Extensions 1→N→G→Q→1 with N=D10 and Q=C2xQ8

Direct product G=NxQ with N=D10 and Q=C2xQ8
dρLabelID
C22xQ8xD5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=D10 and Q=C2xQ8
extensionφ:Q→Out NdρLabelID
D10:1(C2xQ8) = C2xD10:Q8φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10:1(C2xQ8)320,1180
D10:2(C2xQ8) = C2xD10:2Q8φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10:2(C2xQ8)320,1181
D10:3(C2xQ8) = D5xC22:Q8φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10:3(C2xQ8)320,1298
D10:4(C2xQ8) = C2xD10:3Q8φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10:4(C2xQ8)320,1485
D10:5(C2xQ8) = Q8xD20φ: C2xQ8/Q8C2 ⊆ Out D10160D10:5(C2xQ8)320,1247
D10:6(C2xQ8) = Dic10:21D4φ: C2xQ8/Q8C2 ⊆ Out D10160D10:6(C2xQ8)320,1304
D10:7(C2xQ8) = D20:8Q8φ: C2xQ8/Q8C2 ⊆ Out D10160D10:7(C2xQ8)320,1399
D10:8(C2xQ8) = Q8xC5:D4φ: C2xQ8/Q8C2 ⊆ Out D10160D10:8(C2xQ8)320,1487

Non-split extensions G=N.Q with N=D10 and Q=C2xQ8
extensionφ:Q→Out NdρLabelID
D10.1(C2xQ8) = C42.232D10φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.1(C2xQ8)320,1250
D10.2(C2xQ8) = C10.512+ 1+4φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.2(C2xQ8)320,1306
D10.3(C2xQ8) = C42.236D10φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.3(C2xQ8)320,1360
D10.4(C2xQ8) = C42.148D10φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.4(C2xQ8)320,1361
D10.5(C2xQ8) = C42.241D10φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.5(C2xQ8)320,1400
D10.6(C2xQ8) = C42.174D10φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.6(C2xQ8)320,1401
D10.7(C2xQ8) = C4xC4:F5φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.7(C2xQ8)320,1025
D10.8(C2xQ8) = C42:8F5φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.8(C2xQ8)320,1026
D10.9(C2xQ8) = C42:9F5φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.9(C2xQ8)320,1027
D10.10(C2xQ8) = D10:(C4:C4)φ: C2xQ8/C2xC4C2 ⊆ Out D1040D10.10(C2xQ8)320,1037
D10.11(C2xQ8) = C20:(C4:C4)φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.11(C2xQ8)320,1050
D10.12(C2xQ8) = C2xC40.C4φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.12(C2xQ8)320,1060
D10.13(C2xQ8) = C2xD10.Q8φ: C2xQ8/C2xC4C2 ⊆ Out D10160D10.13(C2xQ8)320,1061
D10.14(C2xQ8) = (C8xD5).C4φ: C2xQ8/C2xC4C2 ⊆ Out D10804D10.14(C2xQ8)320,1062
D10.15(C2xQ8) = M4(2).1F5φ: C2xQ8/C2xC4C2 ⊆ Out D10808D10.15(C2xQ8)320,1067
D10.16(C2xQ8) = C2xD10.3Q8φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.16(C2xQ8)320,1100
D10.17(C2xQ8) = D10:6(C4:C4)φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.17(C2xQ8)320,1103
D10.18(C2xQ8) = C22xC4:F5φ: C2xQ8/C2xC4C2 ⊆ Out D1080D10.18(C2xQ8)320,1591
D10.19(C2xQ8) = C10.102+ 1+4φ: C2xQ8/Q8C2 ⊆ Out D10160D10.19(C2xQ8)320,1183
D10.20(C2xQ8) = D20:10Q8φ: C2xQ8/Q8C2 ⊆ Out D10160D10.20(C2xQ8)320,1251
D10.21(C2xQ8) = C10.1182+ 1+4φ: C2xQ8/Q8C2 ⊆ Out D10160D10.21(C2xQ8)320,1307
D10.22(C2xQ8) = C10.522+ 1+4φ: C2xQ8/Q8C2 ⊆ Out D10160D10.22(C2xQ8)320,1308
D10.23(C2xQ8) = D20:7Q8φ: C2xQ8/Q8C2 ⊆ Out D10160D10.23(C2xQ8)320,1362
D10.24(C2xQ8) = D20:9Q8φ: C2xQ8/Q8C2 ⊆ Out D10160D10.24(C2xQ8)320,1402
D10.25(C2xQ8) = C4:C4xF5φ: C2xQ8/Q8C2 ⊆ Out D1080D10.25(C2xQ8)320,1048
D10.26(C2xQ8) = C4:C4:5F5φ: C2xQ8/Q8C2 ⊆ Out D1080D10.26(C2xQ8)320,1049
D10.27(C2xQ8) = (C2xF5):Q8φ: C2xQ8/Q8C2 ⊆ Out D1080D10.27(C2xQ8)320,1128
D10.28(C2xQ8) = C2xQ8xF5φ: C2xQ8/Q8C2 ⊆ Out D1080D10.28(C2xQ8)320,1599
D10.29(C2xQ8) = C2xD5xC4:C4φ: trivial image160D10.29(C2xQ8)320,1173
D10.30(C2xQ8) = C4xQ8xD5φ: trivial image160D10.30(C2xQ8)320,1243
D10.31(C2xQ8) = D5xC42.C2φ: trivial image160D10.31(C2xQ8)320,1359
D10.32(C2xQ8) = D5xC4:Q8φ: trivial image160D10.32(C2xQ8)320,1395

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