# Extensions 1→N→G→Q→1 with N=S3×Q8 and Q=S3

Direct product G=N×Q with N=S3×Q8 and Q=S3
dρLabelID
S32×Q8488-S3^2xQ8288,965

Semidirect products G=N:Q with N=S3×Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
(S3×Q8)⋊1S3 = D6.S4φ: S3/C1S3 ⊆ Out S3×Q8484-(S3xQ8):1S3288,849
(S3×Q8)⋊2S3 = D6.2S4φ: S3/C1S3 ⊆ Out S3×Q8484(S3xQ8):2S3288,850
(S3×Q8)⋊3S3 = S3×GL2(𝔽3)φ: S3/C1S3 ⊆ Out S3×Q8244(S3xQ8):3S3288,851
(S3×Q8)⋊4S3 = S3×Q82S3φ: S3/C3C2 ⊆ Out S3×Q8488+(S3xQ8):4S3288,586
(S3×Q8)⋊5S3 = D12.24D6φ: S3/C3C2 ⊆ Out S3×Q8968-(S3xQ8):5S3288,594
(S3×Q8)⋊6S3 = Dic6.22D6φ: S3/C3C2 ⊆ Out S3×Q8488+(S3xQ8):6S3288,596
(S3×Q8)⋊7S3 = D12.25D6φ: S3/C3C2 ⊆ Out S3×Q8488-(S3xQ8):7S3288,963
(S3×Q8)⋊8S3 = Dic6.26D6φ: S3/C3C2 ⊆ Out S3×Q8488+(S3xQ8):8S3288,964
(S3×Q8)⋊9S3 = S3×Q83S3φ: trivial image488+(S3xQ8):9S3288,966

Non-split extensions G=N.Q with N=S3×Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
(S3×Q8).S3 = S3×CSU2(𝔽3)φ: S3/C1S3 ⊆ Out S3×Q8484-(S3xQ8).S3288,848
(S3×Q8).2S3 = S3×C3⋊Q16φ: S3/C3C2 ⊆ Out S3×Q8968-(S3xQ8).2S3288,590

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