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Extensions 1→N→G→Q→1 with N=C5:2C8 and Q=C2xC4

Direct product G=NxQ with N=C5:2C8 and Q=C2xC4
dρLabelID
C2xC4xC5:2C8320C2xC4xC5:2C8320,547

Semidirect products G=N:Q with N=C5:2C8 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
C5:2C8:1(C2xC4) = D4.D5:5C4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:1(C2xC4)320,384
C5:2C8:2(C2xC4) = D4:D5:6C4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:2(C2xC4)320,412
C5:2C8:3(C2xC4) = Q8:D5:6C4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:3(C2xC4)320,444
C5:2C8:4(C2xC4) = C8:(C4xD5)φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:4(C2xC4)320,488
C5:2C8:5(C2xC4) = C40:20(C2xC4)φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:5(C2xC4)320,508
C5:2C8:6(C2xC4) = C20.47(C4:C4)φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:6(C2xC4)320,591
C5:2C8:7(C2xC4) = C20.64(C4:C4)φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:7(C2xC4)320,622
C5:2C8:8(C2xC4) = C42.48D10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:8(C2xC4)320,641
C5:2C8:9(C2xC4) = C42.51D10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:9(C2xC4)320,645
C5:2C8:10(C2xC4) = C42.56D10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8160C5:2C8:10(C2xC4)320,653
C5:2C8:11(C2xC4) = D8xF5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8408+C5:2C8:11(C2xC4)320,1068
C5:2C8:12(C2xC4) = D40:C4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8408+C5:2C8:12(C2xC4)320,1069
C5:2C8:13(C2xC4) = SD16xF5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8408C5:2C8:13(C2xC4)320,1072
C5:2C8:14(C2xC4) = SD16:F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8408C5:2C8:14(C2xC4)320,1073
C5:2C8:15(C2xC4) = M4(2):1F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8408C5:2C8:15(C2xC4)320,1065
C5:2C8:16(C2xC4) = M4(2)xF5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8408C5:2C8:16(C2xC4)320,1064
C5:2C8:17(C2xC4) = Dic5:4D8φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:17(C2xC4)320,383
C5:2C8:18(C2xC4) = Dic5:6SD16φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:18(C2xC4)320,385
C5:2C8:19(C2xC4) = Dic5:7SD16φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:19(C2xC4)320,415
C5:2C8:20(C2xC4) = C4xD4:D5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:20(C2xC4)320,640
C5:2C8:21(C2xC4) = C4xD4.D5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:21(C2xC4)320,644
C5:2C8:22(C2xC4) = C4xQ8:D5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:22(C2xC4)320,652
C5:2C8:23(C2xC4) = C4xC8:D5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:23(C2xC4)320,314
C5:2C8:24(C2xC4) = D10.6C42φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:24(C2xC4)320,334
C5:2C8:25(C2xC4) = C4xC4.Dic5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:25(C2xC4)320,549
C5:2C8:26(C2xC4) = M4(2)xDic5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8:26(C2xC4)320,744
C5:2C8:27(C2xC4) = D5xC4.Q8φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8:27(C2xC4)320,486
C5:2C8:28(C2xC4) = D5xC2.D8φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8:28(C2xC4)320,506
C5:2C8:29(C2xC4) = C2xC10.D8φ: C2xC4/C22 → C2 ⊆ Out C5:2C8320C5:2C8:29(C2xC4)320,589
