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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C22×C4

Direct product G=N×Q with N=Dic5 and Q=C22×C4
dρLabelID
C22×C4×Dic5320C2^2xC4xDic5320,1454

Semidirect products G=N:Q with N=Dic5 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
Dic5⋊(C22×C4) = C2×D4×F5φ: C22×C4/C22 → C22 ⊆ Out Dic540Dic5:(C2^2xC4)320,1595
Dic5⋊2(C22×C4) = C2×Dic5⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5:2(C2^2xC4)320,1157
Dic5⋊3(C22×C4) = C4×D4×D5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic580Dic5:3(C2^2xC4)320,1216
Dic5⋊4(C22×C4) = C2×C4×C5⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5:4(C2^2xC4)320,1460
Dic5⋊5(C22×C4) = C2×D5×C4⋊C4φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5:5(C2^2xC4)320,1173
Dic5⋊6(C22×C4) = C22×C10.D4φ: C22×C4/C23 → C2 ⊆ Out Dic5320Dic5:6(C2^2xC4)320,1455
Dic5⋊7(C22×C4) = C22×C4×F5φ: C22×C4/C23 → C2 ⊆ Out Dic580Dic5:7(C2^2xC4)320,1590
Dic5⋊8(C22×C4) = C22×C4⋊F5φ: C22×C4/C23 → C2 ⊆ Out Dic580Dic5:8(C2^2xC4)320,1591
Dic5⋊9(C22×C4) = D5×C2×C42φ: trivial image160Dic5:9(C2^2xC4)320,1143

