# Extensions 1→N→G→Q→1 with N=C3×Dic7 and Q=C22

Direct product G=N×Q with N=C3×Dic7 and Q=C22
dρLabelID
C2×C6×Dic7336C2xC6xDic7336,182

Semidirect products G=N:Q with N=C3×Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic7)⋊1C22 = S3×C7⋊D4φ: C22/C1C22 ⊆ Out C3×Dic7844(C3xDic7):1C2^2336,162
(C3×Dic7)⋊2C22 = D6⋊D14φ: C22/C1C22 ⊆ Out C3×Dic7844+(C3xDic7):2C2^2336,163
(C3×Dic7)⋊3C22 = C4×S3×D7φ: C22/C2C2 ⊆ Out C3×Dic7844(C3xDic7):3C2^2336,147
(C3×Dic7)⋊4C22 = D7×D12φ: C22/C2C2 ⊆ Out C3×Dic7844+(C3xDic7):4C2^2336,148
(C3×Dic7)⋊5C22 = C2×S3×Dic7φ: C22/C2C2 ⊆ Out C3×Dic7168(C3xDic7):5C2^2336,154
(C3×Dic7)⋊6C22 = C2×D21⋊C4φ: C22/C2C2 ⊆ Out C3×Dic7168(C3xDic7):6C2^2336,156
(C3×Dic7)⋊7C22 = C2×C7⋊D12φ: C22/C2C2 ⊆ Out C3×Dic7168(C3xDic7):7C2^2336,159
(C3×Dic7)⋊8C22 = C3×D4×D7φ: C22/C2C2 ⊆ Out C3×Dic7844(C3xDic7):8C2^2336,178
(C3×Dic7)⋊9C22 = C6×C7⋊D4φ: C22/C2C2 ⊆ Out C3×Dic7168(C3xDic7):9C2^2336,183
(C3×Dic7)⋊10C22 = D7×C2×C12φ: trivial image168(C3xDic7):10C2^2336,175

Non-split extensions G=N.Q with N=C3×Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic7).1C22 = S3×Dic14φ: C22/C1C22 ⊆ Out C3×Dic71684-(C3xDic7).1C2^2336,140
(C3×Dic7).2C22 = D12⋊D7φ: C22/C1C22 ⊆ Out C3×Dic71684(C3xDic7).2C2^2336,141
(C3×Dic7).3C22 = D84⋊C2φ: C22/C1C22 ⊆ Out C3×Dic71684+(C3xDic7).3C2^2336,142
(C3×Dic7).4C22 = D21⋊Q8φ: C22/C1C22 ⊆ Out C3×Dic71684(C3xDic7).4C2^2336,143
(C3×Dic7).5C22 = Dic7.D6φ: C22/C1C22 ⊆ Out C3×Dic71684(C3xDic7).5C2^2336,152
(C3×Dic7).6C22 = C42.C23φ: C22/C1C22 ⊆ Out C3×Dic71684-(C3xDic7).6C2^2336,153
(C3×Dic7).7C22 = D7×Dic6φ: C22/C2C2 ⊆ Out C3×Dic71684-(C3xDic7).7C2^2336,137
(C3×Dic7).8C22 = D6.D14φ: C22/C2C2 ⊆ Out C3×Dic71684(C3xDic7).8C2^2336,144
(C3×Dic7).9C22 = D125D7φ: C22/C2C2 ⊆ Out C3×Dic71684-(C3xDic7).9C2^2336,145
(C3×Dic7).10C22 = D14.D6φ: C22/C2C2 ⊆ Out C3×Dic71684+(C3xDic7).10C2^2336,146
(C3×Dic7).11C22 = Dic3.D14φ: C22/C2C2 ⊆ Out C3×Dic71684(C3xDic7).11C2^2336,155
(C3×Dic7).12C22 = C2×C21⋊Q8φ: C22/C2C2 ⊆ Out C3×Dic7336(C3xDic7).12C2^2336,160
(C3×Dic7).13C22 = C6×Dic14φ: C22/C2C2 ⊆ Out C3×Dic7336(C3xDic7).13C2^2336,174
(C3×Dic7).14C22 = C3×C4○D28φ: C22/C2C2 ⊆ Out C3×Dic71682(C3xDic7).14C2^2336,177
(C3×Dic7).15C22 = C3×D42D7φ: C22/C2C2 ⊆ Out C3×Dic71684(C3xDic7).15C2^2336,179
(C3×Dic7).16C22 = C3×Q8×D7φ: C22/C2C2 ⊆ Out C3×Dic71684(C3xDic7).16C2^2336,180
(C3×Dic7).17C22 = C3×Q82D7φ: trivial image1684(C3xDic7).17C2^2336,181

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