# Extensions 1→N→G→Q→1 with N=C2×C16 and Q=S3

Direct product G=N×Q with N=C2×C16 and Q=S3
dρLabelID
S3×C2×C1696S3xC2xC16192,458

Semidirect products G=N:Q with N=C2×C16 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2×C16)⋊1S3 = D6⋊C16φ: S3/C3C2 ⊆ Aut C2×C1696(C2xC16):1S3192,66
(C2×C16)⋊2S3 = D12.C8φ: S3/C3C2 ⊆ Aut C2×C16962(C2xC16):2S3192,67
(C2×C16)⋊3S3 = C2.D48φ: S3/C3C2 ⊆ Aut C2×C1696(C2xC16):3S3192,68
(C2×C16)⋊4S3 = D24.1C4φ: S3/C3C2 ⊆ Aut C2×C16962(C2xC16):4S3192,69
(C2×C16)⋊5S3 = C2×D48φ: S3/C3C2 ⊆ Aut C2×C1696(C2xC16):5S3192,461
(C2×C16)⋊6S3 = D487C2φ: S3/C3C2 ⊆ Aut C2×C16962(C2xC16):6S3192,463
(C2×C16)⋊7S3 = C2×C48⋊C2φ: S3/C3C2 ⊆ Aut C2×C1696(C2xC16):7S3192,462
(C2×C16)⋊8S3 = C2×D6.C8φ: S3/C3C2 ⊆ Aut C2×C1696(C2xC16):8S3192,459
(C2×C16)⋊9S3 = D12.4C8φ: S3/C3C2 ⊆ Aut C2×C16962(C2xC16):9S3192,460

Non-split extensions G=N.Q with N=C2×C16 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2×C16).1S3 = Dic3⋊C16φ: S3/C3C2 ⊆ Aut C2×C16192(C2xC16).1S3192,60
(C2×C16).2S3 = C2.Dic24φ: S3/C3C2 ⊆ Aut C2×C16192(C2xC16).2S3192,62
(C2×C16).3S3 = C485C4φ: S3/C3C2 ⊆ Aut C2×C16192(C2xC16).3S3192,63
(C2×C16).4S3 = C2×Dic24φ: S3/C3C2 ⊆ Aut C2×C16192(C2xC16).4S3192,464
(C2×C16).5S3 = C48.C4φ: S3/C3C2 ⊆ Aut C2×C16962(C2xC16).5S3192,65
(C2×C16).6S3 = C486C4φ: S3/C3C2 ⊆ Aut C2×C16192(C2xC16).6S3192,64
(C2×C16).7S3 = C3⋊M6(2)φ: S3/C3C2 ⊆ Aut C2×C16962(C2xC16).7S3192,58
(C2×C16).8S3 = C4810C4φ: S3/C3C2 ⊆ Aut C2×C16192(C2xC16).8S3192,61
(C2×C16).9S3 = C2×C3⋊C32central extension (φ=1)192(C2xC16).9S3192,57
(C2×C16).10S3 = Dic3×C16central extension (φ=1)192(C2xC16).10S3192,59

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