Extensions 1→N→G→Q→1 with N=C10 and Q=S3xQ8

Direct product G=NxQ with N=C10 and Q=S3xQ8
dρLabelID
S3xQ8xC10240S3xQ8xC10480,1157

Semidirect products G=N:Q with N=C10 and Q=S3xQ8
extensionφ:Q→Aut NdρLabelID
C10:1(S3xQ8) = C2xD15:Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10:1(S3xQ8)480,1082
C10:2(S3xQ8) = C2xS3xDic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10:2(S3xQ8)480,1078
C10:3(S3xQ8) = C2xQ8xD15φ: S3xQ8/C3xQ8C2 ⊆ Aut C10240C10:3(S3xQ8)480,1172

Non-split extensions G=N.Q with N=C10 and Q=S3xQ8
extensionφ:Q→Aut NdρLabelID
C10.1(S3xQ8) = Dic15:5Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.1(S3xQ8)480,401
C10.2(S3xQ8) = Dic15:Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.2(S3xQ8)480,405
C10.3(S3xQ8) = Dic15:6Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.3(S3xQ8)480,407
C10.4(S3xQ8) = Dic15.Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.4(S3xQ8)480,412
C10.5(S3xQ8) = Dic15.2Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.5(S3xQ8)480,415
C10.6(S3xQ8) = Dic15:7Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.6(S3xQ8)480,420
C10.7(S3xQ8) = D30:8Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.7(S3xQ8)480,453
C10.8(S3xQ8) = Dic15.4Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.8(S3xQ8)480,458
C10.9(S3xQ8) = D30:9Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.9(S3xQ8)480,459
C10.10(S3xQ8) = Dic15:8Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.10(S3xQ8)480,461
C10.11(S3xQ8) = D30:10Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.11(S3xQ8)480,466
C10.12(S3xQ8) = D30.Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.12(S3xQ8)480,480
C10.13(S3xQ8) = D30:Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.13(S3xQ8)480,487
C10.14(S3xQ8) = D30:2Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.14(S3xQ8)480,495
C10.15(S3xQ8) = D30:3Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.15(S3xQ8)480,500
C10.16(S3xQ8) = D30:4Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.16(S3xQ8)480,505
C10.17(S3xQ8) = D30.2Q8φ: S3xQ8/Dic6C2 ⊆ Aut C10240C10.17(S3xQ8)480,513
C10.18(S3xQ8) = C20:Dic6φ: S3xQ8/Dic6C2 ⊆ Aut C10480C10.18(S3xQ8)480,546
C10.19(S3xQ8) = Dic3:5Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.19(S3xQ8)480,400
C10.20(S3xQ8) = Dic15:1Q8φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.20(S3xQ8)480,403
C10.21(S3xQ8) = Dic3:Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.21(S3xQ8)480,404
C10.22(S3xQ8) = Dic3xDic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.22(S3xQ8)480,406
C10.23(S3xQ8) = Dic30:14C4φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.23(S3xQ8)480,416
C10.24(S3xQ8) = Dic3.Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.24(S3xQ8)480,419
C10.25(S3xQ8) = Dic3.2Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.25(S3xQ8)480,422
C10.26(S3xQ8) = D6:Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.26(S3xQ8)480,428
C10.27(S3xQ8) = C60.45D4φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.27(S3xQ8)480,441
C10.28(S3xQ8) = C60.46D4φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.28(S3xQ8)480,445
C10.29(S3xQ8) = Dic3.3Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.29(S3xQ8)480,455
C10.30(S3xQ8) = C60.48D4φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.30(S3xQ8)480,465
C10.31(S3xQ8) = S3xC10.D4φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.31(S3xQ8)480,475
C10.32(S3xQ8) = D6:1Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.32(S3xQ8)480,486
C10.33(S3xQ8) = D6:2Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.33(S3xQ8)480,493
C10.34(S3xQ8) = S3xC4:Dic5φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.34(S3xQ8)480,502
C10.35(S3xQ8) = D6:3Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.35(S3xQ8)480,508
C10.36(S3xQ8) = D6:4Dic10φ: S3xQ8/C4xS3C2 ⊆ Aut C10240C10.36(S3xQ8)480,512
C10.37(S3xQ8) = C20:4Dic6φ: S3xQ8/C4xS3C2 ⊆ Aut C10480C10.37(S3xQ8)480,545
C10.38(S3xQ8) = Dic15:10Q8φ: S3xQ8/C3xQ8C2 ⊆ Aut C10480C10.38(S3xQ8)480,852
C10.39(S3xQ8) = C4:Dic30φ: S3xQ8/C3xQ8C2 ⊆ Aut C10480C10.39(S3xQ8)480,853
C10.40(S3xQ8) = Dic15.3Q8φ: S3xQ8/C3xQ8C2 ⊆ Aut C10480C10.40(S3xQ8)480,854
C10.41(S3xQ8) = C4:C4xD15φ: S3xQ8/C3xQ8C2 ⊆ Aut C10240C10.41(S3xQ8)480,856
C10.42(S3xQ8) = D30:5Q8φ: S3xQ8/C3xQ8C2 ⊆ Aut C10240C10.42(S3xQ8)480,861
C10.43(S3xQ8) = D30:6Q8φ: S3xQ8/C3xQ8C2 ⊆ Aut C10240C10.43(S3xQ8)480,862
C10.44(S3xQ8) = Dic15:4Q8φ: S3xQ8/C3xQ8C2 ⊆ Aut C10480C10.44(S3xQ8)480,909
C10.45(S3xQ8) = Q8xDic15φ: S3xQ8/C3xQ8C2 ⊆ Aut C10480C10.45(S3xQ8)480,910
C10.46(S3xQ8) = D30:7Q8φ: S3xQ8/C3xQ8C2 ⊆ Aut C10240C10.46(S3xQ8)480,911
C10.47(S3xQ8) = C5xDic6:C4central extension (φ=1)480C10.47(S3xQ8)480,766
C10.48(S3xQ8) = C5xC12:Q8central extension (φ=1)480C10.48(S3xQ8)480,767
C10.49(S3xQ8) = C5xDic3.Q8central extension (φ=1)480C10.49(S3xQ8)480,768
C10.50(S3xQ8) = C5xS3xC4:C4central extension (φ=1)240C10.50(S3xQ8)480,770
C10.51(S3xQ8) = C5xD6:Q8central extension (φ=1)240C10.51(S3xQ8)480,775
C10.52(S3xQ8) = C5xC4.D12central extension (φ=1)240C10.52(S3xQ8)480,776
C10.53(S3xQ8) = C5xDic3:Q8central extension (φ=1)480C10.53(S3xQ8)480,823
C10.54(S3xQ8) = C5xQ8xDic3central extension (φ=1)480C10.54(S3xQ8)480,824
C10.55(S3xQ8) = C5xD6:3Q8central extension (φ=1)240C10.55(S3xQ8)480,825

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