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

Direct product G=NxQ with N=Dic5 and Q=C22:C4
dρLabelID
C22:C4xDic5160C2^2:C4xDic5320,568

Semidirect products G=N:Q with N=Dic5 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
Dic5:(C22:C4) = C2.(D4xF5)φ: C22:C4/C22 → C22 ⊆ Out Dic580Dic5:(C2^2:C4)320,1118
Dic5:2(C22:C4) = C24.13D10φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5160Dic5:2(C2^2:C4)320,584
Dic5:3(C22:C4) = D10:2(C4:C4)φ: C22:C4/C23 → C2 ⊆ Out Dic5160Dic5:3(C2^2:C4)320,294
Dic5:4(C22:C4) = C24.44D10φ: C22:C4/C23 → C2 ⊆ Out Dic5160Dic5:4(C2^2:C4)320,569
Dic5:5(C22:C4) = C4xC22:F5φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5:5(C2^2:C4)320,1101
Dic5:6(C22:C4) = D10:6(C4:C4)φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5:6(C2^2:C4)320,1103
Dic5:7(C22:C4) = D10:2C42φ: trivial image160Dic5:7(C2^2:C4)320,293

Non-split extensions G=N.Q with N=Dic5 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
Dic5.1(C22:C4) = C42:3F5φ: C22:C4/C22 → C22 ⊆ Out Dic5804Dic5.1(C2^2:C4)320,201
Dic5.2(C22:C4) = D10.18D8φ: C22:C4/C22 → C22 ⊆ Out Dic580Dic5.2(C2^2:C4)320,212
Dic5.3(C22:C4) = (C2xC8):F5φ: C22:C4/C22 → C22 ⊆ Out Dic5804Dic5.3(C2^2:C4)320,232
Dic5.4(C22:C4) = C20.25C42φ: C22:C4/C22 → C22 ⊆ Out Dic5804Dic5.4(C2^2:C4)320,235
Dic5.5(C22:C4) = M4(2):F5φ: C22:C4/C22 → C22 ⊆ Out Dic5408Dic5.5(C2^2:C4)320,237
Dic5.6(C22:C4) = C22.F5:C4φ: C22:C4/C22 → C22 ⊆ Out Dic5160Dic5.6(C2^2:C4)320,257
Dic5.7(C22:C4) = C23:F5:5C2φ: C22:C4/C22 → C22 ⊆ Out Dic5804Dic5.7(C2^2:C4)320,1083
Dic5.8(C22:C4) = C2xDic5.D4φ: C22:C4/C22 → C22 ⊆ Out Dic5160Dic5.8(C2^2:C4)320,1098
Dic5.9(C22:C4) = C2xD20:C4φ: C22:C4/C22 → C22 ⊆ Out Dic580Dic5.9(C2^2:C4)320,1104
Dic5.10(C22:C4) = (D4xC10):C4φ: C22:C4/C22 → C22 ⊆ Out Dic5408+Dic5.10(C2^2:C4)320,1105
Dic5.11(C22:C4) = (C2xD4).7F5φ: C22:C4/C22 → C22 ⊆ Out Dic5160Dic5.11(C2^2:C4)320,1113
Dic5.12(C22:C4) = C2xQ8:F5φ: C22:C4/C22 → C22 ⊆ Out Dic580Dic5.12(C2^2:C4)320,1119
Dic5.13(C22:C4) = (C2xQ8):4F5φ: C22:C4/C22 → C22 ⊆ Out Dic5808-Dic5.13(C2^2:C4)320,1120
Dic5.14(C22:C4) = (C2xF5):Q8φ: C22:C4/C22 → C22 ⊆ Out Dic580Dic5.14(C2^2:C4)320,1128
Dic5.15(C22:C4) = D5:C4wrC2φ: C22:C4/C22 → C22 ⊆ Out Dic5408Dic5.15(C2^2:C4)320,1130
Dic5.16(C22:C4) = D4:F5:C2φ: C22:C4/C22 → C22 ⊆ Out Dic5808Dic5.16(C2^2:C4)320,1133
Dic5.17(C22:C4) = C2xC23.F5φ: C22:C4/C22 → C22 ⊆ Out Dic580Dic5.17(C2^2:C4)320,1137
Dic5.18(C22:C4) = (C2xC20):Q8φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5320Dic5.18(C2^2:C4)320,273
Dic5.19(C22:C4) = C22:C8:D5φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5160Dic5.19(C2^2:C4)320,354
Dic5.20(C22:C4) = C23:C4:5D5φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5808-Dic5.20(C2^2:C4)320,367
Dic5.21(C22:C4) = D5xC4.D4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5408+Dic5.21(C2^2:C4)320,371
Dic5.22(C22:C4) = D5xC4.10D4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5808-Dic5.22(C2^2:C4)320,377
Dic5.23(C22:C4) = D5xD4:C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic580Dic5.23(C2^2:C4)320,396
Dic5.24(C22:C4) = (D4xD5):C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic580Dic5.24(C2^2:C4)320,397
