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Extensions 1→N→G→Q→1 with N=C2×Dic5 and Q=Q8

Direct product G=N×Q with N=C2×Dic5 and Q=Q8
dρLabelID
C2×Q8×Dic5320C2xQ8xDic5320,1483

Semidirect products G=N:Q with N=C2×Dic5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×Dic5)⋊1Q8 = (C2×Dic5)⋊Q8φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5):1Q8320,283
(C2×Dic5)⋊2Q8 = (C2×C4)⋊Dic10φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5):2Q8320,606
(C2×Dic5)⋊3Q8 = C10.C22≀C2φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5):3Q8320,856
(C2×Dic5)⋊4Q8 = C10.502+ 1+4φ: Q8/C2 → C22 ⊆ Out C2×Dic5160(C2xDic5):4Q8320,1295
(C2×Dic5)⋊5Q8 = (C2×C20)⋊Q8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5):5Q8320,273
(C2×Dic5)⋊6Q8 = (C2×Dic5)⋊6Q8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5):6Q8320,601
(C2×Dic5)⋊7Q8 = (Q8×C10)⋊17C4φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5):7Q8320,857
(C2×Dic5)⋊8Q8 = C2×C20⋊Q8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5):8Q8320,1169
(C2×Dic5)⋊9Q8 = (Q8×Dic5)⋊C2φ: Q8/C4 → C2 ⊆ Out C2×Dic5160(C2xDic5):9Q8320,1294
(C2×Dic5)⋊10Q8 = C2×Dic5⋊Q8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5):10Q8320,1482
(C2×Dic5)⋊11Q8 = C2×Dic5⋊3Q8φ: trivial image320(C2xDic5):11Q8320,1168

Non-split extensions G=N.Q with N=C2×Dic5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×Dic5).1Q8 = C2.(C20⋊Q8)φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).1Q8320,284
(C2×Dic5).2Q8 = (C2×Dic5).Q8φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).2Q8320,285
(C2×Dic5).3Q8 = (C2×C20).28D4φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).3Q8320,286
(C2×Dic5).4Q8 = M4(2).25D10φ: Q8/C2 → C22 ⊆ Out C2×Dic5804(C2xDic5).4Q8320,520
(C2×Dic5).5Q8 = (C2×C20).287D4φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).5Q8320,607
(C2×Dic5).6Q8 = (C2×C20).288D4φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).6Q8320,609
(C2×Dic5).7Q8 = (C2×C20).53D4φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).7Q8320,610
(C2×Dic5).8Q8 = (C2×C20).54D4φ: Q8/C2 → C22 ⊆ Out C2×Dic5320(C2xDic5).8Q8320,611
(C2×Dic5).9Q8 = C22⋊C4.F5φ: Q8/C2 → C22 ⊆ Out C2×Dic5808-(C2xDic5).9Q8320,205
(C2×Dic5).10Q8 = C20.24C42φ: Q8/C2 → C22 ⊆ Out C2×Dic5804(C2xDic5).10Q8320,233
(C2×Dic5).11Q8 = M4(2)⋊3F5φ: Q8/C2 → C22 ⊆ Out C2×Dic5408(C2xDic5).11Q8320,238
(C2×Dic5).12Q8 = C22.F5⋊C4φ: Q8/C2 → C22 ⊆ Out C2×Dic5160(C2xDic5).12Q8320,257
(C2×Dic5).13Q8 = C20⋊C8⋊C2φ: Q8/C2 → C22 ⊆ Out C2×Dic5160(C2xDic5).13Q8320,1034
(C2×Dic5).14Q8 = M4(2)⋊1F5φ: Q8/C2 → C22 ⊆ Out C2×Dic5408(C2xDic5).14Q8320,1065
(C2×Dic5).15Q8 = C10.49(C4×D4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).15Q8320,274
(C2×Dic5).16Q8 = C5⋊2(C42⋊8C4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).16Q8320,277
(C2×Dic5).17Q8 = C10.51(C4×D4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).17Q8320,279
(C2×Dic5).18Q8 = C2.(C4×D20)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).18Q8320,280
(C2×Dic5).19Q8 = D5×C8.C4φ: Q8/C4 → C2 ⊆ Out C2×Dic5804(C2xDic5).19Q8320,519
(C2×Dic5).20Q8 = C10.96(C4×D4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).20Q8320,599
(C2×Dic5).21Q8 = C20⋊4(C4⋊C4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).21Q8320,600
(C2×Dic5).22Q8 = C20⋊5(C4⋊C4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).22Q8320,603
(C2×Dic5).23Q8 = C10.97(C4×D4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).23Q8320,605
(C2×Dic5).24Q8 = C4⋊C4⋊5Dic5φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).24Q8320,608
(C2×Dic5).25Q8 = C20⋊6(C4⋊C4)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).25Q8320,612
(C2×Dic5).26Q8 = C2×Dic5.Q8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).26Q8320,1170
(C2×Dic5).27Q8 = C40⋊2C8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).27Q8320,219
(C2×Dic5).28Q8 = C40⋊1C8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).28Q8320,220
(C2×Dic5).29Q8 = C20.26M4(2)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).29Q8320,221
(C2×Dic5).30Q8 = Dic5.13D8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).30Q8320,222
(C2×Dic5).31Q8 = D10.10D8φ: Q8/C4 → C2 ⊆ Out C2×Dic580(C2xDic5).31Q8320,231
(C2×Dic5).32Q8 = C10.(C4⋊C8)φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).32Q8320,256
(C2×Dic5).33Q8 = C2×C40⋊C4φ: Q8/C4 → C2 ⊆ Out C2×Dic580(C2xDic5).33Q8320,1057
(C2×Dic5).34Q8 = C2×D5.D8φ: Q8/C4 → C2 ⊆ Out C2×Dic580(C2xDic5).34Q8320,1058
(C2×Dic5).35Q8 = (C2×C8)⋊6F5φ: Q8/C4 → C2 ⊆ Out C2×Dic5804(C2xDic5).35Q8320,1059
(C2×Dic5).36Q8 = C2×C20⋊C8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).36Q8320,1085
(C2×Dic5).37Q8 = C2×Dic5⋊C8φ: Q8/C4 → C2 ⊆ Out C2×Dic5320(C2xDic5).37Q8320,1090
(C2×Dic5).38Q8 = C20⋊8M4(2)φ: Q8/C4 → C2 ⊆ Out C2×Dic5160(C2xDic5).38Q8320,1096
(C2×Dic5).39Q8 = Dic5⋊2C42φ: trivial image320(C2xDic5).39Q8320,276
(C2×Dic5).40Q8 = C4⋊C4×Dic5φ: trivial image320(C2xDic5).40Q8320,602

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