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Extensions 1→N→G→Q→1 with N=Dic6 and Q=C2×C4

Direct product G=N×Q with N=Dic6 and Q=C2×C4
dρLabelID
C2×C4×Dic6192C2xC4xDic6192,1026

Semidirect products G=N:Q with N=Dic6 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic6⋊1(C2×C4) = D4.S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6:1(C2xC4)192,316
Dic6⋊2(C2×C4) = Dic3⋊6SD16φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6:2(C2xC4)192,317
Dic6⋊3(C2×C4) = D4⋊(C4×S3)φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6:3(C2xC4)192,330
Dic6⋊4(C2×C4) = S3×Q8⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6:4(C2xC4)192,360
Dic6⋊5(C2×C4) = S3×C4≀C2φ: C2×C4/C2 → C22 ⊆ Out Dic6244Dic6:5(C2xC4)192,379
Dic6⋊6(C2×C4) = Dic3⋊8SD16φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6:6(C2xC4)192,411
Dic6⋊7(C2×C4) = C24⋊C2⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6:7(C2xC4)192,448
Dic6⋊8(C2×C4) = C4×C24⋊C2φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:8(C2xC4)192,250
Dic6⋊9(C2×C4) = C42.16D6φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:9(C2xC4)192,269
Dic6⋊10(C2×C4) = C4×D4.S3φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:10(C2xC4)192,576
Dic6⋊11(C2×C4) = C42.51D6φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:11(C2xC4)192,577
Dic6⋊12(C2×C4) = C4×D4⋊2S3φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:12(C2xC4)192,1095
Dic6⋊13(C2×C4) = C42.108D6φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:13(C2xC4)192,1105
Dic6⋊14(C2×C4) = C4×S3×Q8φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6:14(C2xC4)192,1130
Dic6⋊15(C2×C4) = C2×C42⋊4S3φ: C2×C4/C22 → C2 ⊆ Out Dic648Dic6:15(C2xC4)192,486
Dic6⋊16(C2×C4) = C2×C6.SD16φ: C2×C4/C22 → C2 ⊆ Out Dic6192Dic6:16(C2xC4)192,662
Dic6⋊17(C2×C4) = C23.54D12φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6:17(C2xC4)192,692
Dic6⋊18(C2×C4) = C4○D12⋊C4φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6:18(C2xC4)192,525
Dic6⋊19(C2×C4) = C2×C6.Q16φ: C2×C4/C22 → C2 ⊆ Out Dic6192Dic6:19(C2xC4)192,528
Dic6⋊20(C2×C4) = C2×D12⋊C4φ: C2×C4/C22 → C2 ⊆ Out Dic648Dic6:20(C2xC4)192,697
Dic6⋊21(C2×C4) = C2×Dic6⋊C4φ: C2×C4/C22 → C2 ⊆ Out Dic6192Dic6:21(C2xC4)192,1055
Dic6⋊22(C2×C4) = C6.82+ (1+4)φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6:22(C2xC4)192,1063
Dic6⋊23(C2×C4) = C42.188D6φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6:23(C2xC4)192,1081
Dic6⋊24(C2×C4) = C4×C4○D12φ: trivial image96Dic6:24(C2xC4)192,1033
Dic6⋊25(C2×C4) = C42.91D6φ: trivial image96Dic6:25(C2xC4)192,1082

