Extensions 1→N→G→Q→1 with N=Q8×C20 and Q=C2

Direct product G=N×Q with N=Q8×C20 and Q=C2
dρLabelID
Q8×C2×C20320Q8xC2xC20320,1518

Semidirect products G=N:Q with N=Q8×C20 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C20)⋊1C2 = C4×Q8⋊D5φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):1C2320,652
(Q8×C20)⋊2C2 = C42.56D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):2C2320,653
(Q8×C20)⋊3C2 = Q8⋊D20φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):3C2320,654
(Q8×C20)⋊4C2 = Q8.1D20φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):4C2320,655
(Q8×C20)⋊5C2 = C42.122D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):5C2320,1240
(Q8×C20)⋊6C2 = C4×Q8×D5φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):6C2320,1243
(Q8×C20)⋊7C2 = C42.125D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):7C2320,1244
(Q8×C20)⋊8C2 = C4×Q82D5φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):8C2320,1245
(Q8×C20)⋊9C2 = C42.126D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):9C2320,1246
(Q8×C20)⋊10C2 = Q8×D20φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):10C2320,1247
(Q8×C20)⋊11C2 = Q85D20φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):11C2320,1248
(Q8×C20)⋊12C2 = Q86D20φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):12C2320,1249
(Q8×C20)⋊13C2 = C42.232D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):13C2320,1250
(Q8×C20)⋊14C2 = D2010Q8φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):14C2320,1251
(Q8×C20)⋊15C2 = C42.131D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):15C2320,1252
(Q8×C20)⋊16C2 = C42.132D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):16C2320,1253
(Q8×C20)⋊17C2 = C42.133D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):17C2320,1254
(Q8×C20)⋊18C2 = C42.134D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):18C2320,1255
(Q8×C20)⋊19C2 = C42.135D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):19C2320,1256
(Q8×C20)⋊20C2 = C42.136D10φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):20C2320,1257
(Q8×C20)⋊21C2 = SD16×C20φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):21C2320,939
(Q8×C20)⋊22C2 = C5×SD16⋊C4φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):22C2320,941
(Q8×C20)⋊23C2 = C5×C4⋊SD16φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):23C2320,961
(Q8×C20)⋊24C2 = C5×Q8.D4φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):24C2320,965
(Q8×C20)⋊25C2 = C5×C23.32C23φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):25C2320,1521
(Q8×C20)⋊26C2 = C5×C23.33C23φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):26C2320,1522
(Q8×C20)⋊27C2 = C5×C23.36C23φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):27C2320,1531
(Q8×C20)⋊28C2 = C5×C23.37C23φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):28C2320,1535
(Q8×C20)⋊29C2 = C5×C22.35C24φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):29C2320,1543
(Q8×C20)⋊30C2 = C5×C22.36C24φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):30C2320,1544
(Q8×C20)⋊31C2 = C5×Q85D4φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):31C2320,1550
(Q8×C20)⋊32C2 = C5×D4×Q8φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):32C2320,1551
(Q8×C20)⋊33C2 = C5×Q86D4φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):33C2320,1552
(Q8×C20)⋊34C2 = C5×C22.46C24φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):34C2320,1554
(Q8×C20)⋊35C2 = C5×D43Q8φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):35C2320,1556
(Q8×C20)⋊36C2 = C5×C22.50C24φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):36C2320,1558
(Q8×C20)⋊37C2 = C5×C22.53C24φ: C2/C1C2 ⊆ Out Q8×C20160(Q8xC20):37C2320,1561
(Q8×C20)⋊38C2 = C4○D4×C20φ: trivial image160(Q8xC20):38C2320,1519

Non-split extensions G=N.Q with N=Q8×C20 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C20).1C2 = C20.26Q16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).1C2320,93
(Q8×C20).2C2 = C20.48SD16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).2C2320,647
(Q8×C20).3C2 = C20.23Q16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).3C2320,648
(Q8×C20).4C2 = Q8.3Dic10φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).4C2320,649
(Q8×C20).5C2 = Q8×C52C8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).5C2320,650
(Q8×C20).6C2 = C42.210D10φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).6C2320,651
(Q8×C20).7C2 = C4×C5⋊Q16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).7C2320,656
(Q8×C20).8C2 = C42.59D10φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).8C2320,657
(Q8×C20).9C2 = C207Q16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).9C2320,658
(Q8×C20).10C2 = Q8×Dic10φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).10C2320,1238
(Q8×C20).11C2 = Dic1010Q8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).11C2320,1239
(Q8×C20).12C2 = Q85Dic10φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).12C2320,1241
(Q8×C20).13C2 = Q86Dic10φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).13C2320,1242
(Q8×C20).14C2 = C5×Q8⋊C8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).14C2320,131
(Q8×C20).15C2 = Q16×C20φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).15C2320,940
(Q8×C20).16C2 = C5×Q16⋊C4φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).16C2320,942
(Q8×C20).17C2 = C5×C84Q8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).17C2320,947
(Q8×C20).18C2 = C5×C42Q16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).18C2320,963
(Q8×C20).19C2 = C5×Q8⋊Q8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).19C2320,976
(Q8×C20).20C2 = C5×C4.Q16φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).20C2320,978
(Q8×C20).21C2 = C5×Q8.Q8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).21C2320,980
(Q8×C20).22C2 = C5×Q83Q8φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).22C2320,1559
(Q8×C20).23C2 = C5×Q82φ: C2/C1C2 ⊆ Out Q8×C20320(Q8xC20).23C2320,1560
(Q8×C20).24C2 = Q8×C40φ: trivial image320(Q8xC20).24C2320,946

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