C5:2C8:30(C2xC4) = C2xC20.Q8φ: C2xC4/C22 → C2 ⊆ Out C5:2C8320C5:2C8:30(C2xC4)320,590
C5:2C8:31(C2xC4) = D5xC8:C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8:31(C2xC4)320,331
C5:2C8:32(C2xC4) = C2xC42.D5φ: C2xC4/C22 → C2 ⊆ Out C5:2C8320C5:2C8:32(C2xC4)320,548
C5:2C8:33(C2xC4) = C2xC40:8C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8320C5:2C8:33(C2xC4)320,727
C5:2C8:34(C2xC4) = C2xC40:C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C880C5:2C8:34(C2xC4)320,1057
C5:2C8:35(C2xC4) = C2xD5.D8φ: C2xC4/C22 → C2 ⊆ Out C5:2C880C5:2C8:35(C2xC4)320,1058
C5:2C8:36(C2xC4) = C2xC8xF5φ: C2xC4/C22 → C2 ⊆ Out C5:2C880C5:2C8:36(C2xC4)320,1054
C5:2C8:37(C2xC4) = C2xC8:F5φ: C2xC4/C22 → C2 ⊆ Out C5:2C880C5:2C8:37(C2xC4)320,1055
C5:2C8:38(C2xC4) = D5xC4xC8φ: trivial image160C5:2C8:38(C2xC4)320,311
C5:2C8:39(C2xC4) = C2xC8xDic5φ: trivial image320C5:2C8:39(C2xC4)320,725

Non-split extensions G=N.Q with N=C5:2C8 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
C5:2C8.1(C2xC4) = C5:Q16:5C4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8320C5:2C8.1(C2xC4)320,416
C5:2C8.2(C2xC4) = M4(2).22D10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.2(C2xC4)320,450
C5:2C8.3(C2xC4) = M4(2).25D10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.3(C2xC4)320,520
C5:2C8.4(C2xC4) = C42.59D10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8320C5:2C8.4(C2xC4)320,657
C5:2C8.5(C2xC4) = C23.Dic10φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.5(C2xC4)320,751
C5:2C8.6(C2xC4) = C40.50D4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.6(C2xC4)320,772
C5:2C8.7(C2xC4) = D8:5F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808-C5:2C8.7(C2xC4)320,1070
C5:2C8.8(C2xC4) = D8:F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808-C5:2C8.8(C2xC4)320,1071
C5:2C8.9(C2xC4) = SD16:3F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808C5:2C8.9(C2xC4)320,1074
C5:2C8.10(C2xC4) = SD16:2F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808C5:2C8.10(C2xC4)320,1075
C5:2C8.11(C2xC4) = Q16xF5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808-C5:2C8.11(C2xC4)320,1076
C5:2C8.12(C2xC4) = Dic20:C4φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808-C5:2C8.12(C2xC4)320,1077
C5:2C8.13(C2xC4) = Q16:5F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808+C5:2C8.13(C2xC4)320,1078
C5:2C8.14(C2xC4) = Q16:F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808+C5:2C8.14(C2xC4)320,1079
C5:2C8.15(C2xC4) = M4(2).1F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808C5:2C8.15(C2xC4)320,1067
C5:2C8.16(C2xC4) = C16:F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.16(C2xC4)320,183
C5:2C8.17(C2xC4) = C16:4F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.17(C2xC4)320,184
C5:2C8.18(C2xC4) = C42.3F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.18(C2xC4)320,198
C5:2C8.19(C2xC4) = C20.23C42φ: C2xC4/C2 → C22 ⊆ Out C5:2C8804C5:2C8.19(C2xC4)320,228
C5:2C8.20(C2xC4) = Dic10.C8φ: C2xC4/C2 → C22 ⊆ Out C5:2C81608C5:2C8.20(C2xC4)320,1063
C5:2C8.21(C2xC4) = M4(2):5F5φ: C2xC4/C2 → C22 ⊆ Out C5:2C8808C5:2C8.21(C2xC4)320,1066
C5:2C8.22(C2xC4) = C5:C16.C22φ: C2xC4/C2 → C22 ⊆ Out C5:2C81608C5:2C8.22(C2xC4)320,1129
C5:2C8.23(C2xC4) = Dic5:4Q16φ: C2xC4/C4 → C2 ⊆ Out C5:2C8320C5:2C8.23(C2xC4)320,417
