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

Direct product G=N×Q with N=C32×C6 and Q=C6
dρLabelID
C32×C62324C3^2xC6^2324,176

Semidirect products G=N:Q with N=C32×C6 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C32×C6)⋊1C6 = C2×C33⋊C6φ: C6/C1C6 ⊆ Aut C32×C6186+(C3^2xC6):1C6324,69
(C32×C6)⋊2C6 = C6×C32⋊C6φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6):2C6324,138
(C32×C6)⋊3C6 = C2×S3×He3φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6):3C6324,139
(C32×C6)⋊4C6 = C2×He34S3φ: C6/C1C6 ⊆ Aut C32×C654(C3^2xC6):4C6324,144
(C32×C6)⋊5C6 = C22×C3≀C3φ: C6/C2C3 ⊆ Aut C32×C636(C3^2xC6):5C6324,86
(C32×C6)⋊6C6 = C2×C6×He3φ: C6/C2C3 ⊆ Aut C32×C6108(C3^2xC6):6C6324,152
(C32×C6)⋊7C6 = S3×C32×C6φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6):7C6324,172
(C32×C6)⋊8C6 = C3⋊S3×C3×C6φ: C6/C3C2 ⊆ Aut C32×C636(C3^2xC6):8C6324,173
(C32×C6)⋊9C6 = C6×C33⋊C2φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6):9C6324,174

Non-split extensions G=N.Q with N=C32×C6 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C32×C6).1C6 = C32⋊C36φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6).1C6324,7
(C32×C6).2C6 = C33⋊C12φ: C6/C1C6 ⊆ Aut C32×C6366-(C3^2xC6).2C6324,14
(C32×C6).3C6 = C2×C32⋊C18φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6).3C6324,62
(C32×C6).4C6 = C3×C32⋊C12φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6).4C6324,92
(C32×C6).5C6 = Dic3×He3φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6).5C6324,93
(C32×C6).6C6 = Dic3×3- 1+2φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6).6C6324,95
(C32×C6).7C6 = C334C12φ: C6/C1C6 ⊆ Aut C32×C6108(C3^2xC6).7C6324,98
(C32×C6).8C6 = C2×S3×3- 1+2φ: C6/C1C6 ⊆ Aut C32×C6366(C3^2xC6).8C6324,141
(C32×C6).9C6 = C4×C32⋊C9φ: C6/C2C3 ⊆ Aut C32×C6108(C3^2xC6).9C6324,27
(C32×C6).10C6 = C4×C3≀C3φ: C6/C2C3 ⊆ Aut C32×C6363(C3^2xC6).10C6324,31
(C32×C6).11C6 = C22×C32⋊C9φ: C6/C2C3 ⊆ Aut C32×C6108(C3^2xC6).11C6324,82
(C32×C6).12C6 = C12×He3φ: C6/C2C3 ⊆ Aut C32×C6108(C3^2xC6).12C6324,106
(C32×C6).13C6 = C12×3- 1+2φ: C6/C2C3 ⊆ Aut C32×C6108(C3^2xC6).13C6324,107
(C32×C6).14C6 = C2×C6×3- 1+2φ: C6/C2C3 ⊆ Aut C32×C6108(C3^2xC6).14C6324,153
(C32×C6).15C6 = Dic3×C3×C9φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6).15C6324,91
(C32×C6).16C6 = C9×C3⋊Dic3φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6).16C6324,97
(C32×C6).17C6 = S3×C3×C18φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6).17C6324,137
(C32×C6).18C6 = C18×C3⋊S3φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6).18C6324,143
(C32×C6).19C6 = Dic3×C33φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6).19C6324,155
(C32×C6).20C6 = C32×C3⋊Dic3φ: C6/C3C2 ⊆ Aut C32×C636(C3^2xC6).20C6324,156
(C32×C6).21C6 = C3×C335C4φ: C6/C3C2 ⊆ Aut C32×C6108(C3^2xC6).21C6324,157

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