Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂³

Direct product G=NxQ with N=C₃xC₆ and Q=C₂³

		d	ρ	Label	ID
C₂²xC₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₆):C₂³ = C₂²xS₃²	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	(C3xC6):C2^3	144,192
(C₃xC₆):₂C₂³ = S₃xC₂²xC₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48	(C3xC6):2C2^3	144,195
(C₃xC₆):₃C₂³ = C₂³xC₃:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72	(C3xC6):3C2^3	144,196

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁C₂³ = S₃xDic₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	48	4-	(C3xC6).1C2^3	144,137
(C₃xC₆).₂C₂³ = D₁₂:₅S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	48	4-	(C3xC6).2C2^3	144,138
(C₃xC₆).₃C₂³ = D₁₂:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).3C2^3	144,139
(C₃xC₆).₄C₂³ = Dic₃.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).4C2^3	144,140
(C₃xC₆).₅C₂³ = D₆.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).5C2^3	144,141
(C₃xC₆).₆C₂³ = D₆.₆D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4+	(C3xC6).6C2^3	144,142
(C₃xC₆).₇C₂³ = C₄xS₃²	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).7C2^3	144,143
(C₃xC₆).₈C₂³ = S₃xD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4+	(C3xC6).8C2^3	144,144
(C₃xC₆).₉C₂³ = D₆:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).9C2^3	144,145
(C₃xC₆).₁₀C₂³ = C₂xS₃xDic₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).10C2^3	144,146
(C₃xC₆).₁₁C₂³ = D₆.₃D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).11C2^3	144,147
(C₃xC₆).₁₂C₂³ = D₆.₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4-	(C3xC6).12C2^3	144,148
(C₃xC₆).₁₃C₂³ = C₂xC₆.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24		(C3xC6).13C2^3	144,149
(C₃xC₆).₁₄C₂³ = C₂xD₆:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).14C2^3	144,150
(C₃xC₆).₁₅C₂³ = C₂xC₃:D₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24		(C3xC6).15C2^3	144,151
(C₃xC₆).₁₆C₂³ = C₂xC₃²:₂Q₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).16C2^3	144,152
(C₃xC₆).₁₇C₂³ = S₃xC₃:D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).17C2^3	144,153
(C₃xC₆).₁₈C₂³ = Dic₃:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₆	12	4+	(C3xC6).18C2^3	144,154
(C₃xC₆).₁₉C₂³ = C₆xDic₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).19C2^3	144,158
(C₃xC₆).₂₀C₂³ = S₃xC₂xC₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).20C2^3	144,159
(C₃xC₆).₂₁C₂³ = C₆xD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).21C2^3	144,160
(C₃xC₆).₂₂C₂³ = C₃xC₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	24	2	(C3xC6).22C2^3	144,161
(C₃xC₆).₂₃C₂³ = C₃xS₃xD₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).23C2^3	144,162
(C₃xC₆).₂₄C₂³ = C₃xD₄:₂S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).24C2^3	144,163
(C₃xC₆).₂₅C₂³ = C₃xS₃xQ₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).25C2^3	144,164
(C₃xC₆).₂₆C₂³ = C₃xQ₈:₃S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).26C2^3	144,165
(C₃xC₆).₂₇C₂³ = Dic₃xC₂xC₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).27C2^3	144,166
(C₃xC₆).₂₈C₂³ = C₆xC₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	24		(C3xC6).28C2^3	144,167
(C₃xC₆).₂₉C₂³ = C₂xC₃²:₄Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).29C2^3	144,168
(C₃xC₆).₃₀C₂³ = C₂xC₄xC₃:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).30C2^3	144,169
(C₃xC₆).₃₁C₂³ = C₂xC₁₂:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).31C2^3	144,170
(C₃xC₆).₃₂C₂³ = C₁₂.₅₉D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).32C2^3	144,171
(C₃xC₆).₃₃C₂³ = D₄xC₃:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	36		(C3xC6).33C2^3	144,172
(C₃xC₆).₃₄C₂³ = C₁₂.D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).34C2^3	144,173
(C₃xC₆).₃₅C₂³ = Q₈xC₃:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).35C2^3	144,174
(C₃xC₆).₃₆C₂³ = C₁₂.₂₆D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).36C2^3	144,175
(C₃xC₆).₃₇C₂³ = C₂²xC₃:Dic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).37C2^3	144,176
(C₃xC₆).₃₈C₂³ = C₂xC₃²:₇D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).38C2^3	144,177
(C₃xC₆).₃₉C₂³ = D₄xC₃xC₆	central extension (φ=1)	72		(C3xC6).39C2^3	144,179
(C₃xC₆).₄₀C₂³ = Q₈xC₃xC₆	central extension (φ=1)	144		(C3xC6).40C2^3	144,180
(C₃xC₆).₄₁C₂³ = C₃²xC₄oD₄	central extension (φ=1)	72		(C3xC6).41C2^3	144,181

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C23

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂³