# Extensions 1→N→G→Q→1 with N=S3×C14 and Q=C22

Direct product G=N×Q with N=S3×C14 and Q=C22
dρLabelID
S3×C22×C14168S3xC2^2xC14336,226

Semidirect products G=N:Q with N=S3×C14 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C14)⋊1C22 = D7×D12φ: C22/C1C22 ⊆ Out S3×C14844+(S3xC14):1C2^2336,148
(S3×C14)⋊2C22 = C28⋊D6φ: C22/C1C22 ⊆ Out S3×C14844(S3xC14):2C2^2336,150
(S3×C14)⋊3C22 = D7×C3⋊D4φ: C22/C1C22 ⊆ Out S3×C14844(S3xC14):3C2^2336,161
(S3×C14)⋊4C22 = D6⋊D14φ: C22/C1C22 ⊆ Out S3×C14844+(S3xC14):4C2^2336,163
(S3×C14)⋊5C22 = C2×C21⋊D4φ: C22/C2C2 ⊆ Out S3×C14168(S3xC14):5C2^2336,157
(S3×C14)⋊6C22 = C2×C7⋊D12φ: C22/C2C2 ⊆ Out S3×C14168(S3xC14):6C2^2336,159
(S3×C14)⋊7C22 = S3×C7⋊D4φ: C22/C2C2 ⊆ Out S3×C14844(S3xC14):7C2^2336,162
(S3×C14)⋊8C22 = C22×S3×D7φ: C22/C2C2 ⊆ Out S3×C1484(S3xC14):8C2^2336,219
(S3×C14)⋊9C22 = C14×D12φ: C22/C2C2 ⊆ Out S3×C14168(S3xC14):9C2^2336,186
(S3×C14)⋊10C22 = S3×C7×D4φ: C22/C2C2 ⊆ Out S3×C14844(S3xC14):10C2^2336,188
(S3×C14)⋊11C22 = C14×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C14168(S3xC14):11C2^2336,193

Non-split extensions G=N.Q with N=S3×C14 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C14).1C22 = D12⋊D7φ: C22/C1C22 ⊆ Out S3×C141684(S3xC14).1C2^2336,141
(S3×C14).2C22 = D125D7φ: C22/C1C22 ⊆ Out S3×C141684-(S3xC14).2C2^2336,145
(S3×C14).3C22 = C42.C23φ: C22/C1C22 ⊆ Out S3×C141684-(S3xC14).3C2^2336,153
(S3×C14).4C22 = Dic3.D14φ: C22/C1C22 ⊆ Out S3×C141684(S3xC14).4C2^2336,155
(S3×C14).5C22 = D285S3φ: C22/C2C2 ⊆ Out S3×C141684-(S3xC14).5C2^2336,138
(S3×C14).6C22 = S3×Dic14φ: C22/C2C2 ⊆ Out S3×C141684-(S3xC14).6C2^2336,140
(S3×C14).7C22 = D84⋊C2φ: C22/C2C2 ⊆ Out S3×C141684+(S3xC14).7C2^2336,142
(S3×C14).8C22 = D6.D14φ: C22/C2C2 ⊆ Out S3×C141684(S3xC14).8C2^2336,144
(S3×C14).9C22 = C4×S3×D7φ: C22/C2C2 ⊆ Out S3×C14844(S3xC14).9C2^2336,147
(S3×C14).10C22 = S3×D28φ: C22/C2C2 ⊆ Out S3×C14844+(S3xC14).10C2^2336,149
(S3×C14).11C22 = C2×S3×Dic7φ: C22/C2C2 ⊆ Out S3×C14168(S3xC14).11C2^2336,154
(S3×C14).12C22 = C7×C4○D12φ: C22/C2C2 ⊆ Out S3×C141682(S3xC14).12C2^2336,187
(S3×C14).13C22 = C7×D42S3φ: C22/C2C2 ⊆ Out S3×C141684(S3xC14).13C2^2336,189
(S3×C14).14C22 = C7×Q83S3φ: C22/C2C2 ⊆ Out S3×C141684(S3xC14).14C2^2336,191
(S3×C14).15C22 = S3×C2×C28φ: trivial image168(S3xC14).15C2^2336,185
(S3×C14).16C22 = S3×C7×Q8φ: trivial image1684(S3xC14).16C2^2336,190

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