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Extensions 1→N→G→Q→1 with N=Dic14 and Q=C2×C4

Direct product G=N×Q with N=Dic14 and Q=C2×C4
dρLabelID
C2×C4×Dic14448C2xC4xDic14448,920

Semidirect products G=N:Q with N=Dic14 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic14⋊1(C2×C4) = D4.D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14:1(C2xC4)448,291
Dic14⋊2(C2×C4) = Dic7⋊6SD16φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14:2(C2xC4)448,292
Dic14⋊3(C2×C4) = D4⋊(C4×D7)φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14:3(C2xC4)448,305
Dic14⋊4(C2×C4) = D7×Q8⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14:4(C2xC4)448,335
Dic14⋊5(C2×C4) = D7×C4≀C2φ: C2×C4/C2 → C22 ⊆ Out Dic14564Dic14:5(C2xC4)448,354
Dic14⋊6(C2×C4) = Dic7⋊8SD16φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14:6(C2xC4)448,386
Dic14⋊7(C2×C4) = C56⋊C2⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14:7(C2xC4)448,423
Dic14⋊8(C2×C4) = C4×C56⋊C2φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:8(C2xC4)448,225
Dic14⋊9(C2×C4) = C42.16D14φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:9(C2xC4)448,244
Dic14⋊10(C2×C4) = C4×D4.D7φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:10(C2xC4)448,551
Dic14⋊11(C2×C4) = C42.51D14φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:11(C2xC4)448,552
Dic14⋊12(C2×C4) = C4×D4⋊2D7φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:12(C2xC4)448,989
Dic14⋊13(C2×C4) = C42.108D14φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:13(C2xC4)448,999
Dic14⋊14(C2×C4) = C4×Q8×D7φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14:14(C2xC4)448,1024
Dic14⋊15(C2×C4) = C2×Dic14⋊C4φ: C2×C4/C22 → C2 ⊆ Out Dic14112Dic14:15(C2xC4)448,461
Dic14⋊16(C2×C4) = C2×C28.44D4φ: C2×C4/C22 → C2 ⊆ Out Dic14448Dic14:16(C2xC4)448,637
Dic14⋊17(C2×C4) = C23.49D28φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14:17(C2xC4)448,667
Dic14⋊18(C2×C4) = C4○D28⋊C4φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14:18(C2xC4)448,500
Dic14⋊19(C2×C4) = C2×C14.Q16φ: C2×C4/C22 → C2 ⊆ Out Dic14448Dic14:19(C2xC4)448,503
Dic14⋊20(C2×C4) = C2×D28⋊4C4φ: C2×C4/C22 → C2 ⊆ Out Dic14112Dic14:20(C2xC4)448,672
Dic14⋊21(C2×C4) = C2×Dic7⋊3Q8φ: C2×C4/C22 → C2 ⊆ Out Dic14448Dic14:21(C2xC4)448,949
Dic14⋊22(C2×C4) = C14.82+ 1+4φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14:22(C2xC4)448,957
Dic14⋊23(C2×C4) = C42.188D14φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14:23(C2xC4)448,975
Dic14⋊24(C2×C4) = C4×C4○D28φ: trivial image224Dic14:24(C2xC4)448,927
Dic14⋊25(C2×C4) = C42.91D14φ: trivial image224Dic14:25(C2xC4)448,976