Dic5.25(C22:C4) = D5xQ8:C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5160Dic5.25(C2^2:C4)320,428
Dic5.26(C22:C4) = (Q8xD5):C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5160Dic5.26(C2^2:C4)320,429
Dic5.27(C22:C4) = D5xC4wrC2φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5404Dic5.27(C2^2:C4)320,447
Dic5.28(C22:C4) = C42:6F5φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5404Dic5.28(C2^2:C4)320,200
Dic5.29(C22:C4) = C22:C4.F5φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5808-Dic5.29(C2^2:C4)320,205
Dic5.30(C22:C4) = C20.C42φ: C22:C4/C2xC4 → C2 ⊆ Out Dic580Dic5.30(C2^2:C4)320,213
Dic5.31(C22:C4) = D10.3M4(2)φ: C22:C4/C2xC4 → C2 ⊆ Out Dic580Dic5.31(C2^2:C4)320,230
Dic5.32(C22:C4) = C20.10C42φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5160Dic5.32(C2^2:C4)320,234
Dic5.33(C22:C4) = M4(2).F5φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5808Dic5.33(C2^2:C4)320,239
Dic5.34(C22:C4) = M4(2):4F5φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5808Dic5.34(C2^2:C4)320,240
Dic5.35(C22:C4) = C10.(C4:C8)φ: C22:C4/C2xC4 → C2 ⊆ Out Dic5320Dic5.35(C2^2:C4)320,256
Dic5.36(C22:C4) = D10:7M4(2)φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5.36(C2^2:C4)320,353
Dic5.37(C22:C4) = D4:(C4xD5)φ: C22:C4/C23 → C2 ⊆ Out Dic5160Dic5.37(C2^2:C4)320,398
Dic5.38(C22:C4) = Q8:(C4xD5)φ: C22:C4/C23 → C2 ⊆ Out Dic5160Dic5.38(C2^2:C4)320,430
Dic5.39(C22:C4) = C42:D10φ: C22:C4/C23 → C2 ⊆ Out Dic5804Dic5.39(C2^2:C4)320,448
Dic5.40(C22:C4) = C2xD10:C8φ: C22:C4/C23 → C2 ⊆ Out Dic5160Dic5.40(C2^2:C4)320,1089
Dic5.41(C22:C4) = D10:9M4(2)φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5.41(C2^2:C4)320,1093
Dic5.42(C22:C4) = C2xD4:F5φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5.42(C2^2:C4)320,1106
Dic5.43(C22:C4) = (C2xD4):6F5φ: C22:C4/C23 → C2 ⊆ Out Dic5808-Dic5.43(C2^2:C4)320,1107
Dic5.44(C22:C4) = (C2xD4):8F5φ: C22:C4/C23 → C2 ⊆ Out Dic5808-Dic5.44(C2^2:C4)320,1109
Dic5.45(C22:C4) = (C2xD4).9F5φ: C22:C4/C23 → C2 ⊆ Out Dic5808-Dic5.45(C2^2:C4)320,1115
Dic5.46(C22:C4) = C2xQ8:2F5φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5.46(C2^2:C4)320,1121
Dic5.47(C22:C4) = (C2xQ8):6F5φ: C22:C4/C23 → C2 ⊆ Out Dic5808+Dic5.47(C2^2:C4)320,1122
Dic5.48(C22:C4) = (C2xQ8):7F5φ: C22:C4/C23 → C2 ⊆ Out Dic5808+Dic5.48(C2^2:C4)320,1123
Dic5.49(C22:C4) = C4oD4:F5φ: C22:C4/C23 → C2 ⊆ Out Dic5408Dic5.49(C2^2:C4)320,1131
Dic5.50(C22:C4) = C4oD20:C4φ: C22:C4/C23 → C2 ⊆ Out Dic5808Dic5.50(C2^2:C4)320,1132
Dic5.51(C22:C4) = C2xC23.2F5φ: C22:C4/C23 → C2 ⊆ Out Dic5160Dic5.51(C2^2:C4)320,1135
Dic5.52(C22:C4) = C24.4F5φ: C22:C4/C23 → C2 ⊆ Out Dic580Dic5.52(C2^2:C4)320,1136
Dic5.53(C22:C4) = D5xC22:C8φ: trivial image80Dic5.53(C2^2:C4)320,351
Dic5.54(C22:C4) = M4(2).19D10φ: trivial image808-Dic5.54(C2^2:C4)320,372
Dic5.55(C22:C4) = M4(2).21D10φ: trivial image808+Dic5.55(C2^2:C4)320,378
Dic5.56(C22:C4) = D4:2D5:C4φ: trivial image160Dic5.56(C2^2:C4)320,399
Dic5.57(C22:C4) = Q8:2D5:C4φ: trivial image160Dic5.57(C2^2:C4)320,431

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