C₃₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	36	6	(C3xC18).4C6	324,9
(C₃xC₁₈).₅C₆ = C₂xC₉:C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	36	6	(C3xC18).5C6	324,64
(C₃xC₁₈).₆C₆ = C₃xC₉:C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	36	6	(C3xC18).6C6	324,94
(C₃xC₁₈).₇C₆ = C₃³.Dic₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	108		(C3xC18).7C6	324,100
(C₃xC₁₈).₈C₆ = He₃.₄Dic₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	108	6-	(C3xC18).8C6	324,101
(C₃xC₁₈).₉C₆ = Dic₃x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₈	36	6	(C3xC18).9C6	324,95
(C₃xC₁₈).₁₀C₆ = C₄xC₃²:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18).10C6	324,27
(C₃xC₁₈).₁₁C₆ = C₄xC₉:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	324		(C3xC18).11C6	324,28
(C₃xC₁₈).₁₂C₆ = C₄xHe₃.C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108	3	(C3xC18).12C6	324,32
(C₃xC₁₈).₁₃C₆ = C₄xHe₃:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108	3	(C3xC18).13C6	324,33
(C₃xC₁₈).₁₄C₆ = C₄xC₃.He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108	3	(C3xC18).14C6	324,34
(C₃xC₁₈).₁₅C₆ = C₂²xC₉:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	324		(C3xC18).15C6	324,83
(C₃xC₁₈).₁₆C₆ = C₂²xC₃.He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18).16C6	324,89
(C₃xC₁₈).₁₇C₆ = C₄xC₂₇:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108	3	(C3xC18).17C6	324,30
(C₃xC₁₈).₁₈C₆ = C₂²xC₂₇:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18).18C6	324,85
(C₃xC₁₈).₁₉C₆ = C₁₂x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108		(C3xC18).19C6	324,107
(C₃xC₁₈).₂₀C₆ = C₄xC₉oHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₈	108	3	(C3xC18).20C6	324,108
(C₃xC₁₈).₂₁C₆ = Dic₃xC₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108	2	(C3xC18).21C6	324,11
(C₃xC₁₈).₂₂C₆ = S₃xC₅₄	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108	2	(C3xC18).22C6	324,66
(C₃xC₁₈).₂₃C₆ = Dic₃xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18).23C6	324,91
(C₃xC₁₈).₂₄C₆ = C₉xDic₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	36	2	(C3xC18).24C6	324,6
(C₃xC₁₈).₂₅C₆ = D₉xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	36	2	(C3xC18).25C6	324,61
(C₃xC₁₈).₂₆C₆ = C₃²xDic₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18).26C6	324,90
(C₃xC₁₈).₂₇C₆ = C₃xC₉:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18).27C6	324,96

Extensions 1→N→G→Q→1 with N=C3xC18 and Q=C6

Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₆