# Extensions 1→N→G→Q→1 with N=S3×C10 and Q=C8

Direct product G=N×Q with N=S3×C10 and Q=C8
dρLabelID
S3×C2×C40240S3xC2xC40480,778

Semidirect products G=N:Q with N=S3×C10 and Q=C8
extensionφ:Q→Out NdρLabelID
(S3×C10)⋊1C8 = Dic5.22D12φ: C8/C2C4 ⊆ Out S3×C10240(S3xC10):1C8480,246
(S3×C10)⋊2C8 = C2×S3×C5⋊C8φ: C8/C2C4 ⊆ Out S3×C10240(S3xC10):2C8480,1002
(S3×C10)⋊3C8 = C60.94D4φ: C8/C4C2 ⊆ Out S3×C10240(S3xC10):3C8480,32
(S3×C10)⋊4C8 = C2×S3×C52C8φ: C8/C4C2 ⊆ Out S3×C10240(S3xC10):4C8480,361
(S3×C10)⋊5C8 = C5×D6⋊C8φ: C8/C4C2 ⊆ Out S3×C10240(S3xC10):5C8480,139

Non-split extensions G=N.Q with N=S3×C10 and Q=C8
extensionφ:Q→Out NdρLabelID
(S3×C10).1C8 = S3×C5⋊C16φ: C8/C2C4 ⊆ Out S3×C102408(S3xC10).1C8480,239
(S3×C10).2C8 = C15⋊M5(2)φ: C8/C2C4 ⊆ Out S3×C102408(S3xC10).2C8480,241
(S3×C10).3C8 = S3×C52C16φ: C8/C4C2 ⊆ Out S3×C102404(S3xC10).3C8480,8
(S3×C10).4C8 = C40.52D6φ: C8/C4C2 ⊆ Out S3×C102404(S3xC10).4C8480,11
(S3×C10).5C8 = C5×D6.C8φ: C8/C4C2 ⊆ Out S3×C102402(S3xC10).5C8480,117
(S3×C10).6C8 = S3×C80φ: trivial image2402(S3xC10).6C8480,116

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