Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₃³

Direct product G=NxQ with N=C₃xC₆ and Q=C₃³

		d	ρ	Label	ID
C₃⁴xC₆		486		C3^4xC6	486,261

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):C₃³ = C₃xC₆xHe₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6):C3^3	486,251

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁C₃³ = C₆xC₃wrC₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54		(C3xC6).1C3^3	486,210
(C₃xC₆).₂C₃³ = C₆xHe₃.C₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).2C3^3	486,211
(C₃xC₆).₃C₃³ = C₆xHe₃:C₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).3C3^3	486,212
(C₃xC₆).₄C₃³ = C₆xC₃.He₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).4C3^3	486,213
(C₃xC₆).₅C₃³ = C₂xC₉.He₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	3	(C3xC6).5C3^3	486,214
(C₃xC₆).₆C₃³ = C₂xC₃³:C₃²	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).6C3^3	486,215
(C₃xC₆).₇C₃³ = C₂xHe₃.C₃²	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).7C3^3	486,216
(C₃xC₆).₈C₃³ = C₂xHe₃:C₃²	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).8C3^3	486,217
(C₃xC₆).₉C₃³ = C₂xC₃².C₃³	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).9C3^3	486,218
(C₃xC₆).₁₀C₃³ = C₂xC₉.₂He₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).10C3^3	486,219
(C₃xC₆).₁₁C₃³ = C₃xC₆x3_-¹⁺²	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).11C3^3	486,252
(C₃xC₆).₁₂C₃³ = C₆xC₉oHe₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).12C3^3	486,253
(C₃xC₆).₁₃C₃³ = C₂x3₊¹⁺⁴	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).13C3^3	486,254
(C₃xC₆).₁₄C₃³ = C₂x3_-¹⁺⁴	φ: C₃³/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).14C3^3	486,255
(C₃xC₆).₁₅C₃³ = C₆xC₃²:C₉	central extension (φ=1)	162		(C3xC6).15C3^3	486,191
(C₃xC₆).₁₆C₃³ = C₆xC₉:C₉	central extension (φ=1)	486		(C3xC6).16C3^3	486,192
(C₃xC₆).₁₇C₃³ = C₂xC₉²:₃C₃	central extension (φ=1)	162		(C3xC6).17C3^3	486,193
(C₃xC₆).₁₈C₃³ = C₁₈xHe₃	central extension (φ=1)	162		(C3xC6).18C3^3	486,194
(C₃xC₆).₁₉C₃³ = C₁₈x3_-¹⁺²	central extension (φ=1)	162		(C3xC6).19C3^3	486,195
(C₃xC₆).₂₀C₃³ = C₂xC₃²:He₃	central extension (φ=1)	54		(C3xC6).20C3^3	486,196
(C₃xC₆).₂₁C₃³ = C₂xC₃⁴.C₃	central extension (φ=1)	54		(C3xC6).21C3^3	486,197
(C₃xC₆).₂₂C₃³ = C₂xC₉:He₃	central extension (φ=1)	162		(C3xC6).22C3^3	486,198
(C₃xC₆).₂₃C₃³ = C₂xC₃².₂₃C₃³	central extension (φ=1)	162		(C3xC6).23C3^3	486,199
(C₃xC₆).₂₄C₃³ = C₂xC₉:3_-¹⁺²	central extension (φ=1)	162		(C3xC6).24C3^3	486,200
(C₃xC₆).₂₅C₃³ = C₂xC₃³.₃₁C₃²	central extension (φ=1)	162		(C3xC6).25C3^3	486,201
(C₃xC₆).₂₆C₃³ = C₂xC₉²:₇C₃	central extension (φ=1)	162		(C3xC6).26C3^3	486,202
(C₃xC₆).₂₇C₃³ = C₂xC₉²:₄C₃	central extension (φ=1)	162		(C3xC6).27C3^3	486,203
(C₃xC₆).₂₈C₃³ = C₂xC₉²:₅C₃	central extension (φ=1)	162		(C3xC6).28C3^3	486,204
(C₃xC₆).₂₉C₃³ = C₂xC₉²:₈C₃	central extension (φ=1)	162		(C3xC6).29C3^3	486,205
(C₃xC₆).₃₀C₃³ = C₂xC₉²:₉C₃	central extension (φ=1)	162		(C3xC6).30C3^3	486,206

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C33

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₃³