Non-split extensions G=N.Q with N=Dic14 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic14.1(C2×C4) = D4⋊2D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14.1(C2xC4)448,306
Dic14.2(C2×C4) = C7⋊Q16⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic14448Dic14.2(C2xC4)448,323
Dic14.3(C2×C4) = Dic7⋊4Q16φ: C2×C4/C2 → C22 ⊆ Out Dic14448Dic14.3(C2xC4)448,324
Dic14.4(C2×C4) = (Q8×D7)⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic14224Dic14.4(C2xC4)448,336
Dic14.5(C2×C4) = C42⋊D14φ: C2×C4/C2 → C22 ⊆ Out Dic141124Dic14.5(C2xC4)448,355
Dic14.6(C2×C4) = M4(2).22D14φ: C2×C4/C2 → C22 ⊆ Out Dic141124Dic14.6(C2xC4)448,357
Dic14.7(C2×C4) = C42.196D14φ: C2×C4/C2 → C22 ⊆ Out Dic141124Dic14.7(C2xC4)448,358
Dic14.8(C2×C4) = Dic28⋊9C4φ: C2×C4/C2 → C22 ⊆ Out Dic14448Dic14.8(C2xC4)448,387
Dic14.9(C2×C4) = Dic28⋊6C4φ: C2×C4/C2 → C22 ⊆ Out Dic14448Dic14.9(C2xC4)448,407
Dic14.10(C2×C4) = D56⋊10C4φ: C2×C4/C2 → C22 ⊆ Out Dic141124Dic14.10(C2xC4)448,428
Dic14.11(C2×C4) = D56⋊7C4φ: C2×C4/C2 → C22 ⊆ Out Dic141124Dic14.11(C2xC4)448,429
Dic14.12(C2×C4) = C4×Dic28φ: C2×C4/C4 → C2 ⊆ Out Dic14448Dic14.12(C2xC4)448,232
Dic14.13(C2×C4) = D56⋊11C4φ: C2×C4/C4 → C2 ⊆ Out Dic141122Dic14.13(C2xC4)448,234
Dic14.14(C2×C4) = Dic28⋊C4φ: C2×C4/C4 → C2 ⊆ Out Dic14448Dic14.14(C2xC4)448,250
Dic14.15(C2×C4) = D56⋊4C4φ: C2×C4/C4 → C2 ⊆ Out Dic141124Dic14.15(C2xC4)448,251
Dic14.16(C2×C4) = C4×C7⋊Q16φ: C2×C4/C4 → C2 ⊆ Out Dic14448Dic14.16(C2xC4)448,563
Dic14.17(C2×C4) = C42.59D14φ: C2×C4/C4 → C2 ⊆ Out Dic14448Dic14.17(C2xC4)448,564
Dic14.18(C2×C4) = C56.93D4φ: C2×C4/C4 → C2 ⊆ Out Dic141124Dic14.18(C2xC4)448,678
Dic14.19(C2×C4) = C56.50D4φ: C2×C4/C4 → C2 ⊆ Out Dic141124Dic14.19(C2xC4)448,679
Dic14.20(C2×C4) = C42.125D14φ: C2×C4/C4 → C2 ⊆ Out Dic14224Dic14.20(C2xC4)448,1025
Dic14.21(C2×C4) = D7×C8○D4φ: C2×C4/C4 → C2 ⊆ Out Dic141124Dic14.21(C2xC4)448,1202
Dic14.22(C2×C4) = C56.49C23φ: C2×C4/C4 → C2 ⊆ Out Dic141124Dic14.22(C2xC4)448,1203
Dic14.23(C2×C4) = C42⋊4D14φ: C2×C4/C22 → C2 ⊆ Out Dic141124Dic14.23(C2xC4)448,539
Dic14.24(C2×C4) = C23.23D28φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14.24(C2xC4)448,647
Dic14.25(C2×C4) = C23.46D28φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14.25(C2xC4)448,654
Dic14.26(C2×C4) = C4.(C2×D28)φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14.26(C2xC4)448,536
Dic14.27(C2×C4) = (C2×C4).47D28φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14.27(C2xC4)448,538
Dic14.28(C2×C4) = C23.20D28φ: C2×C4/C22 → C2 ⊆ Out Dic141124Dic14.28(C2xC4)448,673
Dic14.29(C2×C4) = C2×D28.C4φ: C2×C4/C22 → C2 ⊆ Out Dic14224Dic14.29(C2xC4)448,1197
Dic14.30(C2×C4) = C28.70C24φ: C2×C4/C22 → C2 ⊆ Out Dic141124Dic14.30(C2xC4)448,1198
Dic14.31(C2×C4) = C42.87D14φ: trivial image224Dic14.31(C2xC4)448,969
Dic14.32(C2×C4) = C2×D28.2C4φ: trivial image224Dic14.32(C2xC4)448,1191

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