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Extensions 1→N→G→Q→1 with N=C2xDic5 and Q=Q8

Direct product G=NxQ with N=C2xDic5 and Q=Q8
dρLabelID
C2xQ8xDic5320C2xQ8xDic5320,1483

Semidirect products G=N:Q with N=C2xDic5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xDic5):1Q8 = (C2xDic5):Q8φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5):1Q8320,283
(C2xDic5):2Q8 = (C2xC4):Dic10φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5):2Q8320,606
(C2xDic5):3Q8 = C10.C22wrC2φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5):3Q8320,856
(C2xDic5):4Q8 = C10.502+ 1+4φ: Q8/C2 → C22 ⊆ Out C2xDic5160(C2xDic5):4Q8320,1295
(C2xDic5):5Q8 = (C2xC20):Q8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5):5Q8320,273
(C2xDic5):6Q8 = (C2xDic5):6Q8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5):6Q8320,601
(C2xDic5):7Q8 = (Q8xC10):17C4φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5):7Q8320,857
(C2xDic5):8Q8 = C2xC20:Q8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5):8Q8320,1169
(C2xDic5):9Q8 = (Q8xDic5):C2φ: Q8/C4 → C2 ⊆ Out C2xDic5160(C2xDic5):9Q8320,1294
(C2xDic5):10Q8 = C2xDic5:Q8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5):10Q8320,1482
(C2xDic5):11Q8 = C2xDic5:3Q8φ: trivial image320(C2xDic5):11Q8320,1168

Non-split extensions G=N.Q with N=C2xDic5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xDic5).1Q8 = C2.(C20:Q8)φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).1Q8320,284
(C2xDic5).2Q8 = (C2xDic5).Q8φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).2Q8320,285
(C2xDic5).3Q8 = (C2xC20).28D4φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).3Q8320,286
(C2xDic5).4Q8 = M4(2).25D10φ: Q8/C2 → C22 ⊆ Out C2xDic5804(C2xDic5).4Q8320,520
(C2xDic5).5Q8 = (C2xC20).287D4φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).5Q8320,607
(C2xDic5).6Q8 = (C2xC20).288D4φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).6Q8320,609
(C2xDic5).7Q8 = (C2xC20).53D4φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).7Q8320,610
(C2xDic5).8Q8 = (C2xC20).54D4φ: Q8/C2 → C22 ⊆ Out C2xDic5320(C2xDic5).8Q8320,611
(C2xDic5).9Q8 = C22:C4.F5φ: Q8/C2 → C22 ⊆ Out C2xDic5808-(C2xDic5).9Q8320,205
(C2xDic5).10Q8 = C20.24C42φ: Q8/C2 → C22 ⊆ Out C2xDic5804(C2xDic5).10Q8320,233
(C2xDic5).11Q8 = M4(2):3F5φ: Q8/C2 → C22 ⊆ Out C2xDic5408(C2xDic5).11Q8320,238
(C2xDic5).12Q8 = C22.F5:C4φ: Q8/C2 → C22 ⊆ Out C2xDic5160(C2xDic5).12Q8320,257
(C2xDic5).13Q8 = C20:C8:C2φ: Q8/C2 → C22 ⊆ Out C2xDic5160(C2xDic5).13Q8320,1034
(C2xDic5).14Q8 = M4(2):1F5φ: Q8/C2 → C22 ⊆ Out C2xDic5408(C2xDic5).14Q8320,1065
(C2xDic5).15Q8 = C10.49(C4xD4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).15Q8320,274
(C2xDic5).16Q8 = C5:2(C42:8C4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).16Q8320,277
(C2xDic5).17Q8 = C10.51(C4xD4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).17Q8320,279
(C2xDic5).18Q8 = C2.(C4xD20)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).18Q8320,280
(C2xDic5).19Q8 = D5xC8.C4φ: Q8/C4 → C2 ⊆ Out C2xDic5804(C2xDic5).19Q8320,519
(C2xDic5).20Q8 = C10.96(C4xD4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).20Q8320,599
(C2xDic5).21Q8 = C20:4(C4:C4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).21Q8320,600
(C2xDic5).22Q8 = C20:5(C4:C4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).22Q8320,603
(C2xDic5).23Q8 = C10.97(C4xD4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).23Q8320,605
(C2xDic5).24Q8 = C4:C4:5Dic5φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).24Q8320,608
(C2xDic5).25Q8 = C20:6(C4:C4)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).25Q8320,612
(C2xDic5).26Q8 = C2xDic5.Q8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).26Q8320,1170
(C2xDic5).27Q8 = C40:2C8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).27Q8320,219
(C2xDic5).28Q8 = C40:1C8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).28Q8320,220
(C2xDic5).29Q8 = C20.26M4(2)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).29Q8320,221
(C2xDic5).30Q8 = Dic5.13D8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).30Q8320,222
(C2xDic5).31Q8 = D10.10D8φ: Q8/C4 → C2 ⊆ Out C2xDic580(C2xDic5).31Q8320,231
(C2xDic5).32Q8 = C10.(C4:C8)φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).32Q8320,256
(C2xDic5).33Q8 = C2xC40:C4φ: Q8/C4 → C2 ⊆ Out C2xDic580(C2xDic5).33Q8320,1057
(C2xDic5).34Q8 = C2xD5.D8φ: Q8/C4 → C2 ⊆ Out C2xDic580(C2xDic5).34Q8320,1058
(C2xDic5).35Q8 = (C2xC8):6F5φ: Q8/C4 → C2 ⊆ Out C2xDic5804(C2xDic5).35Q8320,1059
(C2xDic5).36Q8 = C2xC20:C8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).36Q8320,1085
(C2xDic5).37Q8 = C2xDic5:C8φ: Q8/C4 → C2 ⊆ Out C2xDic5320(C2xDic5).37Q8320,1090
(C2xDic5).38Q8 = C20:8M4(2)φ: Q8/C4 → C2 ⊆ Out C2xDic5160(C2xDic5).38Q8320,1096
(C2xDic5).39Q8 = Dic5:2C42φ: trivial image320(C2xDic5).39Q8320,276
(C2xDic5).40Q8 = C4:C4xDic5φ: trivial image320(C2xDic5).40Q8320,602

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