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Extensions 1→N→G→Q→1 with N=D28 and Q=C2×C4

Direct product G=N×Q with N=D28 and Q=C2×C4
dρLabelID
C2×C4×D28224C2xC4xD28448,926

Semidirect products G=N:Q with N=D28 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D28⋊1(C2×C4) = Dic7⋊4D8φ: C2×C4/C2 → C22 ⊆ Out D28224D28:1(C2xC4)448,290
D28⋊2(C2×C4) = D7×D4⋊C4φ: C2×C4/C2 → C22 ⊆ Out D28112D28:2(C2xC4)448,303
D28⋊3(C2×C4) = D4⋊D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out D28224D28:3(C2xC4)448,319
D28⋊4(C2×C4) = Q8⋊(C4×D7)φ: C2×C4/C2 → C22 ⊆ Out D28224D28:4(C2xC4)448,337
D28⋊5(C2×C4) = D7×C4≀C2φ: C2×C4/C2 → C22 ⊆ Out D28564D28:5(C2xC4)448,354
D28⋊6(C2×C4) = D56⋊9C4φ: C2×C4/C2 → C22 ⊆ Out D28224D28:6(C2xC4)448,403
D28⋊7(C2×C4) = Dic7⋊5D8φ: C2×C4/C2 → C22 ⊆ Out D28224D28:7(C2xC4)448,406
D28⋊8(C2×C4) = C4×D56φ: C2×C4/C4 → C2 ⊆ Out D28224D28:8(C2xC4)448,226
D28⋊9(C2×C4) = D56⋊C4φ: C2×C4/C4 → C2 ⊆ Out D28224D28:9(C2xC4)448,245
D28⋊10(C2×C4) = C4×D4⋊D7φ: C2×C4/C4 → C2 ⊆ Out D28224D28:10(C2xC4)448,547
D28⋊11(C2×C4) = C42.48D14φ: C2×C4/C4 → C2 ⊆ Out D28224D28:11(C2xC4)448,548
D28⋊12(C2×C4) = C4×D4×D7φ: C2×C4/C4 → C2 ⊆ Out D28112D28:12(C2xC4)448,997
D28⋊13(C2×C4) = C42⋊11D14φ: C2×C4/C4 → C2 ⊆ Out D28112D28:13(C2xC4)448,998
D28⋊14(C2×C4) = C4×Q8⋊2D7φ: C2×C4/C4 → C2 ⊆ Out D28224D28:14(C2xC4)448,1026
D28⋊15(C2×C4) = C42.126D14φ: C2×C4/C4 → C2 ⊆ Out D28224D28:15(C2xC4)448,1027
D28⋊16(C2×C4) = C2×Dic14⋊C4φ: C2×C4/C22 → C2 ⊆ Out D28112D28:16(C2xC4)448,461
D28⋊17(C2×C4) = C2×C2.D56φ: C2×C4/C22 → C2 ⊆ Out D28224D28:17(C2xC4)448,646
D28⋊18(C2×C4) = C23.49D28φ: C2×C4/C22 → C2 ⊆ Out D28224D28:18(C2xC4)448,667
D28⋊19(C2×C4) = C2×C14.D8φ: C2×C4/C22 → C2 ⊆ Out D28224D28:19(C2xC4)448,499
D28⋊20(C2×C4) = C4○D28⋊C4φ: C2×C4/C22 → C2 ⊆ Out D28224D28:20(C2xC4)448,500
D28⋊21(C2×C4) = C2×D28⋊4C4φ: C2×C4/C22 → C2 ⊆ Out D28112D28:21(C2xC4)448,672
D28⋊22(C2×C4) = C2×D28⋊C4φ: C2×C4/C22 → C2 ⊆ Out D28224D28:22(C2xC4)448,956
D28⋊23(C2×C4) = C14.82+ 1+4φ: C2×C4/C22 → C2 ⊆ Out D28224D28:23(C2xC4)448,957
D28⋊24(C2×C4) = C42.188D14φ: C2×C4/C22 → C2 ⊆ Out D28224D28:24(C2xC4)448,975
D28⋊25(C2×C4) = C4×C4○D28φ: trivial image224D28:25(C2xC4)448,927
D28⋊26(C2×C4) = C42⋊7D14φ: trivial image112D28:26(C2xC4)448,974
D28⋊27(C2×C4) = C42.91D14φ: trivial image224D28:27(C2xC4)448,976

