# Extensions 1→N→G→Q→1 with N=C3×Dic3 and Q=C22

Direct product G=N×Q with N=C3×Dic3 and Q=C22
dρLabelID
Dic3×C2×C648Dic3xC2xC6144,166

Semidirect products G=N:Q with N=C3×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic3)⋊1C22 = S3×C3⋊D4φ: C22/C1C22 ⊆ Out C3×Dic3244(C3xDic3):1C2^2144,153
(C3×Dic3)⋊2C22 = Dic3⋊D6φ: C22/C1C22 ⊆ Out C3×Dic3124+(C3xDic3):2C2^2144,154
(C3×Dic3)⋊3C22 = S3×D12φ: C22/C2C2 ⊆ Out C3×Dic3244+(C3xDic3):3C2^2144,144
(C3×Dic3)⋊4C22 = C2×C3⋊D12φ: C22/C2C2 ⊆ Out C3×Dic324(C3xDic3):4C2^2144,151
(C3×Dic3)⋊5C22 = C4×S32φ: C22/C2C2 ⊆ Out C3×Dic3244(C3xDic3):5C2^2144,143
(C3×Dic3)⋊6C22 = C2×S3×Dic3φ: C22/C2C2 ⊆ Out C3×Dic348(C3xDic3):6C2^2144,146
(C3×Dic3)⋊7C22 = C2×C6.D6φ: C22/C2C2 ⊆ Out C3×Dic324(C3xDic3):7C2^2144,149
(C3×Dic3)⋊8C22 = C3×S3×D4φ: C22/C2C2 ⊆ Out C3×Dic3244(C3xDic3):8C2^2144,162
(C3×Dic3)⋊9C22 = C6×C3⋊D4φ: C22/C2C2 ⊆ Out C3×Dic324(C3xDic3):9C2^2144,167
(C3×Dic3)⋊10C22 = S3×C2×C12φ: trivial image48(C3xDic3):10C2^2144,159

Non-split extensions G=N.Q with N=C3×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic3).1C22 = S3×Dic6φ: C22/C1C22 ⊆ Out C3×Dic3484-(C3xDic3).1C2^2144,137
(C3×Dic3).2C22 = D12⋊S3φ: C22/C1C22 ⊆ Out C3×Dic3244(C3xDic3).2C2^2144,139
(C3×Dic3).3C22 = Dic3.D6φ: C22/C1C22 ⊆ Out C3×Dic3244(C3xDic3).3C2^2144,140
(C3×Dic3).4C22 = D6.6D6φ: C22/C1C22 ⊆ Out C3×Dic3244+(C3xDic3).4C2^2144,142
(C3×Dic3).5C22 = D6.4D6φ: C22/C1C22 ⊆ Out C3×Dic3244-(C3xDic3).5C2^2144,148
(C3×Dic3).6C22 = D6.D6φ: C22/C2C2 ⊆ Out C3×Dic3244(C3xDic3).6C2^2144,141
(C3×Dic3).7C22 = C2×C322Q8φ: C22/C2C2 ⊆ Out C3×Dic348(C3xDic3).7C2^2144,152
(C3×Dic3).8C22 = D125S3φ: C22/C2C2 ⊆ Out C3×Dic3484-(C3xDic3).8C2^2144,138
(C3×Dic3).9C22 = D6.3D6φ: C22/C2C2 ⊆ Out C3×Dic3244(C3xDic3).9C2^2144,147
(C3×Dic3).10C22 = C6×Dic6φ: C22/C2C2 ⊆ Out C3×Dic348(C3xDic3).10C2^2144,158
(C3×Dic3).11C22 = C3×C4○D12φ: C22/C2C2 ⊆ Out C3×Dic3242(C3xDic3).11C2^2144,161
(C3×Dic3).12C22 = C3×S3×Q8φ: C22/C2C2 ⊆ Out C3×Dic3484(C3xDic3).12C2^2144,164
(C3×Dic3).13C22 = C3×D42S3φ: trivial image244(C3xDic3).13C2^2144,163
(C3×Dic3).14C22 = C3×Q83S3φ: trivial image484(C3xDic3).14C2^2144,165

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