# Extensions 1→N→G→Q→1 with N=S3×C2×C14 and Q=C2

Direct product G=N×Q with N=S3×C2×C14 and Q=C2
dρLabelID
S3×C22×C14168S3xC2^2xC14336,226

Semidirect products G=N:Q with N=S3×C2×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C14)⋊1C2 = C2×C21⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14):1C2336,157
(S3×C2×C14)⋊2C2 = C2×C7⋊D12φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14):2C2336,159
(S3×C2×C14)⋊3C2 = S3×C7⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C14844(S3xC2xC14):3C2336,162
(S3×C2×C14)⋊4C2 = C22×S3×D7φ: C2/C1C2 ⊆ Out S3×C2×C1484(S3xC2xC14):4C2336,219
(S3×C2×C14)⋊5C2 = C14×D12φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14):5C2336,186
(S3×C2×C14)⋊6C2 = S3×C7×D4φ: C2/C1C2 ⊆ Out S3×C2×C14844(S3xC2xC14):6C2336,188
(S3×C2×C14)⋊7C2 = C14×C3⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14):7C2336,193

Non-split extensions G=N.Q with N=S3×C2×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C14).1C2 = D6⋊Dic7φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14).1C2336,43
(S3×C2×C14).2C2 = C2×S3×Dic7φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14).2C2336,154
(S3×C2×C14).3C2 = C7×D6⋊C4φ: C2/C1C2 ⊆ Out S3×C2×C14168(S3xC2xC14).3C2336,84
(S3×C2×C14).4C2 = S3×C2×C28φ: trivial image168(S3xC2xC14).4C2336,185

׿
×
𝔽