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Extensions 1→N→G→Q→1 with N=D12 and Q=C2×C4

Direct product G=N×Q with N=D12 and Q=C2×C4
dρLabelID
C2×C4×D1296C2xC4xD12192,1032

Semidirect products G=N:Q with N=D12 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D12⋊1(C2×C4) = Dic3⋊4D8φ: C2×C4/C2 → C22 ⊆ Out D1296D12:1(C2xC4)192,315
D12⋊2(C2×C4) = S3×D4⋊C4φ: C2×C4/C2 → C22 ⊆ Out D1248D12:2(C2xC4)192,328
D12⋊3(C2×C4) = D4⋊S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out D1296D12:3(C2xC4)192,344
D12⋊4(C2×C4) = Q8⋊7(C4×S3)φ: C2×C4/C2 → C22 ⊆ Out D1296D12:4(C2xC4)192,362
D12⋊5(C2×C4) = S3×C4≀C2φ: C2×C4/C2 → C22 ⊆ Out D12244D12:5(C2xC4)192,379
D12⋊6(C2×C4) = D24⋊9C4φ: C2×C4/C2 → C22 ⊆ Out D1296D12:6(C2xC4)192,428
D12⋊7(C2×C4) = Dic3⋊5D8φ: C2×C4/C2 → C22 ⊆ Out D1296D12:7(C2xC4)192,431
D12⋊8(C2×C4) = C4×D24φ: C2×C4/C4 → C2 ⊆ Out D1296D12:8(C2xC4)192,251
D12⋊9(C2×C4) = D24⋊C4φ: C2×C4/C4 → C2 ⊆ Out D1296D12:9(C2xC4)192,270
D12⋊10(C2×C4) = C4×D4⋊S3φ: C2×C4/C4 → C2 ⊆ Out D1296D12:10(C2xC4)192,572
D12⋊11(C2×C4) = C42.48D6φ: C2×C4/C4 → C2 ⊆ Out D1296D12:11(C2xC4)192,573
D12⋊12(C2×C4) = C4×S3×D4φ: C2×C4/C4 → C2 ⊆ Out D1248D12:12(C2xC4)192,1103
D12⋊13(C2×C4) = C42⋊13D6φ: C2×C4/C4 → C2 ⊆ Out D1248D12:13(C2xC4)192,1104
D12⋊14(C2×C4) = C4×Q8⋊3S3φ: C2×C4/C4 → C2 ⊆ Out D1296D12:14(C2xC4)192,1132
D12⋊15(C2×C4) = C42.126D6φ: C2×C4/C4 → C2 ⊆ Out D1296D12:15(C2xC4)192,1133
D12⋊16(C2×C4) = C2×C42⋊4S3φ: C2×C4/C22 → C2 ⊆ Out D1248D12:16(C2xC4)192,486
D12⋊17(C2×C4) = C2×C2.D24φ: C2×C4/C22 → C2 ⊆ Out D1296D12:17(C2xC4)192,671
D12⋊18(C2×C4) = C23.54D12φ: C2×C4/C22 → C2 ⊆ Out D1296D12:18(C2xC4)192,692
D12⋊19(C2×C4) = C2×C6.D8φ: C2×C4/C22 → C2 ⊆ Out D1296D12:19(C2xC4)192,524
D12⋊20(C2×C4) = C4○D12⋊C4φ: C2×C4/C22 → C2 ⊆ Out D1296D12:20(C2xC4)192,525
D12⋊21(C2×C4) = C2×D12⋊C4φ: C2×C4/C22 → C2 ⊆ Out D1248D12:21(C2xC4)192,697
D12⋊22(C2×C4) = C2×Dic3⋊5D4φ: C2×C4/C22 → C2 ⊆ Out D1296D12:22(C2xC4)192,1062
D12⋊23(C2×C4) = C6.82+ 1+4φ: C2×C4/C22 → C2 ⊆ Out D1296D12:23(C2xC4)192,1063
D12⋊24(C2×C4) = C42.188D6φ: C2×C4/C22 → C2 ⊆ Out D1296D12:24(C2xC4)192,1081
D12⋊25(C2×C4) = C4×C4○D12φ: trivial image96D12:25(C2xC4)192,1033
D12⋊26(C2×C4) = C42⋊9D6φ: trivial image48D12:26(C2xC4)192,1080
D12⋊27(C2×C4) = C42.91D6φ: trivial image96D12:27(C2xC4)192,1082

