# Extensions 1→N→G→Q→1 with N=D60 and Q=C22

Direct product G=N×Q with N=D60 and Q=C22
dρLabelID
C22×D60240C2^2xD60480,1167

Semidirect products G=N:Q with N=D60 and Q=C22
extensionφ:Q→Out NdρLabelID
D601C22 = D5×D4⋊S3φ: C22/C1C22 ⊆ Out D601208+D60:1C2^2480,553
D602C22 = S3×D4⋊D5φ: C22/C1C22 ⊆ Out D601208+D60:2C2^2480,555
D603C22 = D15⋊D8φ: C22/C1C22 ⊆ Out D601208+D60:3C2^2480,557
D604C22 = D20.9D6φ: C22/C1C22 ⊆ Out D601208+D60:4C2^2480,567
D605C22 = D12.9D10φ: C22/C1C22 ⊆ Out D601208+D60:5C2^2480,572
D606C22 = D60⋊C22φ: C22/C1C22 ⊆ Out D601208+D60:6C2^2480,582
D607C22 = S3×D4×D5φ: C22/C1C22 ⊆ Out D60608+D60:7C2^2480,1097
D608C22 = D30.C23φ: C22/C1C22 ⊆ Out D601208+D60:8C2^2480,1100
D609C22 = D2014D6φ: C22/C1C22 ⊆ Out D601208+D60:9C2^2480,1102
D6010C22 = D1214D10φ: C22/C1C22 ⊆ Out D601208+D60:10C2^2480,1103
D6011C22 = D5×Q83S3φ: C22/C1C22 ⊆ Out D601208+D60:11C2^2480,1108
D6012C22 = S3×Q82D5φ: C22/C1C22 ⊆ Out D601208+D60:12C2^2480,1109
D6013C22 = D2017D6φ: C22/C1C22 ⊆ Out D601208+D60:13C2^2480,1111
D6014C22 = D8×D15φ: C22/C1C22 ⊆ Out D601204+D60:14C2^2480,875
D6015C22 = Q83D30φ: C22/C1C22 ⊆ Out D601204+D60:15C2^2480,879
D6016C22 = S3×D40φ: C22/C1C22 ⊆ Out D601204+D60:16C2^2480,328
D6017C22 = C401D6φ: C22/C1C22 ⊆ Out D601204+D60:17C2^2480,329
D6018C22 = D5×D24φ: C22/C1C22 ⊆ Out D601204+D60:18C2^2480,324
D6019C22 = C24⋊D10φ: C22/C1C22 ⊆ Out D601204+D60:19C2^2480,325
D6020C22 = C2×D120φ: C22/C2C2 ⊆ Out D60240D60:20C2^2480,868
D6021C22 = C8⋊D30φ: C22/C2C2 ⊆ Out D601204+D60:21C2^2480,873
D6022C22 = C2×D4⋊D15φ: C22/C2C2 ⊆ Out D60240D60:22C2^2480,896
D6023C22 = D4.D30φ: C22/C2C2 ⊆ Out D601204D60:23C2^2480,897
D6024C22 = C2×D4×D15φ: C22/C2C2 ⊆ Out D60120D60:24C2^2480,1169
D6025C22 = D46D30φ: C22/C2C2 ⊆ Out D601204D60:25C2^2480,1171
D6026C22 = C2×Q83D15φ: C22/C2C2 ⊆ Out D60240D60:26C2^2480,1173
D6027C22 = C4○D4×D15φ: C22/C2C2 ⊆ Out D601204D60:27C2^2480,1175
D6028C22 = D48D30φ: C22/C2C2 ⊆ Out D601204+D60:28C2^2480,1176
D6029C22 = C2×C3⋊D40φ: C22/C2C2 ⊆ Out D60240D60:29C2^2480,376
D6030C22 = D6030C22φ: C22/C2C2 ⊆ Out D601204D60:30C2^2480,388
D6031C22 = C2×D60⋊C2φ: C22/C2C2 ⊆ Out D60240D60:31C2^2480,1081
