# Extensions 1→N→G→Q→1 with N=C32×C6 and Q=C22

Direct product G=N×Q with N=C32×C6 and Q=C22
dρLabelID
C63216C6^3216,177

Semidirect products G=N:Q with N=C32×C6 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C32×C6)⋊1C22 = S32×C6φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6):1C2^2216,170
(C32×C6)⋊2C22 = C2×S3×C3⋊S3φ: C22/C1C22 ⊆ Aut C32×C636(C3^2xC6):2C2^2216,171
(C32×C6)⋊3C22 = C2×C324D6φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6):3C2^2216,172
(C32×C6)⋊4C22 = S3×C62φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6):4C2^2216,174
(C32×C6)⋊5C22 = C2×C6×C3⋊S3φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6):5C2^2216,175
(C32×C6)⋊6C22 = C22×C33⋊C2φ: C22/C2C2 ⊆ Aut C32×C6108(C3^2xC6):6C2^2216,176

Non-split extensions G=N.Q with N=C32×C6 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C32×C6).1C22 = C3×S3×Dic3φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).1C2^2216,119
(C32×C6).2C22 = C3×C6.D6φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).2C2^2216,120
(C32×C6).3C22 = C3×D6⋊S3φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).3C2^2216,121
(C32×C6).4C22 = C3×C3⋊D12φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).4C2^2216,122
(C32×C6).5C22 = C3×C322Q8φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).5C2^2216,123
(C32×C6).6C22 = S3×C3⋊Dic3φ: C22/C1C22 ⊆ Aut C32×C672(C3^2xC6).6C2^2216,124
(C32×C6).7C22 = Dic3×C3⋊S3φ: C22/C1C22 ⊆ Aut C32×C672(C3^2xC6).7C2^2216,125
(C32×C6).8C22 = C338(C2×C4)φ: C22/C1C22 ⊆ Aut C32×C636(C3^2xC6).8C2^2216,126
(C32×C6).9C22 = C336D4φ: C22/C1C22 ⊆ Aut C32×C672(C3^2xC6).9C2^2216,127
(C32×C6).10C22 = C337D4φ: C22/C1C22 ⊆ Aut C32×C636(C3^2xC6).10C2^2216,128
(C32×C6).11C22 = C338D4φ: C22/C1C22 ⊆ Aut C32×C636(C3^2xC6).11C2^2216,129
(C32×C6).12C22 = C334Q8φ: C22/C1C22 ⊆ Aut C32×C672(C3^2xC6).12C2^2216,130
(C32×C6).13C22 = C339(C2×C4)φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).13C2^2216,131
(C32×C6).14C22 = C339D4φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).14C2^2216,132
(C32×C6).15C22 = C335Q8φ: C22/C1C22 ⊆ Aut C32×C6244(C3^2xC6).15C2^2216,133
(C32×C6).16C22 = C32×Dic6φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).16C2^2216,135
(C32×C6).17C22 = S3×C3×C12φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).17C2^2216,136
(C32×C6).18C22 = C32×D12φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).18C2^2216,137
(C32×C6).19C22 = Dic3×C3×C6φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).19C2^2216,138
(C32×C6).20C22 = C32×C3⋊D4φ: C22/C2C2 ⊆ Aut C32×C636(C3^2xC6).20C2^2216,139
(C32×C6).21C22 = C3×C324Q8φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).21C2^2216,140
(C32×C6).22C22 = C12×C3⋊S3φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).22C2^2216,141
(C32×C6).23C22 = C3×C12⋊S3φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).23C2^2216,142
(C32×C6).24C22 = C6×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C32×C672(C3^2xC6).24C2^2216,143
(C32×C6).25C22 = C3×C327D4φ: C22/C2C2 ⊆ Aut C32×C636(C3^2xC6).25C2^2216,144
(C32×C6).26C22 = C338Q8φ: C22/C2C2 ⊆ Aut C32×C6216(C3^2xC6).26C2^2216,145
(C32×C6).27C22 = C4×C33⋊C2φ: C22/C2C2 ⊆ Aut C32×C6108(C3^2xC6).27C2^2216,146
(C32×C6).28C22 = C3312D4φ: C22/C2C2 ⊆ Aut C32×C6108(C3^2xC6).28C2^2216,147
(C32×C6).29C22 = C2×C335C4φ: C22/C2C2 ⊆ Aut C32×C6216(C3^2xC6).29C2^2216,148
(C32×C6).30C22 = C3315D4φ: C22/C2C2 ⊆ Aut C32×C6108(C3^2xC6).30C2^2216,149
(C32×C6).31C22 = D4×C33central extension (φ=1)108(C3^2xC6).31C2^2216,151
(C32×C6).32C22 = Q8×C33central extension (φ=1)216(C3^2xC6).32C2^2216,152

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