Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₃²

Direct product G=NxQ with N=C₃xC₁₈ and Q=C₃²

		d	ρ	Label	ID
C₃³xC₁₈		486		C3^3xC18	486,250

Semidirect products G=N:Q with N=C₃xC₁₈ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈):₁C₃² = C₂xC₃⁴.C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54		(C3xC18):1C3^2	486,197
(C₃xC₁₈):₂C₃² = C₂xHe₃.C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18):2C3^2	486,216
(C₃xC₁₈):₃C₃² = C₂xHe₃:C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18):3C3^2	486,217
(C₃xC₁₈):₄C₃² = C₂x3_-¹⁺⁴	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18):4C3^2	486,255
(C₃xC₁₈):₅C₃² = C₆xC₃²:C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18):5C3^2	486,191
(C₃xC₁₈):₆C₃² = C₆xHe₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18):6C3^2	486,211
(C₃xC₁₈):₇C₃² = C₆xHe₃:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18):7C3^2	486,212
(C₃xC₁₈):₈C₃² = C₃xC₆x3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18):8C3^2	486,252
(C₃xC₁₈):₉C₃² = C₆xC₉oHe₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18):9C3^2	486,253

Non-split extensions G=N.Q with N=C₃xC₁₈ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈).₁C₃² = C₂xC₂₇:C₉	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18).1C3^2	486,82
(C₃xC₁₈).₂C₃² = C₂xC₃².He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18).2C3^2	486,88
(C₃xC₁₈).₃C₃² = C₂xC₃².₅He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18).3C3^2	486,89
(C₃xC₁₈).₄C₃² = C₂xC₃².₆He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18).4C3^2	486,90
(C₃xC₁₈).₅C₃² = C₂xC₉:He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).5C3^2	486,198
(C₃xC₁₈).₆C₃² = C₂xC₃².₂₃C₃³	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).6C3^2	486,199
(C₃xC₁₈).₇C₃² = C₂xC₉:3_-¹⁺²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).7C3^2	486,200
(C₃xC₁₈).₈C₃² = C₂xC₃³.₃₁C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).8C3^2	486,201
(C₃xC₁₈).₉C₃² = C₂xC₉²:₇C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).9C3^2	486,202
(C₃xC₁₈).₁₀C₃² = C₂xC₉²:₄C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).10C3^2	486,203
(C₃xC₁₈).₁₁C₃² = C₂xC₉²:₅C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).11C3^2	486,204
(C₃xC₁₈).₁₂C₃² = C₂xC₉²:₈C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).12C3^2	486,205
(C₃xC₁₈).₁₃C₃² = C₂xC₉²:₉C₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	162		(C3xC18).13C3^2	486,206
(C₃xC₁₈).₁₄C₃² = C₂xC₃².C₃³	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18).14C3^2	486,218
(C₃xC₁₈).₁₅C₃² = C₂xC₉.₂He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₃xC₁₈	54	9	(C3xC18).15C3^2	486,219
(C₃xC₁₈).₁₆C₃² = C₂xC₉²:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).16C3^2	486,85
(C₃xC₁₈).₁₇C₃² = C₂xC₉²:₂C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).17C3^2	486,86
(C₃xC₁₈).₁₈C₃² = C₂xC₉².C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).18C3^2	486,87
(C₃xC₁₈).₁₉C₃² = C₂xC₉²:₃C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18).19C3^2	486,193
(C₃xC₁₈).₂₀C₃² = C₁₈xHe₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18).20C3^2	486,194
(C₃xC₁₈).₂₁C₃² = C₆xC₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18).21C3^2	486,213
(C₃xC₁₈).₂₂C₃² = C₂xC₉.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).22C3^2	486,214
(C₃xC₁₈).₂₃C₃² = C₂xC₉.₄He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).23C3^2	486,76
(C₃xC₁₈).₂₄C₃² = C₂xC₉.₅He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162	3	(C3xC18).24C3^2	486,79
(C₃xC₁₈).₂₅C₃² = C₂xC₉.₆He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162	3	(C3xC18).25C3^2	486,80
(C₃xC₁₈).₂₆C₃² = C₆xC₉:C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	486		(C3xC18).26C3^2	486,192
(C₃xC₁₈).₂₇C₃² = C₁₈x3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18).27C3^2	486,195
(C₃xC₁₈).₂₈C₃² = C₆xC₂₇:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18).28C3^2	486,208
(C₃xC₁₈).₂₉C₃² = C₂xC₂₇oHe₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃xC₁₈	162	3	(C3xC18).29C3^2	486,209
(C₃xC₁₈).₃₀C₃² = C₂xC₂₇:₂C₉	central extension (φ=1)	486		(C3xC18).30C3^2	486,71
(C₃xC₁₈).₃₁C₃² = C₂xC₃²:C₂₇	central extension (φ=1)	162		(C3xC18).31C3^2	486,72
(C₃xC₁₈).₃₂C₃² = C₂xC₉:C₂₇	central extension (φ=1)	486		(C3xC18).32C3^2	486,81

Extensions 1→N→G→Q→1 with N=C3xC18 and Q=C32

Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₃²