Non-split extensions G=N.Q with N=Dic6 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic6.1(C2×C4) = D4⋊2S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6.1(C2xC4)192,331
Dic6.2(C2×C4) = C3⋊Q16⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic6192Dic6.2(C2xC4)192,348
Dic6.3(C2×C4) = Dic3⋊4Q16φ: C2×C4/C2 → C22 ⊆ Out Dic6192Dic6.3(C2xC4)192,349
Dic6.4(C2×C4) = (S3×Q8)⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic696Dic6.4(C2xC4)192,361
Dic6.5(C2×C4) = C42⋊3D6φ: C2×C4/C2 → C22 ⊆ Out Dic6484Dic6.5(C2xC4)192,380
Dic6.6(C2×C4) = M4(2).22D6φ: C2×C4/C2 → C22 ⊆ Out Dic6484Dic6.6(C2xC4)192,382
Dic6.7(C2×C4) = C42.196D6φ: C2×C4/C2 → C22 ⊆ Out Dic6484Dic6.7(C2xC4)192,383
Dic6.8(C2×C4) = Dic12⋊9C4φ: C2×C4/C2 → C22 ⊆ Out Dic6192Dic6.8(C2xC4)192,412
Dic6.9(C2×C4) = Dic3⋊5Q16φ: C2×C4/C2 → C22 ⊆ Out Dic6192Dic6.9(C2xC4)192,432
Dic6.10(C2×C4) = D24⋊10C4φ: C2×C4/C2 → C22 ⊆ Out Dic6484Dic6.10(C2xC4)192,453
Dic6.11(C2×C4) = D24⋊7C4φ: C2×C4/C2 → C22 ⊆ Out Dic6484Dic6.11(C2xC4)192,454
Dic6.12(C2×C4) = C4×Dic12φ: C2×C4/C4 → C2 ⊆ Out Dic6192Dic6.12(C2xC4)192,257
Dic6.13(C2×C4) = D24⋊11C4φ: C2×C4/C4 → C2 ⊆ Out Dic6482Dic6.13(C2xC4)192,259
Dic6.14(C2×C4) = Dic12⋊C4φ: C2×C4/C4 → C2 ⊆ Out Dic6192Dic6.14(C2xC4)192,275
Dic6.15(C2×C4) = D24⋊4C4φ: C2×C4/C4 → C2 ⊆ Out Dic6484Dic6.15(C2xC4)192,276
Dic6.16(C2×C4) = C4×C3⋊Q16φ: C2×C4/C4 → C2 ⊆ Out Dic6192Dic6.16(C2xC4)192,588
Dic6.17(C2×C4) = C42.59D6φ: C2×C4/C4 → C2 ⊆ Out Dic6192Dic6.17(C2xC4)192,589
Dic6.18(C2×C4) = C24.100D4φ: C2×C4/C4 → C2 ⊆ Out Dic6484Dic6.18(C2xC4)192,703
Dic6.19(C2×C4) = C24.54D4φ: C2×C4/C4 → C2 ⊆ Out Dic6484Dic6.19(C2xC4)192,704
Dic6.20(C2×C4) = C42.125D6φ: C2×C4/C4 → C2 ⊆ Out Dic696Dic6.20(C2xC4)192,1131
Dic6.21(C2×C4) = S3×C8○D4φ: C2×C4/C4 → C2 ⊆ Out Dic6484Dic6.21(C2xC4)192,1308
Dic6.22(C2×C4) = M4(2)⋊28D6φ: C2×C4/C4 → C2 ⊆ Out Dic6484Dic6.22(C2xC4)192,1309
Dic6.23(C2×C4) = C42⋊6D6φ: C2×C4/C22 → C2 ⊆ Out Dic6484Dic6.23(C2xC4)192,564
Dic6.24(C2×C4) = C23.28D12φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6.24(C2xC4)192,672
Dic6.25(C2×C4) = C23.51D12φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6.25(C2xC4)192,679
Dic6.26(C2×C4) = C4.(C2×D12)φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6.26(C2xC4)192,561
Dic6.27(C2×C4) = C4⋊C4.237D6φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6.27(C2xC4)192,563
Dic6.28(C2×C4) = M4(2)⋊24D6φ: C2×C4/C22 → C2 ⊆ Out Dic6484Dic6.28(C2xC4)192,698
Dic6.29(C2×C4) = C2×D12.C4φ: C2×C4/C22 → C2 ⊆ Out Dic696Dic6.29(C2xC4)192,1303
Dic6.30(C2×C4) = M4(2)⋊26D6φ: C2×C4/C22 → C2 ⊆ Out Dic6484Dic6.30(C2xC4)192,1304
Dic6.31(C2×C4) = C42.87D6φ: trivial image96Dic6.31(C2xC4)192,1075
Dic6.32(C2×C4) = C2×C8○D12φ: trivial image96Dic6.32(C2xC4)192,1297

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