# Extensions 1→N→G→Q→1 with N=S3×C20 and Q=C4

Direct product G=N×Q with N=S3×C20 and Q=C4
dρLabelID
S3×C4×C20240S3xC4xC20480,750

Semidirect products G=N:Q with N=S3×C20 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C20)⋊1C4 = C4⋊F53S3φ: C4/C1C4 ⊆ Out S3×C201208(S3xC20):1C4480,983
(S3×C20)⋊2C4 = S3×C4⋊F5φ: C4/C1C4 ⊆ Out S3×C20608(S3xC20):2C4480,996
(S3×C20)⋊3C4 = (C4×S3)⋊F5φ: C4/C1C4 ⊆ Out S3×C201208(S3xC20):3C4480,985
(S3×C20)⋊4C4 = C4×S3×F5φ: C4/C1C4 ⊆ Out S3×C20608(S3xC20):4C4480,994
(S3×C20)⋊5C4 = (S3×C20)⋊5C4φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):5C4480,414
(S3×C20)⋊6C4 = S3×C4⋊Dic5φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):6C4480,502
(S3×C20)⋊7C4 = (S3×C20)⋊7C4φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):7C4480,447
(S3×C20)⋊8C4 = C4×S3×Dic5φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):8C4480,473
(S3×C20)⋊9C4 = C5×S3×C4⋊C4φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):9C4480,770
(S3×C20)⋊10C4 = C5×C4⋊C47S3φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):10C4480,771
(S3×C20)⋊11C4 = C5×C422S3φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20):11C4480,751

Non-split extensions G=N.Q with N=S3×C20 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C20).1C4 = S3×C4.F5φ: C4/C1C4 ⊆ Out S3×C201208(S3xC20).1C4480,988
(S3×C20).2C4 = D15⋊M4(2)φ: C4/C1C4 ⊆ Out S3×C201208(S3xC20).2C4480,991
(S3×C20).3C4 = S3×C5⋊C16φ: C4/C1C4 ⊆ Out S3×C202408(S3xC20).3C4480,239
(S3×C20).4C4 = C15⋊M5(2)φ: C4/C1C4 ⊆ Out S3×C202408(S3xC20).4C4480,241
(S3×C20).5C4 = S3×D5⋊C8φ: C4/C1C4 ⊆ Out S3×C201208(S3xC20).5C4480,986
(S3×C20).6C4 = C5⋊C8⋊D6φ: C4/C1C4 ⊆ Out S3×C201208(S3xC20).6C4480,993
(S3×C20).7C4 = S3×C4.Dic5φ: C4/C2C2 ⊆ Out S3×C201204(S3xC20).7C4480,363
(S3×C20).8C4 = S3×C52C16φ: C4/C2C2 ⊆ Out S3×C202404(S3xC20).8C4480,8
(S3×C20).9C4 = C40.52D6φ: C4/C2C2 ⊆ Out S3×C202404(S3xC20).9C4480,11
(S3×C20).10C4 = C2×S3×C52C8φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20).10C4480,361
(S3×C20).11C4 = C2×D6.Dic5φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20).11C4480,370
(S3×C20).12C4 = C5×S3×M4(2)φ: C4/C2C2 ⊆ Out S3×C201204(S3xC20).12C4480,785
(S3×C20).13C4 = C5×D6.C8φ: C4/C2C2 ⊆ Out S3×C202402(S3xC20).13C4480,117
(S3×C20).14C4 = C10×C8⋊S3φ: C4/C2C2 ⊆ Out S3×C20240(S3xC20).14C4480,779
(S3×C20).15C4 = S3×C80φ: trivial image2402(S3xC20).15C4480,116
(S3×C20).16C4 = S3×C2×C40φ: trivial image240(S3xC20).16C4480,778

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