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Extensions 1→N→G→Q→1 with N=C7⋊C8 and Q=C2×C4

Direct product G=N×Q with N=C7⋊C8 and Q=C2×C4
dρLabelID
C2×C4×C7⋊C8448C2xC4xC7:C8448,454

Semidirect products G=N:Q with N=C7⋊C8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C7⋊C8⋊1(C2×C4) = D4.D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:1(C2xC4)448,291
C7⋊C8⋊2(C2×C4) = D4⋊D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:2(C2xC4)448,319
C7⋊C8⋊3(C2×C4) = Q8⋊D7⋊C4φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:3(C2xC4)448,351
C7⋊C8⋊4(C2×C4) = C8⋊(C4×D7)φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:4(C2xC4)448,395
C7⋊C8⋊5(C2×C4) = C56⋊(C2×C4)φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:5(C2xC4)448,415
C7⋊C8⋊6(C2×C4) = C4.Dic7⋊C4φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:6(C2xC4)448,498
C7⋊C8⋊7(C2×C4) = C28.(C2×Q8)φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:7(C2xC4)448,529
C7⋊C8⋊8(C2×C4) = C42.48D14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:8(C2xC4)448,548
C7⋊C8⋊9(C2×C4) = C42.51D14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:9(C2xC4)448,552
C7⋊C8⋊10(C2×C4) = C42.56D14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8224C7:C8:10(C2xC4)448,560
C7⋊C8⋊11(C2×C4) = Dic7⋊4D8φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:11(C2xC4)448,290
C7⋊C8⋊12(C2×C4) = Dic7⋊6SD16φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:12(C2xC4)448,292
C7⋊C8⋊13(C2×C4) = Dic7⋊7SD16φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:13(C2xC4)448,322
C7⋊C8⋊14(C2×C4) = C4×D4⋊D7φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:14(C2xC4)448,547
C7⋊C8⋊15(C2×C4) = C4×D4.D7φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:15(C2xC4)448,551
C7⋊C8⋊16(C2×C4) = C4×Q8⋊D7φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:16(C2xC4)448,559
C7⋊C8⋊17(C2×C4) = C4×C8⋊D7φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:17(C2xC4)448,221
C7⋊C8⋊18(C2×C4) = Dic7.C42φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:18(C2xC4)448,241
C7⋊C8⋊19(C2×C4) = C4×C4.Dic7φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:19(C2xC4)448,456
C7⋊C8⋊20(C2×C4) = M4(2)×Dic7φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8:20(C2xC4)448,651
C7⋊C8⋊21(C2×C4) = D7×C4.Q8φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8:21(C2xC4)448,393
C7⋊C8⋊22(C2×C4) = D7×C2.D8φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8:22(C2xC4)448,413
C7⋊C8⋊23(C2×C4) = C2×C28.Q8φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8448C7:C8:23(C2xC4)448,496
C7⋊C8⋊24(C2×C4) = C2×C4.Dic14φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8448C7:C8:24(C2xC4)448,497
C7⋊C8⋊25(C2×C4) = D7×C8⋊C4φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8:25(C2xC4)448,238
C7⋊C8⋊26(C2×C4) = C2×C42.D7φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8448C7:C8:26(C2xC4)448,455
C7⋊C8⋊27(C2×C4) = C2×C56⋊C4φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8448C7:C8:27(C2xC4)448,634
C7⋊C8⋊28(C2×C4) = D7×C4×C8φ: trivial image224C7:C8:28(C2xC4)448,218
C7⋊C8⋊29(C2×C4) = C2×C8×Dic7φ: trivial image448C7:C8:29(C2xC4)448,632

Non-split extensions G=N.Q with N=C7⋊C8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C7⋊C8.1(C2×C4) = C7⋊Q16⋊C4φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8448C7:C8.1(C2xC4)448,323
C7⋊C8.2(C2×C4) = M4(2).22D14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C81124C7:C8.2(C2xC4)448,357
C7⋊C8.3(C2×C4) = M4(2).25D14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C81124C7:C8.3(C2xC4)448,427
C7⋊C8.4(C2×C4) = C42.59D14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C8448C7:C8.4(C2xC4)448,564
C7⋊C8.5(C2×C4) = C23.Dic14φ: C2×C4/C2 → C22 ⊆ Out C7⋊C81124C7:C8.5(C2xC4)448,658
C7⋊C8.6(C2×C4) = C56.50D4φ: C2×C4/C2 → C22 ⊆ Out C7⋊C81124C7:C8.6(C2xC4)448,679
C7⋊C8.7(C2×C4) = Dic7⋊4Q16φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8448C7:C8.7(C2xC4)448,324
C7⋊C8.8(C2×C4) = C42.196D14φ: C2×C4/C4 → C2 ⊆ Out C7⋊C81124C7:C8.8(C2xC4)448,358
C7⋊C8.9(C2×C4) = C4×C7⋊Q16φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8448C7:C8.9(C2xC4)448,563
C7⋊C8.10(C2×C4) = C56.93D4φ: C2×C4/C4 → C2 ⊆ Out C7⋊C81124C7:C8.10(C2xC4)448,678
C7⋊C8.11(C2×C4) = D14.C42φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8.11(C2xC4)448,223
C7⋊C8.12(C2×C4) = D14.4C42φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8.12(C2xC4)448,242
C7⋊C8.13(C2×C4) = D28.4C8φ: C2×C4/C4 → C2 ⊆ Out C7⋊C82242C7:C8.13(C2xC4)448,435
C7⋊C8.14(C2×C4) = C16.12D14φ: C2×C4/C4 → C2 ⊆ Out C7⋊C82244C7:C8.14(C2xC4)448,441
C7⋊C8.15(C2×C4) = C28.12C42φ: C2×C4/C4 → C2 ⊆ Out C7⋊C8224C7:C8.15(C2xC4)448,635
C7⋊C8.16(C2×C4) = (C8×D7)⋊C4φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.16(C2xC4)448,394
C7⋊C8.17(C2×C4) = C8.27(C4×D7)φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.17(C2xC4)448,414
C7⋊C8.18(C2×C4) = D7×C8.C4φ: C2×C4/C22 → C2 ⊆ Out C7⋊C81124C7:C8.18(C2xC4)448,426
C7⋊C8.19(C2×C4) = C28.45(C4⋊C4)φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.19(C2xC4)448,532
C7⋊C8.20(C2×C4) = C2×C28.53D4φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.20(C2xC4)448,657
C7⋊C8.21(C2×C4) = C2×C16⋊D7φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.21(C2xC4)448,434
C7⋊C8.22(C2×C4) = D7×M5(2)φ: C2×C4/C22 → C2 ⊆ Out C7⋊C81124C7:C8.22(C2xC4)448,440
C7⋊C8.23(C2×C4) = C28.5C42φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.23(C2xC4)448,531
C7⋊C8.24(C2×C4) = C28.7C42φ: C2×C4/C22 → C2 ⊆ Out C7⋊C8224C7:C8.24(C2xC4)448,656
C7⋊C8.25(C2×C4) = D7×C2×C16φ: trivial image224C7:C8.25(C2xC4)448,433

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