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Extensions 1→N→G→Q→1 with N=D10 and Q=C22×C4

Direct product G=N×Q with N=D10 and Q=C22×C4
dρLabelID
D5×C23×C4160D5xC2^3xC4320,1609

Semidirect products G=N:Q with N=D10 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
D10⋊(C22×C4) = C2×D4×F5φ: C22×C4/C22 → C22 ⊆ Out D1040D10:(C2^2xC4)320,1595
D10⋊2(C22×C4) = C2×C4×D20φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10:2(C2^2xC4)320,1145
D10⋊3(C22×C4) = C2×Dic5⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10:3(C2^2xC4)320,1157
D10⋊4(C22×C4) = C2×D20⋊8C4φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10:4(C2^2xC4)320,1175
D10⋊5(C22×C4) = C4×D4×D5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10:5(C2^2xC4)320,1216
D10⋊6(C22×C4) = C2×C4×C5⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10:6(C2^2xC4)320,1460
D10⋊7(C22×C4) = C2×D5×C22⋊C4φ: C22×C4/C23 → C2 ⊆ Out D1080D10:7(C2^2xC4)320,1156
D10⋊8(C22×C4) = C22×D10⋊C4φ: C22×C4/C23 → C2 ⊆ Out D10160D10:8(C2^2xC4)320,1459
D10⋊9(C22×C4) = C22×C22⋊F5φ: C22×C4/C23 → C2 ⊆ Out D1080D10:9(C2^2xC4)320,1607
D10⋊10(C22×C4) = C24×F5φ: C22×C4/C23 → C2 ⊆ Out D1080D10:10(C2^2xC4)320,1638

