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Extensions 1→N→G→Q→1 with N=C10 and Q=S3×Q8

Direct product G=N×Q with N=C10 and Q=S3×Q8
dρLabelID
S3×Q8×C10240S3xQ8xC10480,1157

Semidirect products G=N:Q with N=C10 and Q=S3×Q8
extensionφ:Q→Aut NdρLabelID
C10⋊1(S3×Q8) = C2×D15⋊Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10:1(S3xQ8)480,1082
C10⋊2(S3×Q8) = C2×S3×Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10:2(S3xQ8)480,1078
C10⋊3(S3×Q8) = C2×Q8×D15φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10240C10:3(S3xQ8)480,1172

Non-split extensions G=N.Q with N=C10 and Q=S3×Q8
extensionφ:Q→Aut NdρLabelID
C10.1(S3×Q8) = Dic15⋊5Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.1(S3xQ8)480,401
C10.2(S3×Q8) = Dic15⋊Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.2(S3xQ8)480,405
C10.3(S3×Q8) = Dic15⋊6Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.3(S3xQ8)480,407
C10.4(S3×Q8) = Dic15.Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.4(S3xQ8)480,412
C10.5(S3×Q8) = Dic15.2Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.5(S3xQ8)480,415
C10.6(S3×Q8) = Dic15⋊7Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.6(S3xQ8)480,420
C10.7(S3×Q8) = D30⋊8Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.7(S3xQ8)480,453
C10.8(S3×Q8) = Dic15.4Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.8(S3xQ8)480,458
C10.9(S3×Q8) = D30⋊9Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.9(S3xQ8)480,459
C10.10(S3×Q8) = Dic15⋊8Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.10(S3xQ8)480,461
C10.11(S3×Q8) = D30⋊10Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.11(S3xQ8)480,466
C10.12(S3×Q8) = D30.Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.12(S3xQ8)480,480
C10.13(S3×Q8) = D30⋊Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.13(S3xQ8)480,487
C10.14(S3×Q8) = D30⋊2Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.14(S3xQ8)480,495
C10.15(S3×Q8) = D30⋊3Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.15(S3xQ8)480,500
C10.16(S3×Q8) = D30⋊4Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.16(S3xQ8)480,505
C10.17(S3×Q8) = D30.2Q8φ: S3×Q8/Dic6 → C2 ⊆ Aut C10240C10.17(S3xQ8)480,513
C10.18(S3×Q8) = C20⋊Dic6φ: S3×Q8/Dic6 → C2 ⊆ Aut C10480C10.18(S3xQ8)480,546
C10.19(S3×Q8) = Dic3⋊5Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.19(S3xQ8)480,400
C10.20(S3×Q8) = Dic15⋊1Q8φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.20(S3xQ8)480,403
C10.21(S3×Q8) = Dic3⋊Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.21(S3xQ8)480,404
C10.22(S3×Q8) = Dic3×Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.22(S3xQ8)480,406
C10.23(S3×Q8) = Dic30⋊14C4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.23(S3xQ8)480,416
C10.24(S3×Q8) = Dic3.Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.24(S3xQ8)480,419
C10.25(S3×Q8) = Dic3.2Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.25(S3xQ8)480,422
C10.26(S3×Q8) = D6⋊Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.26(S3xQ8)480,428
C10.27(S3×Q8) = C60.45D4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.27(S3xQ8)480,441
C10.28(S3×Q8) = C60.46D4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.28(S3xQ8)480,445
C10.29(S3×Q8) = Dic3.3Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.29(S3xQ8)480,455
C10.30(S3×Q8) = C60.48D4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.30(S3xQ8)480,465
C10.31(S3×Q8) = S3×C10.D4φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.31(S3xQ8)480,475
C10.32(S3×Q8) = D6⋊1Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.32(S3xQ8)480,486
C10.33(S3×Q8) = D6⋊2Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.33(S3xQ8)480,493
C10.34(S3×Q8) = S3×C4⋊Dic5φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.34(S3xQ8)480,502
C10.35(S3×Q8) = D6⋊3Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.35(S3xQ8)480,508
C10.36(S3×Q8) = D6⋊4Dic10φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10240C10.36(S3xQ8)480,512
C10.37(S3×Q8) = C20⋊4Dic6φ: S3×Q8/C4×S3 → C2 ⊆ Aut C10480C10.37(S3xQ8)480,545
C10.38(S3×Q8) = Dic15⋊10Q8φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.38(S3xQ8)480,852
C10.39(S3×Q8) = C4⋊Dic30φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.39(S3xQ8)480,853
C10.40(S3×Q8) = Dic15.3Q8φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.40(S3xQ8)480,854
C10.41(S3×Q8) = C4⋊C4×D15φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.41(S3xQ8)480,856
C10.42(S3×Q8) = D30⋊5Q8φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.42(S3xQ8)480,861
C10.43(S3×Q8) = D30⋊6Q8φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.43(S3xQ8)480,862
C10.44(S3×Q8) = Dic15⋊4Q8φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.44(S3xQ8)480,909
C10.45(S3×Q8) = Q8×Dic15φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.45(S3xQ8)480,910
C10.46(S3×Q8) = D30⋊7Q8φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.46(S3xQ8)480,911
C10.47(S3×Q8) = C5×Dic6⋊C4central extension (φ=1)480C10.47(S3xQ8)480,766
C10.48(S3×Q8) = C5×C12⋊Q8central extension (φ=1)480C10.48(S3xQ8)480,767
C10.49(S3×Q8) = C5×Dic3.Q8central extension (φ=1)480C10.49(S3xQ8)480,768
C10.50(S3×Q8) = C5×S3×C4⋊C4central extension (φ=1)240C10.50(S3xQ8)480,770
C10.51(S3×Q8) = C5×D6⋊Q8central extension (φ=1)240C10.51(S3xQ8)480,775
C10.52(S3×Q8) = C5×C4.D12central extension (φ=1)240C10.52(S3xQ8)480,776
C10.53(S3×Q8) = C5×Dic3⋊Q8central extension (φ=1)480C10.53(S3xQ8)480,823
C10.54(S3×Q8) = C5×Q8×Dic3central extension (φ=1)480C10.54(S3xQ8)480,824
C10.55(S3×Q8) = C5×D6⋊3Q8central extension (φ=1)240C10.55(S3xQ8)480,825

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