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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=C2×C4

Direct product G=N×Q with N=C3⋊C8 and Q=C2×C4
dρLabelID
C2×C4×C3⋊C8192C2xC4xC3:C8192,479

Semidirect products G=N:Q with N=C3⋊C8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C3⋊C8⋊1(C2×C4) = D4.S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:1(C2xC4)192,316
C3⋊C8⋊2(C2×C4) = D4⋊S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:2(C2xC4)192,344
C3⋊C8⋊3(C2×C4) = Q8⋊3(C4×S3)φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:3(C2xC4)192,376
C3⋊C8⋊4(C2×C4) = C8⋊(C4×S3)φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:4(C2xC4)192,420
C3⋊C8⋊5(C2×C4) = C8⋊S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:5(C2xC4)192,440
C3⋊C8⋊6(C2×C4) = C4⋊C4.225D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:6(C2xC4)192,523
C3⋊C8⋊7(C2×C4) = C4⋊C4.232D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:7(C2xC4)192,554
C3⋊C8⋊8(C2×C4) = C42.48D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:8(C2xC4)192,573
C3⋊C8⋊9(C2×C4) = C42.51D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:9(C2xC4)192,577
C3⋊C8⋊10(C2×C4) = C42.56D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C896C3:C8:10(C2xC4)192,585
C3⋊C8⋊11(C2×C4) = Dic3⋊4D8φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:11(C2xC4)192,315
C3⋊C8⋊12(C2×C4) = Dic3⋊6SD16φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:12(C2xC4)192,317
C3⋊C8⋊13(C2×C4) = Dic3⋊7SD16φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:13(C2xC4)192,347
C3⋊C8⋊14(C2×C4) = C4×D4⋊S3φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:14(C2xC4)192,572
C3⋊C8⋊15(C2×C4) = C4×D4.S3φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:15(C2xC4)192,576
C3⋊C8⋊16(C2×C4) = C4×Q8⋊2S3φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:16(C2xC4)192,584
C3⋊C8⋊17(C2×C4) = C4×C8⋊S3φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:17(C2xC4)192,246
C3⋊C8⋊18(C2×C4) = Dic3⋊5M4(2)φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:18(C2xC4)192,266
C3⋊C8⋊19(C2×C4) = C4×C4.Dic3φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:19(C2xC4)192,481
C3⋊C8⋊20(C2×C4) = Dic3×M4(2)φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8:20(C2xC4)192,676
C3⋊C8⋊21(C2×C4) = S3×C4.Q8φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8:21(C2xC4)192,418
C3⋊C8⋊22(C2×C4) = S3×C2.D8φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8:22(C2xC4)192,438
C3⋊C8⋊23(C2×C4) = C2×C6.Q16φ: C2×C4/C22 → C2 ⊆ Out C3⋊C8192C3:C8:23(C2xC4)192,521
C3⋊C8⋊24(C2×C4) = C2×C12.Q8φ: C2×C4/C22 → C2 ⊆ Out C3⋊C8192C3:C8:24(C2xC4)192,522
C3⋊C8⋊25(C2×C4) = S3×C8⋊C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8:25(C2xC4)192,263
C3⋊C8⋊26(C2×C4) = C2×C42.S3φ: C2×C4/C22 → C2 ⊆ Out C3⋊C8192C3:C8:26(C2xC4)192,480
C3⋊C8⋊27(C2×C4) = C2×C24⋊C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊C8192C3:C8:27(C2xC4)192,659
C3⋊C8⋊28(C2×C4) = S3×C4×C8φ: trivial image96C3:C8:28(C2xC4)192,243
C3⋊C8⋊29(C2×C4) = Dic3×C2×C8φ: trivial image192C3:C8:29(C2xC4)192,657

Non-split extensions G=N.Q with N=C3⋊C8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C3⋊C8.1(C2×C4) = C3⋊Q16⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊C8192C3:C8.1(C2xC4)192,348
C3⋊C8.2(C2×C4) = M4(2).22D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C8484C3:C8.2(C2xC4)192,382
C3⋊C8.3(C2×C4) = M4(2).25D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C8484C3:C8.3(C2xC4)192,452
C3⋊C8.4(C2×C4) = C42.59D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C8192C3:C8.4(C2xC4)192,589
C3⋊C8.5(C2×C4) = C23.8Dic6φ: C2×C4/C2 → C22 ⊆ Out C3⋊C8484C3:C8.5(C2xC4)192,683
C3⋊C8.6(C2×C4) = C24.54D4φ: C2×C4/C2 → C22 ⊆ Out C3⋊C8484C3:C8.6(C2xC4)192,704
C3⋊C8.7(C2×C4) = Dic3⋊4Q16φ: C2×C4/C4 → C2 ⊆ Out C3⋊C8192C3:C8.7(C2xC4)192,349
C3⋊C8.8(C2×C4) = C42.196D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊C8484C3:C8.8(C2xC4)192,383
C3⋊C8.9(C2×C4) = C4×C3⋊Q16φ: C2×C4/C4 → C2 ⊆ Out C3⋊C8192C3:C8.9(C2xC4)192,588
C3⋊C8.10(C2×C4) = C24.100D4φ: C2×C4/C4 → C2 ⊆ Out C3⋊C8484C3:C8.10(C2xC4)192,703
C3⋊C8.11(C2×C4) = D6.C42φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8.11(C2xC4)192,248
C3⋊C8.12(C2×C4) = D6.4C42φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8.12(C2xC4)192,267
C3⋊C8.13(C2×C4) = D12.4C8φ: C2×C4/C4 → C2 ⊆ Out C3⋊C8962C3:C8.13(C2xC4)192,460
C3⋊C8.14(C2×C4) = C16.12D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊C8964C3:C8.14(C2xC4)192,466
C3⋊C8.15(C2×C4) = C12.12C42φ: C2×C4/C4 → C2 ⊆ Out C3⋊C896C3:C8.15(C2xC4)192,660
C3⋊C8.16(C2×C4) = (S3×C8)⋊C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.16(C2xC4)192,419
C3⋊C8.17(C2×C4) = C8.27(C4×S3)φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.17(C2xC4)192,439
C3⋊C8.18(C2×C4) = S3×C8.C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊C8484C3:C8.18(C2xC4)192,451
C3⋊C8.19(C2×C4) = C4⋊C4.234D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.19(C2xC4)192,557
C3⋊C8.20(C2×C4) = C2×C12.53D4φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.20(C2xC4)192,682
C3⋊C8.21(C2×C4) = C2×D6.C8φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.21(C2xC4)192,459
C3⋊C8.22(C2×C4) = S3×M5(2)φ: C2×C4/C22 → C2 ⊆ Out C3⋊C8484C3:C8.22(C2xC4)192,465
C3⋊C8.23(C2×C4) = C12.5C42φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.23(C2xC4)192,556
C3⋊C8.24(C2×C4) = C12.7C42φ: C2×C4/C22 → C2 ⊆ Out C3⋊C896C3:C8.24(C2xC4)192,681
C3⋊C8.25(C2×C4) = S3×C2×C16φ: trivial image96C3:C8.25(C2xC4)192,458

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