Non-split extensions G=N.Q with N=D12 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D12.1(C2×C4) = C4⋊C4⋊19D6φ: C2×C4/C2 → C22 ⊆ Out D1248D12.1(C2xC4)192,329
D12.2(C2×C4) = Dic3⋊7SD16φ: C2×C4/C2 → C22 ⊆ Out D1296D12.2(C2xC4)192,347
D12.3(C2×C4) = C4⋊C4.150D6φ: C2×C4/C2 → C22 ⊆ Out D1296D12.3(C2xC4)192,363
D12.4(C2×C4) = Q8⋊3(C4×S3)φ: C2×C4/C2 → C22 ⊆ Out D1296D12.4(C2xC4)192,376
D12.5(C2×C4) = C42⋊3D6φ: C2×C4/C2 → C22 ⊆ Out D12484D12.5(C2xC4)192,380
D12.6(C2×C4) = M4(2).22D6φ: C2×C4/C2 → C22 ⊆ Out D12484D12.6(C2xC4)192,382
D12.7(C2×C4) = C42.196D6φ: C2×C4/C2 → C22 ⊆ Out D12484D12.7(C2xC4)192,383
D12.8(C2×C4) = Dic3⋊8SD16φ: C2×C4/C2 → C22 ⊆ Out D1296D12.8(C2xC4)192,411
D12.9(C2×C4) = C24⋊C2⋊C4φ: C2×C4/C2 → C22 ⊆ Out D1296D12.9(C2xC4)192,448
D12.10(C2×C4) = D24⋊10C4φ: C2×C4/C2 → C22 ⊆ Out D12484D12.10(C2xC4)192,453
D12.11(C2×C4) = D24⋊7C4φ: C2×C4/C2 → C22 ⊆ Out D12484D12.11(C2xC4)192,454
D12.12(C2×C4) = C4×C24⋊C2φ: C2×C4/C4 → C2 ⊆ Out D1296D12.12(C2xC4)192,250
D12.13(C2×C4) = D24⋊11C4φ: C2×C4/C4 → C2 ⊆ Out D12482D12.13(C2xC4)192,259
D12.14(C2×C4) = C42.16D6φ: C2×C4/C4 → C2 ⊆ Out D1296D12.14(C2xC4)192,269
D12.15(C2×C4) = D24⋊4C4φ: C2×C4/C4 → C2 ⊆ Out D12484D12.15(C2xC4)192,276
D12.16(C2×C4) = C4×Q8⋊2S3φ: C2×C4/C4 → C2 ⊆ Out D1296D12.16(C2xC4)192,584
D12.17(C2×C4) = C42.56D6φ: C2×C4/C4 → C2 ⊆ Out D1296D12.17(C2xC4)192,585
D12.18(C2×C4) = C24.100D4φ: C2×C4/C4 → C2 ⊆ Out D12484D12.18(C2xC4)192,703
D12.19(C2×C4) = C24.54D4φ: C2×C4/C4 → C2 ⊆ Out D12484D12.19(C2xC4)192,704
D12.20(C2×C4) = S3×C8○D4φ: C2×C4/C4 → C2 ⊆ Out D12484D12.20(C2xC4)192,1308
D12.21(C2×C4) = M4(2)⋊28D6φ: C2×C4/C4 → C2 ⊆ Out D12484D12.21(C2xC4)192,1309
D12.22(C2×C4) = C42⋊6D6φ: C2×C4/C22 → C2 ⊆ Out D12484D12.22(C2xC4)192,564
D12.23(C2×C4) = C23.28D12φ: C2×C4/C22 → C2 ⊆ Out D1296D12.23(C2xC4)192,672
D12.24(C2×C4) = C23.53D12φ: C2×C4/C22 → C2 ⊆ Out D1248D12.24(C2xC4)192,690
D12.25(C2×C4) = C4⋊C4⋊36D6φ: C2×C4/C22 → C2 ⊆ Out D1248D12.25(C2xC4)192,560
D12.26(C2×C4) = C4.(C2×D12)φ: C2×C4/C22 → C2 ⊆ Out D1296D12.26(C2xC4)192,561
D12.27(C2×C4) = M4(2)⋊24D6φ: C2×C4/C22 → C2 ⊆ Out D12484D12.27(C2xC4)192,698
D12.28(C2×C4) = C2×D12.C4φ: C2×C4/C22 → C2 ⊆ Out D1296D12.28(C2xC4)192,1303
D12.29(C2×C4) = M4(2)⋊26D6φ: C2×C4/C22 → C2 ⊆ Out D12484D12.29(C2xC4)192,1304
D12.30(C2×C4) = C2×C8○D12φ: trivial image96D12.30(C2xC4)192,1297

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