Non-split extensions G=N.Q with N=D10 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
D10.1(C22×C4) = C2×D4.F5φ: C22×C4/C22 → C22 ⊆ Out D10160D10.1(C2^2xC4)320,1593
D10.2(C22×C4) = Dic5.C24φ: C22×C4/C22 → C22 ⊆ Out D10808-D10.2(C2^2xC4)320,1594
D10.3(C22×C4) = D10.C24φ: C22×C4/C22 → C22 ⊆ Out D10408+D10.3(C2^2xC4)320,1596
D10.4(C22×C4) = C2×Q8.F5φ: C22×C4/C22 → C22 ⊆ Out D10160D10.4(C2^2xC4)320,1597
D10.5(C22×C4) = Dic5.20C24φ: C22×C4/C22 → C22 ⊆ Out D10808+D10.5(C2^2xC4)320,1598
D10.6(C22×C4) = Dic5.21C24φ: C22×C4/C22 → C22 ⊆ Out D10808D10.6(C2^2xC4)320,1601
D10.7(C22×C4) = Dic5.22C24φ: C22×C4/C22 → C22 ⊆ Out D10808D10.7(C2^2xC4)320,1602
D10.8(C22×C4) = C4○D4×F5φ: C22×C4/C22 → C22 ⊆ Out D10408D10.8(C2^2xC4)320,1603
D10.9(C22×C4) = D5.2+ 1+4φ: C22×C4/C22 → C22 ⊆ Out D10408D10.9(C2^2xC4)320,1604
D10.10(C22×C4) = C4×C4○D20φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.10(C2^2xC4)320,1146
D10.11(C22×C4) = C24.24D10φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.11(C2^2xC4)320,1158
D10.12(C22×C4) = C10.82+ 1+4φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.12(C2^2xC4)320,1176
D10.13(C22×C4) = C42⋊7D10φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.13(C2^2xC4)320,1193
D10.14(C22×C4) = C42.188D10φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.14(C2^2xC4)320,1194
D10.15(C22×C4) = C42.91D10φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.15(C2^2xC4)320,1195
D10.16(C22×C4) = C4×D4⋊2D5φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.16(C2^2xC4)320,1208
D10.17(C22×C4) = C42⋊11D10φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.17(C2^2xC4)320,1217
D10.18(C22×C4) = C42.108D10φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.18(C2^2xC4)320,1218
D10.19(C22×C4) = C4×Q8⋊2D5φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.19(C2^2xC4)320,1245
D10.20(C22×C4) = C42.126D10φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.20(C2^2xC4)320,1246
D10.21(C22×C4) = C2×D20.3C4φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.21(C2^2xC4)320,1410
D10.22(C22×C4) = C2×D20.2C4φ: C22×C4/C2×C4 → C2 ⊆ Out D10160D10.22(C2^2xC4)320,1416
D10.23(C22×C4) = C40.47C23φ: C22×C4/C2×C4 → C2 ⊆ Out D10804D10.23(C2^2xC4)320,1417
D10.24(C22×C4) = D5×C8○D4φ: C22×C4/C2×C4 → C2 ⊆ Out D10804D10.24(C2^2xC4)320,1421
D10.25(C22×C4) = C20.72C24φ: C22×C4/C2×C4 → C2 ⊆ Out D10804D10.25(C2^2xC4)320,1422
D10.26(C22×C4) = C42×F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.26(C2^2xC4)320,1023
D10.27(C22×C4) = C42⋊4F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.27(C2^2xC4)320,1024
D10.28(C22×C4) = C4×C4⋊F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.28(C2^2xC4)320,1025
D10.29(C22×C4) = C22⋊C4×F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1040D10.29(C2^2xC4)320,1036
D10.30(C22×C4) = C4⋊C4×F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.30(C2^2xC4)320,1048
D10.31(C22×C4) = C2×C8×F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.31(C2^2xC4)320,1054
D10.32(C22×C4) = C2×C8⋊F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.32(C2^2xC4)320,1055
D10.33(C22×C4) = C20.12C42φ: C22×C4/C2×C4 → C2 ⊆ Out D10804D10.33(C2^2xC4)320,1056
D10.34(C22×C4) = M4(2)×F5φ: C22×C4/C2×C4 → C2 ⊆ Out D10408D10.34(C2^2xC4)320,1064
D10.35(C22×C4) = M4(2)⋊5F5φ: C22×C4/C2×C4 → C2 ⊆ Out D10808D10.35(C2^2xC4)320,1066
D10.36(C22×C4) = C2×D10.3Q8φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.36(C2^2xC4)320,1100
D10.37(C22×C4) = C4×C22⋊F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.37(C2^2xC4)320,1101
D10.38(C22×C4) = C22×C4×F5φ: C22×C4/C2×C4 → C2 ⊆ Out D1080D10.38(C2^2xC4)320,1590
D10.39(C22×C4) = C2×C42⋊D5φ: C22×C4/C23 → C2 ⊆ Out D10160D10.39(C2^2xC4)320,1144
D10.40(C22×C4) = C2×C4⋊C4⋊7D5φ: C22×C4/C23 → C2 ⊆ Out D10160D10.40(C2^2xC4)320,1174
D10.41(C22×C4) = C42.125D10φ: C22×C4/C23 → C2 ⊆ Out D10160D10.41(C2^2xC4)320,1244
D10.42(C22×C4) = C22×C8⋊D5φ: C22×C4/C23 → C2 ⊆ Out D10160D10.42(C2^2xC4)320,1409
D10.43(C22×C4) = C22×D5⋊C8φ: C22×C4/C23 → C2 ⊆ Out D10160D10.43(C2^2xC4)320,1587
D10.44(C22×C4) = C22×C4.F5φ: C22×C4/C23 → C2 ⊆ Out D10160D10.44(C2^2xC4)320,1588
D10.45(C22×C4) = C2×D5⋊M4(2)φ: C22×C4/C23 → C2 ⊆ Out D1080D10.45(C2^2xC4)320,1589
D10.46(C22×C4) = C22×C4⋊F5φ: C22×C4/C23 → C2 ⊆ Out D1080D10.46(C2^2xC4)320,1591
D10.47(C22×C4) = C2×D10.C23φ: C22×C4/C23 → C2 ⊆ Out D1080D10.47(C2^2xC4)320,1592
D10.48(C22×C4) = C2×Q8×F5φ: C22×C4/C23 → C2 ⊆ Out D1080D10.48(C2^2xC4)320,1599
D10.49(C22×C4) = D5.2- 1+4φ: C22×C4/C23 → C2 ⊆ Out D10808-D10.49(C2^2xC4)320,1600
D10.50(C22×C4) = D5×C2×C42φ: trivial image160D10.50(C2^2xC4)320,1143
D10.51(C22×C4) = C2×D5×C4⋊C4φ: trivial image160D10.51(C2^2xC4)320,1173
D10.52(C22×C4) = D5×C42⋊C2φ: trivial image80D10.52(C2^2xC4)320,1192
D10.53(C22×C4) = C4×Q8×D5φ: trivial image160D10.53(C2^2xC4)320,1243
D10.54(C22×C4) = D5×C22×C8φ: trivial image160D10.54(C2^2xC4)320,1408
D10.55(C22×C4) = C2×D5×M4(2)φ: trivial image80D10.55(C2^2xC4)320,1415

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