Extensions 1→N→G→Q→1 with N=C5×C8⋊S3 and Q=C2

Direct product G=N×Q with N=C5×C8⋊S3 and Q=C2
dρLabelID
C10×C8⋊S3240C10xC8:S3480,779

Semidirect products G=N:Q with N=C5×C8⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8⋊S3)⋊1C2 = C401D6φ: C2/C1C2 ⊆ Out C5×C8⋊S31204+(C5xC8:S3):1C2480,329
(C5×C8⋊S3)⋊2C2 = C40.2D6φ: C2/C1C2 ⊆ Out C5×C8⋊S32404-(C5xC8:S3):2C2480,350
(C5×C8⋊S3)⋊3C2 = D40⋊S3φ: C2/C1C2 ⊆ Out C5×C8⋊S31204(C5xC8:S3):3C2480,330
(C5×C8⋊S3)⋊4C2 = Dic20⋊S3φ: C2/C1C2 ⊆ Out C5×C8⋊S32404(C5xC8:S3):4C2480,339
(C5×C8⋊S3)⋊5C2 = D5×C8⋊S3φ: C2/C1C2 ⊆ Out C5×C8⋊S31204(C5xC8:S3):5C2480,320
(C5×C8⋊S3)⋊6C2 = C40⋊D6φ: C2/C1C2 ⊆ Out C5×C8⋊S31204(C5xC8:S3):6C2480,322
(C5×C8⋊S3)⋊7C2 = C40.34D6φ: C2/C1C2 ⊆ Out C5×C8⋊S32404(C5xC8:S3):7C2480,342
(C5×C8⋊S3)⋊8C2 = C40.35D6φ: C2/C1C2 ⊆ Out C5×C8⋊S32404(C5xC8:S3):8C2480,344
(C5×C8⋊S3)⋊9C2 = C5×Q83D6φ: C2/C1C2 ⊆ Out C5×C8⋊S31204(C5xC8:S3):9C2480,793
(C5×C8⋊S3)⋊10C2 = C5×D4.D6φ: C2/C1C2 ⊆ Out C5×C8⋊S32404(C5xC8:S3):10C2480,794
(C5×C8⋊S3)⋊11C2 = C5×D8⋊S3φ: C2/C1C2 ⊆ Out C5×C8⋊S31204(C5xC8:S3):11C2480,790
(C5×C8⋊S3)⋊12C2 = C5×Q16⋊S3φ: C2/C1C2 ⊆ Out C5×C8⋊S32404(C5xC8:S3):12C2480,797
(C5×C8⋊S3)⋊13C2 = C5×S3×M4(2)φ: C2/C1C2 ⊆ Out C5×C8⋊S31204(C5xC8:S3):13C2480,785
(C5×C8⋊S3)⋊14C2 = C5×D12.C4φ: C2/C1C2 ⊆ Out C5×C8⋊S32404(C5xC8:S3):14C2480,786
(C5×C8⋊S3)⋊15C2 = C5×C8○D12φ: trivial image2402(C5xC8:S3):15C2480,780


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