Extensions 1→N→G→Q→1 with N=Dic10 and Q=C2×C4

Direct product G=N×Q with N=Dic10 and Q=C2×C4
dρLabelID
C2×C4×Dic10320C2xC4xDic10320,1139

Semidirect products G=N:Q with N=Dic10 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic10⋊1(C2×C4) = SD16×F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10408Dic10:1(C2xC4)320,1072
Dic10⋊2(C2×C4) = SD16⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10408Dic10:2(C2xC4)320,1073
Dic10⋊3(C2×C4) = C2×D4⋊F5φ: C2×C4/C2 → C4 ⊆ Out Dic1080Dic10:3(C2xC4)320,1106
Dic10⋊4(C2×C4) = C2×Q8⋊F5φ: C2×C4/C2 → C4 ⊆ Out Dic1080Dic10:4(C2xC4)320,1119
Dic10⋊5(C2×C4) = D5⋊C4≀C2φ: C2×C4/C2 → C4 ⊆ Out Dic10408Dic10:5(C2xC4)320,1130
Dic10⋊6(C2×C4) = C4○D4⋊F5φ: C2×C4/C2 → C4 ⊆ Out Dic10408Dic10:6(C2xC4)320,1131
Dic10⋊7(C2×C4) = C2×Q8×F5φ: C2×C4/C2 → C4 ⊆ Out Dic1080Dic10:7(C2xC4)320,1599
Dic10⋊8(C2×C4) = C4○D4×F5φ: C2×C4/C2 → C4 ⊆ Out Dic10408Dic10:8(C2xC4)320,1603
Dic10⋊9(C2×C4) = D5.2+ 1+4φ: C2×C4/C2 → C4 ⊆ Out Dic10408Dic10:9(C2xC4)320,1604
Dic10⋊10(C2×C4) = D4.D5⋊5C4φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10:10(C2xC4)320,384
Dic10⋊11(C2×C4) = Dic5⋊6SD16φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10:11(C2xC4)320,385
Dic10⋊12(C2×C4) = D4⋊(C4×D5)φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10:12(C2xC4)320,398
Dic10⋊13(C2×C4) = D5×Q8⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10:13(C2xC4)320,428
Dic10⋊14(C2×C4) = D5×C4≀C2φ: C2×C4/C2 → C22 ⊆ Out Dic10404Dic10:14(C2xC4)320,447
Dic10⋊15(C2×C4) = Dic5⋊8SD16φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10:15(C2xC4)320,479
Dic10⋊16(C2×C4) = C40⋊21(C2×C4)φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10:16(C2xC4)320,516
Dic10⋊17(C2×C4) = C4×C40⋊C2φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:17(C2xC4)320,318
Dic10⋊18(C2×C4) = C42.16D10φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:18(C2xC4)320,337
Dic10⋊19(C2×C4) = C4×D4.D5φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:19(C2xC4)320,644
Dic10⋊20(C2×C4) = C42.51D10φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:20(C2xC4)320,645
Dic10⋊21(C2×C4) = C4×D4⋊2D5φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:21(C2xC4)320,1208
Dic10⋊22(C2×C4) = C42.108D10φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:22(C2xC4)320,1218
Dic10⋊23(C2×C4) = C4×Q8×D5φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10:23(C2xC4)320,1243
Dic10⋊24(C2×C4) = C2×D20⋊4C4φ: C2×C4/C22 → C2 ⊆ Out Dic1080Dic10:24(C2xC4)320,554
Dic10⋊25(C2×C4) = C2×C20.44D4φ: C2×C4/C22 → C2 ⊆ Out Dic10320Dic10:25(C2xC4)320,730