Non-split extensions G=N.Q with N=D28 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D28.1(C2×C4) = (D4×D7)⋊C4φ: C2×C4/C2 → C22 ⊆ Out D28112D28.1(C2xC4)448,304
D28.2(C2×C4) = Dic7⋊7SD16φ: C2×C4/C2 → C22 ⊆ Out D28224D28.2(C2xC4)448,322
D28.3(C2×C4) = Q8⋊2D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out D28224D28.3(C2xC4)448,338
D28.4(C2×C4) = Q8⋊D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out D28224D28.4(C2xC4)448,351
D28.5(C2×C4) = C42⋊D14φ: C2×C4/C2 → C22 ⊆ Out D281124D28.5(C2xC4)448,355
D28.6(C2×C4) = M4(2).22D14φ: C2×C4/C2 → C22 ⊆ Out D281124D28.6(C2xC4)448,357
D28.7(C2×C4) = C42.196D14φ: C2×C4/C2 → C22 ⊆ Out D281124D28.7(C2xC4)448,358
D28.8(C2×C4) = Dic7⋊8SD16φ: C2×C4/C2 → C22 ⊆ Out D28224D28.8(C2xC4)448,386
D28.9(C2×C4) = C56⋊C2⋊C4φ: C2×C4/C2 → C22 ⊆ Out D28224D28.9(C2xC4)448,423
D28.10(C2×C4) = D56⋊10C4φ: C2×C4/C2 → C22 ⊆ Out D281124D28.10(C2xC4)448,428
D28.11(C2×C4) = D56⋊7C4φ: C2×C4/C2 → C22 ⊆ Out D281124D28.11(C2xC4)448,429
D28.12(C2×C4) = C4×C56⋊C2φ: C2×C4/C4 → C2 ⊆ Out D28224D28.12(C2xC4)448,225
D28.13(C2×C4) = D56⋊11C4φ: C2×C4/C4 → C2 ⊆ Out D281122D28.13(C2xC4)448,234
D28.14(C2×C4) = C42.16D14φ: C2×C4/C4 → C2 ⊆ Out D28224D28.14(C2xC4)448,244
D28.15(C2×C4) = D56⋊4C4φ: C2×C4/C4 → C2 ⊆ Out D281124D28.15(C2xC4)448,251
D28.16(C2×C4) = C4×Q8⋊D7φ: C2×C4/C4 → C2 ⊆ Out D28224D28.16(C2xC4)448,559
D28.17(C2×C4) = C42.56D14φ: C2×C4/C4 → C2 ⊆ Out D28224D28.17(C2xC4)448,560
D28.18(C2×C4) = C56.93D4φ: C2×C4/C4 → C2 ⊆ Out D281124D28.18(C2xC4)448,678
D28.19(C2×C4) = C56.50D4φ: C2×C4/C4 → C2 ⊆ Out D281124D28.19(C2xC4)448,679
D28.20(C2×C4) = D7×C8○D4φ: C2×C4/C4 → C2 ⊆ Out D281124D28.20(C2xC4)448,1202
D28.21(C2×C4) = C56.49C23φ: C2×C4/C4 → C2 ⊆ Out D281124D28.21(C2xC4)448,1203
D28.22(C2×C4) = C42⋊4D14φ: C2×C4/C22 → C2 ⊆ Out D281124D28.22(C2xC4)448,539
D28.23(C2×C4) = C23.23D28φ: C2×C4/C22 → C2 ⊆ Out D28224D28.23(C2xC4)448,647
D28.24(C2×C4) = C23.48D28φ: C2×C4/C22 → C2 ⊆ Out D28112D28.24(C2xC4)448,665
D28.25(C2×C4) = C4⋊C4⋊36D14φ: C2×C4/C22 → C2 ⊆ Out D28112D28.25(C2xC4)448,535
D28.26(C2×C4) = C4.(C2×D28)φ: C2×C4/C22 → C2 ⊆ Out D28224D28.26(C2xC4)448,536
D28.27(C2×C4) = C23.20D28φ: C2×C4/C22 → C2 ⊆ Out D281124D28.27(C2xC4)448,673
D28.28(C2×C4) = C2×D28.C4φ: C2×C4/C22 → C2 ⊆ Out D28224D28.28(C2xC4)448,1197
D28.29(C2×C4) = C28.70C24φ: C2×C4/C22 → C2 ⊆ Out D281124D28.29(C2xC4)448,1198
D28.30(C2×C4) = C2×D28.2C4φ: trivial image224D28.30(C2xC4)448,1191

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