Extensions 1→N→G→Q→1 with N=C4×Q8 and Q=D5

Direct product G=N×Q with N=C4×Q8 and Q=D5
dρLabelID
C4×Q8×D5160C4xQ8xD5320,1243

Semidirect products G=N:Q with N=C4×Q8 and Q=D5
extensionφ:Q→Out NdρLabelID
(C4×Q8)⋊1D5 = C4×Q8⋊D5φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):1D5320,652
(C4×Q8)⋊2D5 = C42.56D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):2D5320,653
(C4×Q8)⋊3D5 = Q8⋊D20φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):3D5320,654
(C4×Q8)⋊4D5 = Q8.1D20φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):4D5320,655
(C4×Q8)⋊5D5 = C42.122D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):5D5320,1240
(C4×Q8)⋊6D5 = C42.125D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):6D5320,1244
(C4×Q8)⋊7D5 = C42.126D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):7D5320,1246
(C4×Q8)⋊8D5 = Q8×D20φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):8D5320,1247
(C4×Q8)⋊9D5 = Q85D20φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):9D5320,1248
(C4×Q8)⋊10D5 = Q86D20φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):10D5320,1249
(C4×Q8)⋊11D5 = C42.232D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):11D5320,1250
(C4×Q8)⋊12D5 = D2010Q8φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):12D5320,1251
(C4×Q8)⋊13D5 = C42.131D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):13D5320,1252
(C4×Q8)⋊14D5 = C42.132D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):14D5320,1253
(C4×Q8)⋊15D5 = C42.133D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):15D5320,1254
(C4×Q8)⋊16D5 = C42.134D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):16D5320,1255
(C4×Q8)⋊17D5 = C42.135D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):17D5320,1256
(C4×Q8)⋊18D5 = C42.136D10φ: D5/C5C2 ⊆ Out C4×Q8160(C4xQ8):18D5320,1257
(C4×Q8)⋊19D5 = C4×Q82D5φ: trivial image160(C4xQ8):19D5320,1245

Non-split extensions G=N.Q with N=C4×Q8 and Q=D5
extensionφ:Q→Out NdρLabelID
(C4×Q8).1D5 = C20.26Q16φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).1D5320,93
(C4×Q8).2D5 = C20.48SD16φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).2D5320,647
(C4×Q8).3D5 = C20.23Q16φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).3D5320,648
(C4×Q8).4D5 = Q8.3Dic10φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).4D5320,649
(C4×Q8).5D5 = C42.210D10φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).5D5320,651
(C4×Q8).6D5 = C4×C5⋊Q16φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).6D5320,656
(C4×Q8).7D5 = C42.59D10φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).7D5320,657
(C4×Q8).8D5 = C207Q16φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).8D5320,658
(C4×Q8).9D5 = Q8×Dic10φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).9D5320,1238
(C4×Q8).10D5 = Dic1010Q8φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).10D5320,1239
(C4×Q8).11D5 = Q85Dic10φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).11D5320,1241
(C4×Q8).12D5 = Q86Dic10φ: D5/C5C2 ⊆ Out C4×Q8320(C4xQ8).12D5320,1242
(C4×Q8).13D5 = Q8×C52C8φ: trivial image320(C4xQ8).13D5320,650

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