Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂³

Direct product G=NxQ with N=C₂xC₆ and Q=C₂³

		d	ρ	Label	ID
C₂⁴xC₆		96		C2^4xC6	96,231

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₆):C₂³ = C₂xS₃xD₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₆	24	(C2xC6):C2^3	96,209
(C₂xC₆):₂C₂³ = D₄xC₂xC₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48	(C2xC6):2C2^3	96,221
(C₂xC₆):₃C₂³ = C₂²xC₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48	(C2xC6):3C2^3	96,219
(C₂xC₆):₄C₂³ = S₃xC₂⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48	(C2xC6):4C2^3	96,230

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁C₂³ = C₂xD₄:₂S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6).1C2^3	96,210
(C₂xC₆).₂C₂³ = D₄:₆D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6).2C2^3	96,211
(C₂xC₆).₃C₂³ = S₃xC₄oD₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6).3C2^3	96,215
(C₂xC₆).₄C₂³ = D₄oD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₆	24	4+	(C2xC6).4C2^3	96,216
(C₂xC₆).₅C₂³ = Q₈oD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₆	48	4-	(C2xC6).5C2^3	96,217
(C₂xC₆).₆C₂³ = C₆xC₄oD₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).6C2^3	96,223
(C₂xC₆).₇C₂³ = C₃x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6).7C2^3	96,224
(C₂xC₆).₈C₂³ = C₃x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48	4	(C2xC6).8C2^3	96,225
(C₂xC₆).₉C₂³ = C₄xDic₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).9C2^3	96,75
(C₂xC₆).₁₀C₂³ = C₁₂:₂Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).10C2^3	96,76
(C₂xC₆).₁₁C₂³ = C₁₂.₆Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).11C2^3	96,77
(C₂xC₆).₁₂C₂³ = S₃xC₄²	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).12C2^3	96,78
(C₂xC₆).₁₃C₂³ = C₄²:₂S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).13C2^3	96,79
(C₂xC₆).₁₄C₂³ = C₄xD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).14C2^3	96,80
(C₂xC₆).₁₅C₂³ = C₄:D₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).15C2^3	96,81
(C₂xC₆).₁₆C₂³ = C₄²:₇S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).16C2^3	96,82
(C₂xC₆).₁₇C₂³ = C₄²:₃S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).17C2^3	96,83
(C₂xC₆).₁₈C₂³ = C₂³.₁₆D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).18C2^3	96,84
(C₂xC₆).₁₉C₂³ = Dic₃.D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).19C2^3	96,85
(C₂xC₆).₂₀C₂³ = C₂³.₈D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).20C2^3	96,86
(C₂xC₆).₂₁C₂³ = S₃xC₂²:C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).21C2^3	96,87
(C₂xC₆).₂₂C₂³ = Dic₃:₄D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).22C2^3	96,88
(C₂xC₆).₂₃C₂³ = D₆:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).23C2^3	96,89
(C₂xC₆).₂₄C₂³ = C₂³.₉D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).24C2^3	96,90
(C₂xC₆).₂₅C₂³ = Dic₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).25C2^3	96,91
(C₂xC₆).₂₆C₂³ = C₂³.₁₁D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).26C2^3	96,92
(C₂xC₆).₂₇C₂³ = C₂³.₂₁D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).27C2^3	96,93
(C₂xC₆).₂₈C₂³ = Dic₆:C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).28C2^3	96,94
(C₂xC₆).₂₉C₂³ = C₁₂:Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).29C2^3	96,95
(C₂xC₆).₃₀C₂³ = Dic₃.Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).30C2^3	96,96
(C₂xC₆).₃₁C₂³ = C₄.Dic₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).31C2^3	96,97
(C₂xC₆).₃₂C₂³ = S₃xC₄:C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).32C2^3	96,98
(C₂xC₆).₃₃C₂³ = C₄:C₄:₇S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).33C2^3	96,99
(C₂xC₆).₃₄C₂³ = Dic₃:₅D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).34C2^3	96,100
(C₂xC₆).₃₅C₂³ = D₆.D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).35C2^3	96,101
(C₂xC₆).₃₆C₂³ = C₁₂:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).36C2^3	96,102
(C₂xC₆).₃₇C₂³ = D₆:Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).37C2^3	96,103
(C₂xC₆).₃₈C₂³ = C₄.D₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).38C2^3	96,104