C5:2C8.24(C2xC4) = C42.196D10φ: C2xC4/C4 → C2 ⊆ Out C5:2C8804C5:2C8.24(C2xC4)320,451
C5:2C8.25(C2xC4) = C4xC5:Q16φ: C2xC4/C4 → C2 ⊆ Out C5:2C8320C5:2C8.25(C2xC4)320,656
C5:2C8.26(C2xC4) = C40.93D4φ: C2xC4/C4 → C2 ⊆ Out C5:2C8804C5:2C8.26(C2xC4)320,771
C5:2C8.27(C2xC4) = D10.5C42φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8.27(C2xC4)320,316
C5:2C8.28(C2xC4) = D10.7C42φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8.28(C2xC4)320,335
C5:2C8.29(C2xC4) = D20.6C8φ: C2xC4/C4 → C2 ⊆ Out C5:2C81602C5:2C8.29(C2xC4)320,528
C5:2C8.30(C2xC4) = D20.5C8φ: C2xC4/C4 → C2 ⊆ Out C5:2C81604C5:2C8.30(C2xC4)320,534
C5:2C8.31(C2xC4) = C20.42C42φ: C2xC4/C4 → C2 ⊆ Out C5:2C8160C5:2C8.31(C2xC4)320,728
C5:2C8.32(C2xC4) = C16xF5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8804C5:2C8.32(C2xC4)320,181
C5:2C8.33(C2xC4) = C16:7F5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8804C5:2C8.33(C2xC4)320,182
C5:2C8.34(C2xC4) = C4xC5:C16φ: C2xC4/C4 → C2 ⊆ Out C5:2C8320C5:2C8.34(C2xC4)320,195
C5:2C8.35(C2xC4) = C42.4F5φ: C2xC4/C4 → C2 ⊆ Out C5:2C8320C5:2C8.35(C2xC4)320,197
C5:2C8.36(C2xC4) = Dic5:C16φ: C2xC4/C4 → C2 ⊆ Out C5:2C8320C5:2C8.36(C2xC4)320,223
C5:2C8.37(C2xC4) = C40.C8φ: C2xC4/C4 → C2 ⊆ Out C5:2C8320C5:2C8.37(C2xC4)320,224
C5:2C8.38(C2xC4) = (C8xD5):C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.38(C2xC4)320,487
C5:2C8.39(C2xC4) = C8.27(C4xD5)φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.39(C2xC4)320,507
C5:2C8.40(C2xC4) = D5xC8.C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8804C5:2C8.40(C2xC4)320,519
C5:2C8.41(C2xC4) = C20.76(C4:C4)φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.41(C2xC4)320,625
C5:2C8.42(C2xC4) = C2xC20.53D4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.42(C2xC4)320,750
C5:2C8.43(C2xC4) = C2xC80:C2φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.43(C2xC4)320,527
C5:2C8.44(C2xC4) = D5xM5(2)φ: C2xC4/C22 → C2 ⊆ Out C5:2C8804C5:2C8.44(C2xC4)320,533
C5:2C8.45(C2xC4) = C20.35C42φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.45(C2xC4)320,624
C5:2C8.46(C2xC4) = C20.37C42φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.46(C2xC4)320,749
C5:2C8.47(C2xC4) = (C2xC8):6F5φ: C2xC4/C22 → C2 ⊆ Out C5:2C8804C5:2C8.47(C2xC4)320,1059
C5:2C8.48(C2xC4) = C2xC40.C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.48(C2xC4)320,1060
C5:2C8.49(C2xC4) = C2xD10.Q8φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.49(C2xC4)320,1061
C5:2C8.50(C2xC4) = (C8xD5).C4φ: C2xC4/C22 → C2 ⊆ Out C5:2C8804C5:2C8.50(C2xC4)320,1062
C5:2C8.51(C2xC4) = C2xD5:C16φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.51(C2xC4)320,1051
C5:2C8.52(C2xC4) = C2xC8.F5φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.52(C2xC4)320,1052
C5:2C8.53(C2xC4) = D5:M5(2)φ: C2xC4/C22 → C2 ⊆ Out C5:2C8804C5:2C8.53(C2xC4)320,1053
C5:2C8.54(C2xC4) = C20.12C42φ: C2xC4/C22 → C2 ⊆ Out C5:2C8804C5:2C8.54(C2xC4)320,1056
C5:2C8.55(C2xC4) = C22xC5:C16φ: C2xC4/C22 → C2 ⊆ Out C5:2C8320C5:2C8.55(C2xC4)320,1080
C5:2C8.56(C2xC4) = C2xC20.C8φ: C2xC4/C22 → C2 ⊆ Out C5:2C8160C5:2C8.56(C2xC4)320,1081
C5:2C8.57(C2xC4) = D5xC2xC16φ: trivial image160C5:2C8.57(C2xC4)320,526

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