Dic10⋊26(C2×C4) = C23.49D20φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10:26(C2xC4)320,760
Dic10⋊27(C2×C4) = C4○D20⋊9C4φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10:27(C2xC4)320,593
Dic10⋊28(C2×C4) = C2×C10.Q16φ: C2×C4/C22 → C2 ⊆ Out Dic10320Dic10:28(C2xC4)320,596
Dic10⋊29(C2×C4) = C2×D20⋊7C4φ: C2×C4/C22 → C2 ⊆ Out Dic1080Dic10:29(C2xC4)320,765
Dic10⋊30(C2×C4) = C2×Dic5⋊3Q8φ: C2×C4/C22 → C2 ⊆ Out Dic10320Dic10:30(C2xC4)320,1168
Dic10⋊31(C2×C4) = C10.82+ 1+4φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10:31(C2xC4)320,1176
Dic10⋊32(C2×C4) = C42.188D10φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10:32(C2xC4)320,1194
Dic10⋊33(C2×C4) = C4×C4○D20φ: trivial image160Dic10:33(C2xC4)320,1146
Dic10⋊34(C2×C4) = C42.91D10φ: trivial image160Dic10:34(C2xC4)320,1195

Non-split extensions G=N.Q with N=Dic10 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic10.1(C2×C4) = D8⋊5F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10808-Dic10.1(C2xC4)320,1070
Dic10.2(C2×C4) = D8⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10808-Dic10.2(C2xC4)320,1071
Dic10.3(C2×C4) = SD16⋊3F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10808Dic10.3(C2xC4)320,1074
Dic10.4(C2×C4) = SD16⋊2F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10808Dic10.4(C2xC4)320,1075
Dic10.5(C2×C4) = Q16×F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10808-Dic10.5(C2xC4)320,1076
Dic10.6(C2×C4) = Dic20⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Out Dic10808-Dic10.6(C2xC4)320,1077
Dic10.7(C2×C4) = (C2×D4)⋊6F5φ: C2×C4/C2 → C4 ⊆ Out Dic10808-Dic10.7(C2xC4)320,1107
Dic10.8(C2×C4) = (C2×Q8)⋊4F5φ: C2×C4/C2 → C4 ⊆ Out Dic10808-Dic10.8(C2xC4)320,1120
Dic10.9(C2×C4) = C4○D20⋊C4φ: C2×C4/C2 → C4 ⊆ Out Dic10808Dic10.9(C2xC4)320,1132
Dic10.10(C2×C4) = D4⋊F5⋊C2φ: C2×C4/C2 → C4 ⊆ Out Dic10808Dic10.10(C2xC4)320,1133
Dic10.11(C2×C4) = C2×D4.F5φ: C2×C4/C2 → C4 ⊆ Out Dic10160Dic10.11(C2xC4)320,1593
Dic10.12(C2×C4) = Dic5.C24φ: C2×C4/C2 → C4 ⊆ Out Dic10808-Dic10.12(C2xC4)320,1594
Dic10.13(C2×C4) = D5.2- 1+4φ: C2×C4/C2 → C4 ⊆ Out Dic10808-Dic10.13(C2xC4)320,1600
Dic10.14(C2×C4) = Dic5.21C24φ: C2×C4/C2 → C4 ⊆ Out Dic10808Dic10.14(C2xC4)320,1601
Dic10.15(C2×C4) = Dic5.22C24φ: C2×C4/C2 → C4 ⊆ Out Dic10808Dic10.15(C2xC4)320,1602
Dic10.16(C2×C4) = D4⋊2D5⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10.16(C2xC4)320,399
Dic10.17(C2×C4) = C5⋊Q16⋊5C4φ: C2×C4/C2 → C22 ⊆ Out Dic10320Dic10.17(C2xC4)320,416
Dic10.18(C2×C4) = Dic5⋊4Q16φ: C2×C4/C2 → C22 ⊆ Out Dic10320Dic10.18(C2xC4)320,417