D6032C22 = C2×S3×D20φ: C22/C2C2 ⊆ Out D60120D60:32C2^2480,1088
D6033C22 = S3×C4○D20φ: C22/C2C2 ⊆ Out D601204D60:33C2^2480,1091
D6034C22 = D2025D6φ: C22/C2C2 ⊆ Out D601204D60:34C2^2480,1093
D6035C22 = C2×C5⋊D24φ: C22/C2C2 ⊆ Out D60240D60:35C2^2480,378
D6036C22 = D6036C22φ: C22/C2C2 ⊆ Out D601204D60:36C2^2480,380
D6037C22 = C2×C12.28D10φ: C22/C2C2 ⊆ Out D60240D60:37C2^2480,1085
D6038C22 = C2×D5×D12φ: C22/C2C2 ⊆ Out D60120D60:38C2^2480,1087
D6039C22 = D5×C4○D12φ: C22/C2C2 ⊆ Out D601204D60:39C2^2480,1090
D6040C22 = D2026D6φ: C22/C2C2 ⊆ Out D601204D60:40C2^2480,1094
D6041C22 = D2029D6φ: C22/C2C2 ⊆ Out D601204+D60:41C2^2480,1095
D6042C22 = C2×D6011C2φ: trivial image240D60:42C2^2480,1168

Non-split extensions G=N.Q with N=D60 and Q=C22
extensionφ:Q→Out NdρLabelID
D60.1C22 = Dic103D6φ: C22/C1C22 ⊆ Out D601208+D60.1C2^2480,554
D60.2C22 = D60.C22φ: C22/C1C22 ⊆ Out D601208+D60.2C2^2480,556
D60.3C22 = Dic10⋊D6φ: C22/C1C22 ⊆ Out D601208+D60.3C2^2480,563
D60.4C22 = C60.16C23φ: C22/C1C22 ⊆ Out D602408+D60.4C2^2480,568
D60.5C22 = C60.19C23φ: C22/C1C22 ⊆ Out D602408+D60.5C2^2480,571
D60.6C22 = Dic6⋊D10φ: C22/C1C22 ⊆ Out D601208+D60.6C2^2480,574
D60.7C22 = D125D10φ: C22/C1C22 ⊆ Out D601208+D60.7C2^2480,576
D60.8C22 = D5×Q82S3φ: C22/C1C22 ⊆ Out D601208+D60.8C2^2480,577
D60.9C22 = D20⋊D6φ: C22/C1C22 ⊆ Out D601208+D60.9C2^2480,578
D60.10C22 = S3×Q8⋊D5φ: C22/C1C22 ⊆ Out D601208+D60.10C2^2480,579
D60.11C22 = D12⋊D10φ: C22/C1C22 ⊆ Out D601208+D60.11C2^2480,580
D60.12C22 = C60.C23φ: C22/C1C22 ⊆ Out D602408+D60.12C2^2480,588
D60.13C22 = C60.39C23φ: C22/C1C22 ⊆ Out D602408+D60.13C2^2480,591
D60.14C22 = D20.D6φ: C22/C1C22 ⊆ Out D602408+D60.14C2^2480,592
D60.15C22 = Dic10.27D6φ: C22/C1C22 ⊆ Out D602408+D60.15C2^2480,595
D60.16C22 = C60.44C23φ: C22/C1C22 ⊆ Out D602408+D60.16C2^2480,596
D60.17C22 = D20.16D6φ: C22/C1C22 ⊆ Out D602408+D60.17C2^2480,597
D60.18C22 = D12.D10φ: C22/C1C22 ⊆ Out D602408+D60.18C2^2480,599
D60.19C22 = C30.33C24φ: C22/C1C22 ⊆ Out D602408+D60.19C2^2480,1105
D60.20C22 = D8⋊D15φ: C22/C1C22 ⊆ Out D601204D60.20C2^2480,876
D60.21C22 = SD16×D15φ: C22/C1C22 ⊆ Out D601204D60.21C2^2480,878
