# Extensions 1→N→G→Q→1 with N=C22×C8 and Q=S3

Direct product G=N×Q with N=C22×C8 and Q=S3
dρLabelID
S3×C22×C896S3xC2^2xC8192,1295

Semidirect products G=N:Q with N=C22×C8 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C22×C8)⋊1S3 = C8×S4φ: S3/C1S3 ⊆ Aut C22×C8243(C2^2xC8):1S3192,958
(C22×C8)⋊2S3 = A4⋊D8φ: S3/C1S3 ⊆ Aut C22×C8246+(C2^2xC8):2S3192,961
(C22×C8)⋊3S3 = C82S4φ: S3/C1S3 ⊆ Aut C22×C8246(C2^2xC8):3S3192,960
(C22×C8)⋊4S3 = C8⋊S4φ: S3/C1S3 ⊆ Aut C22×C8246(C2^2xC8):4S3192,959
(C22×C8)⋊5S3 = C2×D6⋊C8φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):5S3192,667
(C22×C8)⋊6S3 = C8×C3⋊D4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):6S3192,668
(C22×C8)⋊7S3 = (C22×C8)⋊7S3φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):7S3192,669
(C22×C8)⋊8S3 = C2×C2.D24φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):8S3192,671
(C22×C8)⋊9S3 = C23.28D12φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):9S3192,672
(C22×C8)⋊10S3 = C2429D4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):10S3192,674
(C22×C8)⋊11S3 = C22×D24φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):11S3192,1299
(C22×C8)⋊12S3 = C2×C4○D24φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):12S3192,1300
(C22×C8)⋊13S3 = C2430D4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):13S3192,673
(C22×C8)⋊14S3 = C22×C24⋊C2φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):14S3192,1298
(C22×C8)⋊15S3 = C2433D4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):15S3192,670
(C22×C8)⋊16S3 = C22×C8⋊S3φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):16S3192,1296
(C22×C8)⋊17S3 = C2×C8○D12φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8):17S3192,1297

Non-split extensions G=N.Q with N=C22×C8 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C22×C8).1S3 = A4⋊C16φ: S3/C1S3 ⊆ Aut C22×C8483(C2^2xC8).1S3192,186
(C22×C8).2S3 = A4⋊Q16φ: S3/C1S3 ⊆ Aut C22×C8486-(C2^2xC8).2S3192,957
(C22×C8).3S3 = C24.98D4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).3S3192,108
(C22×C8).4S3 = (C2×C24)⋊5C4φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).4S3192,109
(C22×C8).5S3 = C12.9C42φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).5S3192,110
(C22×C8).6S3 = C12.10C42φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).6S3192,111
(C22×C8).7S3 = C2×Dic3⋊C8φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).7S3192,658
(C22×C8).8S3 = Dic3⋊C8⋊C2φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).8S3192,661
(C22×C8).9S3 = C2×C2.Dic12φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).9S3192,662
(C22×C8).10S3 = C2×C241C4φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).10S3192,664
(C22×C8).11S3 = C24.82D4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).11S3192,675
(C22×C8).12S3 = C22×Dic12φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).12S3192,1301
(C22×C8).13S3 = C23.27D12φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).13S3192,665
(C22×C8).14S3 = C2×C24.C4φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).14S3192,666
(C22×C8).15S3 = C2×C8⋊Dic3φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).15S3192,663
(C22×C8).16S3 = C2×C12.C8φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).16S3192,656
(C22×C8).17S3 = C2×C24⋊C4φ: S3/C3C2 ⊆ Aut C22×C8192(C2^2xC8).17S3192,659
(C22×C8).18S3 = C12.12C42φ: S3/C3C2 ⊆ Aut C22×C896(C2^2xC8).18S3192,660
(C22×C8).19S3 = C22×C3⋊C16central extension (φ=1)192(C2^2xC8).19S3192,655
(C22×C8).20S3 = Dic3×C2×C8central extension (φ=1)192(C2^2xC8).20S3192,657

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