Dic10.19(C2×C4) = (Q8×D5)⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic10160Dic10.19(C2xC4)320,429
Dic10.20(C2×C4) = C42⋊D10φ: C2×C4/C2 → C22 ⊆ Out Dic10804Dic10.20(C2xC4)320,448
Dic10.21(C2×C4) = M4(2).22D10φ: C2×C4/C2 → C22 ⊆ Out Dic10804Dic10.21(C2xC4)320,450
Dic10.22(C2×C4) = C42.196D10φ: C2×C4/C2 → C22 ⊆ Out Dic10804Dic10.22(C2xC4)320,451
Dic10.23(C2×C4) = Dic20⋊15C4φ: C2×C4/C2 → C22 ⊆ Out Dic10320Dic10.23(C2xC4)320,480
Dic10.24(C2×C4) = Dic5⋊5Q16φ: C2×C4/C2 → C22 ⊆ Out Dic10320Dic10.24(C2xC4)320,500
Dic10.25(C2×C4) = D40⋊16C4φ: C2×C4/C2 → C22 ⊆ Out Dic10804Dic10.25(C2xC4)320,521
Dic10.26(C2×C4) = D40⋊13C4φ: C2×C4/C2 → C22 ⊆ Out Dic10804Dic10.26(C2xC4)320,522
Dic10.27(C2×C4) = C4×Dic20φ: C2×C4/C4 → C2 ⊆ Out Dic10320Dic10.27(C2xC4)320,325
Dic10.28(C2×C4) = D40⋊17C4φ: C2×C4/C4 → C2 ⊆ Out Dic10802Dic10.28(C2xC4)320,327
Dic10.29(C2×C4) = Dic20⋊9C4φ: C2×C4/C4 → C2 ⊆ Out Dic10320Dic10.29(C2xC4)320,343
Dic10.30(C2×C4) = D40⋊10C4φ: C2×C4/C4 → C2 ⊆ Out Dic10804Dic10.30(C2xC4)320,344
Dic10.31(C2×C4) = C4×C5⋊Q16φ: C2×C4/C4 → C2 ⊆ Out Dic10320Dic10.31(C2xC4)320,656
Dic10.32(C2×C4) = C42.59D10φ: C2×C4/C4 → C2 ⊆ Out Dic10320Dic10.32(C2xC4)320,657
Dic10.33(C2×C4) = C40.93D4φ: C2×C4/C4 → C2 ⊆ Out Dic10804Dic10.33(C2xC4)320,771
Dic10.34(C2×C4) = C40.50D4φ: C2×C4/C4 → C2 ⊆ Out Dic10804Dic10.34(C2xC4)320,772
Dic10.35(C2×C4) = C42.125D10φ: C2×C4/C4 → C2 ⊆ Out Dic10160Dic10.35(C2xC4)320,1244
Dic10.36(C2×C4) = D5×C8○D4φ: C2×C4/C4 → C2 ⊆ Out Dic10804Dic10.36(C2xC4)320,1421
Dic10.37(C2×C4) = C20.72C24φ: C2×C4/C4 → C2 ⊆ Out Dic10804Dic10.37(C2xC4)320,1422
Dic10.38(C2×C4) = C42⋊4D10φ: C2×C4/C22 → C2 ⊆ Out Dic10804Dic10.38(C2xC4)320,632
Dic10.39(C2×C4) = C23.23D20φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10.39(C2xC4)320,740
Dic10.40(C2×C4) = C23.46D20φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10.40(C2xC4)320,747
Dic10.41(C2×C4) = C4○D20⋊10C4φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10.41(C2xC4)320,629
Dic10.42(C2×C4) = C4.(C2×D20)φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10.42(C2xC4)320,631
Dic10.43(C2×C4) = C23.20D20φ: C2×C4/C22 → C2 ⊆ Out Dic10804Dic10.43(C2xC4)320,766
Dic10.44(C2×C4) = C2×D20.2C4φ: C2×C4/C22 → C2 ⊆ Out Dic10160Dic10.44(C2xC4)320,1416
Dic10.45(C2×C4) = C40.47C23φ: C2×C4/C22 → C2 ⊆ Out Dic10804Dic10.45(C2xC4)320,1417
Dic10.46(C2×C4) = C42.87D10φ: trivial image160Dic10.46(C2xC4)320,1188
Dic10.47(C2×C4) = C2×D20.3C4φ: trivial image160Dic10.47(C2xC4)320,1410

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