D60.22C22 = D4.5D30φ: C22/C1C22 ⊆ Out D602404D60.22C2^2480,881
D60.23C22 = Q16⋊D15φ: C22/C1C22 ⊆ Out D602404D60.23C2^2480,883
D60.24C22 = D1208C2φ: C22/C1C22 ⊆ Out D602404+D60.24C2^2480,884
D60.25C22 = S3×C40⋊C2φ: C22/C1C22 ⊆ Out D601204D60.25C2^2480,327
D60.26C22 = D40⋊S3φ: C22/C1C22 ⊆ Out D601204D60.26C2^2480,330
D60.27C22 = Dic20⋊S3φ: C22/C1C22 ⊆ Out D602404D60.27C2^2480,339
D60.28C22 = D6.1D20φ: C22/C1C22 ⊆ Out D602404D60.28C2^2480,348
D60.29C22 = D1205C2φ: C22/C1C22 ⊆ Out D602404+D60.29C2^2480,351
D60.30C22 = D5×C24⋊C2φ: C22/C1C22 ⊆ Out D601204D60.30C2^2480,323
D60.31C22 = D24⋊D5φ: C22/C1C22 ⊆ Out D601204D60.31C2^2480,326
D60.32C22 = C24.2D10φ: C22/C1C22 ⊆ Out D602404D60.32C2^2480,337
D60.33C22 = C40.31D6φ: C22/C1C22 ⊆ Out D602404D60.33C2^2480,345
D60.34C22 = D120⋊C2φ: C22/C1C22 ⊆ Out D602404+D60.34C2^2480,347
D60.35C22 = C2×C24⋊D5φ: C22/C2C2 ⊆ Out D60240D60.35C2^2480,867
D60.36C22 = C40.69D6φ: C22/C2C2 ⊆ Out D602402D60.36C2^2480,869
D60.37C22 = C8.D30φ: C22/C2C2 ⊆ Out D602404-D60.37C2^2480,874
D60.38C22 = C2×Q82D15φ: C22/C2C2 ⊆ Out D60240D60.38C2^2480,906
D60.39C22 = Q8.11D30φ: C22/C2C2 ⊆ Out D602404D60.39C2^2480,907
D60.40C22 = D4⋊D30φ: C22/C2C2 ⊆ Out D601204+D60.40C2^2480,914
D60.41C22 = D4.8D30φ: C22/C2C2 ⊆ Out D602404D60.41C2^2480,915
D60.42C22 = Q8.15D30φ: C22/C2C2 ⊆ Out D602404D60.42C2^2480,1174
D60.43C22 = D2019D6φ: C22/C2C2 ⊆ Out D601204+D60.43C2^2480,377
D60.44C22 = D20.31D6φ: C22/C2C2 ⊆ Out D602404D60.44C2^2480,387
D60.45C22 = C2×C15⋊SD16φ: C22/C2C2 ⊆ Out D60240D60.45C2^2480,390
D60.46C22 = C12.D20φ: C22/C2C2 ⊆ Out D602404D60.46C2^2480,391
D60.47C22 = C30.C24φ: C22/C2C2 ⊆ Out D602404D60.47C2^2480,1080
D60.48C22 = C20.60D12φ: C22/C2C2 ⊆ Out D602404D60.48C2^2480,379
D60.49C22 = C60.38D4φ: C22/C2C2 ⊆ Out D601204+D60.49C2^2480,381
D60.50C22 = C2×Dic6⋊D5φ: C22/C2C2 ⊆ Out D60240D60.50C2^2480,393
D60.51C22 = C20.D12φ: C22/C2C2 ⊆ Out D602404D60.51C2^2480,397
D60.52C22 = D20.38D6φ: C22/C2C2 ⊆ Out D602404D60.52C2^2480,1076
D60.53C22 = D4.10D30φ: trivial image2404-D60.53C2^2480,1177

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