Non-split extensions G=N.Q with N=Dic5 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
Dic5.1(C22×C4) = C2×D4.F5φ: C22×C4/C22 → C22 ⊆ Out Dic5160Dic5.1(C2^2xC4)320,1593
Dic5.2(C22×C4) = Dic5.C24φ: C22×C4/C22 → C22 ⊆ Out Dic5808-Dic5.2(C2^2xC4)320,1594
Dic5.3(C22×C4) = D10.C24φ: C22×C4/C22 → C22 ⊆ Out Dic5408+Dic5.3(C2^2xC4)320,1596
Dic5.4(C22×C4) = C2×Q8×F5φ: C22×C4/C22 → C22 ⊆ Out Dic580Dic5.4(C2^2xC4)320,1599
Dic5.5(C22×C4) = D5.2- 1+4φ: C22×C4/C22 → C22 ⊆ Out Dic5808-Dic5.5(C2^2xC4)320,1600
Dic5.6(C22×C4) = Dic5.21C24φ: C22×C4/C22 → C22 ⊆ Out Dic5808Dic5.6(C2^2xC4)320,1601
Dic5.7(C22×C4) = Dic5.22C24φ: C22×C4/C22 → C22 ⊆ Out Dic5808Dic5.7(C2^2xC4)320,1602
Dic5.8(C22×C4) = D5.2+ 1+4φ: C22×C4/C22 → C22 ⊆ Out Dic5408Dic5.8(C2^2xC4)320,1604
Dic5.9(C22×C4) = C2×C4×Dic10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.9(C2^2xC4)320,1139
Dic5.10(C22×C4) = C4×C4○D20φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.10(C2^2xC4)320,1146
Dic5.11(C22×C4) = C24.24D10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic580Dic5.11(C2^2xC4)320,1158
Dic5.12(C22×C4) = C2×Dic5⋊3Q8φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.12(C2^2xC4)320,1168
Dic5.13(C22×C4) = C10.82+ 1+4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.13(C2^2xC4)320,1176
Dic5.14(C22×C4) = C42.87D10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.14(C2^2xC4)320,1188
Dic5.15(C22×C4) = C42.188D10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.15(C2^2xC4)320,1194
Dic5.16(C22×C4) = C42.91D10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.16(C2^2xC4)320,1195
Dic5.17(C22×C4) = C42⋊11D10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic580Dic5.17(C2^2xC4)320,1217
Dic5.18(C22×C4) = C4×Q8×D5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.18(C2^2xC4)320,1243
Dic5.19(C22×C4) = C42.125D10φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.19(C2^2xC4)320,1244
Dic5.20(C22×C4) = C2×D20.3C4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.20(C2^2xC4)320,1410
Dic5.21(C22×C4) = C2×D20.2C4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.21(C2^2xC4)320,1416
Dic5.22(C22×C4) = C40.47C23φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.22(C2^2xC4)320,1417
Dic5.23(C22×C4) = D5×C8○D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.23(C2^2xC4)320,1421
Dic5.24(C22×C4) = C20.72C24φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.24(C2^2xC4)320,1422
Dic5.25(C22×C4) = C4×D5⋊C8φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.25(C2^2xC4)320,1013
Dic5.26(C22×C4) = C42.5F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.26(C2^2xC4)320,1014
Dic5.27(C22×C4) = C4×C4.F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.27(C2^2xC4)320,1015
Dic5.28(C22×C4) = Dic5.C42φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.28(C2^2xC4)320,1029
Dic5.29(C22×C4) = D10.C42φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.29(C2^2xC4)320,1039
Dic5.30(C22×C4) = C2×C8×F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic580Dic5.30(C2^2xC4)320,1054
Dic5.31(C22×C4) = C2×C8⋊F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic580Dic5.31(C2^2xC4)320,1055
Dic5.32(C22×C4) = C20.12C42φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.32(C2^2xC4)320,1056
Dic5.33(C22×C4) = M4(2)×F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5408Dic5.33(C2^2xC4)320,1064
Dic5.34(C22×C4) = M4(2)⋊5F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5808Dic5.34(C2^2xC4)320,1066
Dic5.35(C22×C4) = C2×C4×C5⋊C8φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.35(C2^2xC4)320,1084
Dic5.36(C22×C4) = C2×C10.C42φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.36(C2^2xC4)320,1087
Dic5.37(C22×C4) = C4×C22.F5φ: C22×C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.37(C2^2xC4)320,1088
Dic5.38(C22×C4) = C2×C42⋊D5φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.38(C2^2xC4)320,1144
Dic5.39(C22×C4) = D5×C42⋊C2φ: C22×C4/C23 → C2 ⊆ Out Dic580Dic5.39(C2^2xC4)320,1192
Dic5.40(C22×C4) = C42.108D10φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.40(C2^2xC4)320,1218
Dic5.41(C22×C4) = C42.126D10φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.41(C2^2xC4)320,1246
Dic5.42(C22×C4) = C22×C8⋊D5φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.42(C2^2xC4)320,1409
Dic5.43(C22×C4) = C22×D5⋊C8φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.43(C2^2xC4)320,1587
Dic5.44(C22×C4) = C22×C4.F5φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.44(C2^2xC4)320,1588
Dic5.45(C22×C4) = C2×D5⋊M4(2)φ: C22×C4/C23 → C2 ⊆ Out Dic580Dic5.45(C2^2xC4)320,1589
Dic5.46(C22×C4) = C2×D10.C23φ: C22×C4/C23 → C2 ⊆ Out Dic580Dic5.46(C2^2xC4)320,1592
Dic5.47(C22×C4) = C2×Q8.F5φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.47(C2^2xC4)320,1597
Dic5.48(C22×C4) = Dic5.20C24φ: C22×C4/C23 → C2 ⊆ Out Dic5808+Dic5.48(C2^2xC4)320,1598
Dic5.49(C22×C4) = C4○D4×F5φ: C22×C4/C23 → C2 ⊆ Out Dic5408Dic5.49(C2^2xC4)320,1603
Dic5.50(C22×C4) = C23×C5⋊C8φ: C22×C4/C23 → C2 ⊆ Out Dic5320Dic5.50(C2^2xC4)320,1605
Dic5.51(C22×C4) = C22×C22.F5φ: C22×C4/C23 → C2 ⊆ Out Dic5160Dic5.51(C2^2xC4)320,1606
Dic5.52(C22×C4) = C2×C23.11D10φ: trivial image160Dic5.52(C2^2xC4)320,1152
Dic5.53(C22×C4) = C2×C4⋊C4⋊7D5φ: trivial image160Dic5.53(C2^2xC4)320,1174
Dic5.54(C22×C4) = C4×D4⋊2D5φ: trivial image160Dic5.54(C2^2xC4)320,1208
Dic5.55(C22×C4) = C4×Q8⋊2D5φ: trivial image160Dic5.55(C2^2xC4)320,1245
Dic5.56(C22×C4) = D5×C22×C8φ: trivial image160Dic5.56(C2^2xC4)320,1408
Dic5.57(C22×C4) = C2×D5×M4(2)φ: trivial image80Dic5.57(C2^2xC4)320,1415

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