(C₂xC₆).₃₉C₂³ = C₄:C₄:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).39C2^3	96,105
(C₂xC₆).₄₀C₂³ = C₂xC₄xDic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).40C2^3	96,129
(C₂xC₆).₄₁C₂³ = C₂xDic₃:C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).41C2^3	96,130
(C₂xC₆).₄₂C₂³ = C₁₂.₄₈D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).42C2^3	96,131
(C₂xC₆).₄₃C₂³ = C₂xC₄:Dic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).43C2^3	96,132
(C₂xC₆).₄₄C₂³ = C₂³.₂₆D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).44C2^3	96,133
(C₂xC₆).₄₅C₂³ = C₂xD₆:C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).45C2^3	96,134
(C₂xC₆).₄₆C₂³ = C₄xC₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).46C2^3	96,135
(C₂xC₆).₄₇C₂³ = C₂³.₂₈D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).47C2^3	96,136
(C₂xC₆).₄₈C₂³ = C₁₂:₇D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).48C2^3	96,137
(C₂xC₆).₄₉C₂³ = D₄xDic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).49C2^3	96,141
(C₂xC₆).₅₀C₂³ = C₂³.₂₃D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).50C2^3	96,142
(C₂xC₆).₅₁C₂³ = C₂³.₁₂D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).51C2^3	96,143
(C₂xC₆).₅₂C₂³ = C₂³:₂D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).52C2^3	96,144
(C₂xC₆).₅₃C₂³ = D₆:₃D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).53C2^3	96,145
(C₂xC₆).₅₄C₂³ = C₂³.₁₄D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).54C2^3	96,146
(C₂xC₆).₅₅C₂³ = C₁₂:₃D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).55C2^3	96,147
(C₂xC₆).₅₆C₂³ = Dic₃:Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).56C2^3	96,151
(C₂xC₆).₅₇C₂³ = Q₈xDic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).57C2^3	96,152
(C₂xC₆).₅₈C₂³ = D₆:₃Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).58C2^3	96,153
(C₂xC₆).₅₉C₂³ = C₁₂.₂₃D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).59C2^3	96,154
(C₂xC₆).₆₀C₂³ = C₂xC₆.D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).60C2^3	96,159
(C₂xC₆).₆₁C₂³ = C₂⁴:₄S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).61C2^3	96,160
(C₂xC₆).₆₂C₂³ = C₂²xDic₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).62C2^3	96,205
(C₂xC₆).₆₃C₂³ = S₃xC₂²xC₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).63C2^3	96,206
(C₂xC₆).₆₄C₂³ = C₂²xD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).64C2^3	96,207
(C₂xC₆).₆₅C₂³ = C₂xC₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).65C2^3	96,208
(C₂xC₆).₆₆C₂³ = C₂xS₃xQ₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).66C2^3	96,212
(C₂xC₆).₆₇C₂³ = C₂xQ₈:₃S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).67C2^3	96,213
(C₂xC₆).₆₈C₂³ = Q₈.₁₅D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	48	4	(C2xC6).68C2^3	96,214
(C₂xC₆).₆₉C₂³ = C₂³xDic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).69C2^3	96,218
(C₂xC₆).₇₀C₂³ = C₆xC₂²:C₄	central extension (φ=1)	48		(C2xC6).70C2^3	96,162
(C₂xC₆).₇₁C₂³ = C₆xC₄:C₄	central extension (φ=1)	96		(C2xC6).71C2^3	96,163
(C₂xC₆).₇₂C₂³ = C₃xC₄²:C₂	central extension (φ=1)	48		(C2xC6).72C2^3	96,164
(C₂xC₆).₇₃C₂³ = D₄xC₁₂	central extension (φ=1)	48		(C2xC6).73C2^3	96,165
(C₂xC₆).₇₄C₂³ = Q₈xC₁₂	central extension (φ=1)	96		(C2xC6).74C2^3	96,166
(C₂xC₆).₇₅C₂³ = C₃xC₂²wrC₂	central extension (φ=1)	24		(C2xC6).75C2^3	96,167
(C₂xC₆).₇₆C₂³ = C₃xC₄:D₄	central extension (φ=1)	48		(C2xC6).76C2^3	96,168
(C₂xC₆).₇₇C₂³ = C₃xC₂²:Q₈	central extension (φ=1)	48		(C2xC6).77C2^3	96,169
(C₂xC₆).₇₈C₂³ = C₃xC₂².D₄	central extension (φ=1)	48		(C2xC6).78C2^3	96,170
(C₂xC₆).₇₉C₂³ = C₃xC₄.₄D₄	central extension (φ=1)	48		(C2xC6).79C2^3	96,171
(C₂xC₆).₈₀C₂³ = C₃xC₄².C₂	central extension (φ=1)	96		(C2xC6).80C2^3	96,172
(C₂xC₆).₈₁C₂³ = C₃xC₄²:₂C₂	central extension (φ=1)	48		(C2xC6).81C2^3	96,173
(C₂xC₆).₈₂C₂³ = C₃xC₄:₁D₄	central extension (φ=1)	48		(C2xC6).82C2^3	96,174
(C₂xC₆).₈₃C₂³ = C₃xC₄:Q₈	central extension (φ=1)	96		(C2xC6).83C2^3	96,175
(C₂xC₆).₈₄C₂³ = Q₈xC₂xC₆	central extension (φ=1)	96		(C2xC6).84C2^3	96,222

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C23

Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂³