Extensions 1→N→G→Q→1 with N=C5×C24⋊C2 and Q=C2

Direct product G=N×Q with N=C5×C24⋊C2 and Q=C2
dρLabelID
C10×C24⋊C2240C10xC24:C2480,781

Semidirect products G=N:Q with N=C5×C24⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C24⋊C2)⋊1C2 = C24⋊D10φ: C2/C1C2 ⊆ Out C5×C24⋊C21204+(C5xC24:C2):1C2480,325
(C5×C24⋊C2)⋊2C2 = Dic60⋊C2φ: C2/C1C2 ⊆ Out C5×C24⋊C22404-(C5xC24:C2):2C2480,336
(C5×C24⋊C2)⋊3C2 = D5×C24⋊C2φ: C2/C1C2 ⊆ Out C5×C24⋊C21204(C5xC24:C2):3C2480,323
(C5×C24⋊C2)⋊4C2 = C40.31D6φ: C2/C1C2 ⊆ Out C5×C24⋊C22404(C5xC24:C2):4C2480,345
(C5×C24⋊C2)⋊5C2 = C408D6φ: C2/C1C2 ⊆ Out C5×C24⋊C21204(C5xC24:C2):5C2480,334
(C5×C24⋊C2)⋊6C2 = D30.4D4φ: C2/C1C2 ⊆ Out C5×C24⋊C22404(C5xC24:C2):6C2480,356
(C5×C24⋊C2)⋊7C2 = C4014D6φ: C2/C1C2 ⊆ Out C5×C24⋊C21204(C5xC24:C2):7C2480,331
(C5×C24⋊C2)⋊8C2 = Dic6.D10φ: C2/C1C2 ⊆ Out C5×C24⋊C22404(C5xC24:C2):8C2480,352
(C5×C24⋊C2)⋊9C2 = C5×C8⋊D6φ: C2/C1C2 ⊆ Out C5×C24⋊C21204(C5xC24:C2):9C2480,787
(C5×C24⋊C2)⋊10C2 = C5×C8.D6φ: C2/C1C2 ⊆ Out C5×C24⋊C22404(C5xC24:C2):10C2480,788
(C5×C24⋊C2)⋊11C2 = C5×D8⋊S3φ: C2/C1C2 ⊆ Out C5×C24⋊C21204(C5xC24:C2):11C2480,790
(C5×C24⋊C2)⋊12C2 = C5×Q16⋊S3φ: C2/C1C2 ⊆ Out C5×C24⋊C22404(C5xC24:C2):12C2480,797
(C5×C24⋊C2)⋊13C2 = C5×S3×SD16φ: C2/C1C2 ⊆ Out C5×C24⋊C21204(C5xC24:C2):13C2480,792
(C5×C24⋊C2)⋊14C2 = C5×Q8.7D6φ: C2/C1C2 ⊆ Out C5×C24⋊C22404(C5xC24:C2):14C2480,795
(C5×C24⋊C2)⋊15C2 = C5×C4○D24φ: trivial image2402(C5xC24:C2):15C2480,783


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