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Extensions 1→N→G→Q→1 with N=C10 and Q=C22xDic3

Direct product G=NxQ with N=C10 and Q=C22xDic3
dρLabelID
Dic3xC22xC10480Dic3xC2^2xC10480,1163

Semidirect products G=N:Q with N=C10 and Q=C22xDic3
extensionφ:Q→Aut NdρLabelID
C10:(C22xDic3) = C23xC3:F5φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10120C10:(C2^2xDic3)480,1206
C10:2(C22xDic3) = C22xD5xDic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10:2(C2^2xDic3)480,1112
C10:3(C22xDic3) = C23xDic15φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10480C10:3(C2^2xDic3)480,1178

Non-split extensions G=N.Q with N=C10 and Q=C22xDic3
extensionφ:Q→Aut NdρLabelID
C10.1(C22xDic3) = C2xC60.C4φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10240C10.1(C2^2xDic3)480,1060
C10.2(C22xDic3) = C2xC12.F5φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10240C10.2(C2^2xDic3)480,1061
C10.3(C22xDic3) = C60.59(C2xC4)φ: C22xDic3/C2xC6 → C4 ⊆ Aut C101204C10.3(C2^2xDic3)480,1062
C10.4(C22xDic3) = C2xC4xC3:F5φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10120C10.4(C2^2xDic3)480,1063
C10.5(C22xDic3) = C2xC60:C4φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10120C10.5(C2^2xDic3)480,1064
C10.6(C22xDic3) = (C2xC12):6F5φ: C22xDic3/C2xC6 → C4 ⊆ Aut C101204C10.6(C2^2xDic3)480,1065
C10.7(C22xDic3) = Dic10.Dic3φ: C22xDic3/C2xC6 → C4 ⊆ Aut C102408C10.7(C2^2xDic3)480,1066
C10.8(C22xDic3) = D4xC3:F5φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10608C10.8(C2^2xDic3)480,1067
C10.9(C22xDic3) = D20.Dic3φ: C22xDic3/C2xC6 → C4 ⊆ Aut C102408C10.9(C2^2xDic3)480,1068
C10.10(C22xDic3) = Q8xC3:F5φ: C22xDic3/C2xC6 → C4 ⊆ Aut C101208C10.10(C2^2xDic3)480,1069
C10.11(C22xDic3) = C22xC15:C8φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10480C10.11(C2^2xDic3)480,1070
C10.12(C22xDic3) = C2xC15:8M4(2)φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10240C10.12(C2^2xDic3)480,1071
C10.13(C22xDic3) = C2xD10.D6φ: C22xDic3/C2xC6 → C4 ⊆ Aut C10120C10.13(C2^2xDic3)480,1072
C10.14(C22xDic3) = C2xD5xC3:C8φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.14(C2^2xDic3)480,357
C10.15(C22xDic3) = D5xC4.Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C101204C10.15(C2^2xDic3)480,358
C10.16(C22xDic3) = D20.3Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C102404C10.16(C2^2xDic3)480,359
C10.17(C22xDic3) = D20.2Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C102404C10.17(C2^2xDic3)480,360
C10.18(C22xDic3) = C2xC20.32D6φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.18(C2^2xDic3)480,369
C10.19(C22xDic3) = Dic3xDic10φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10480C10.19(C2^2xDic3)480,406
C10.20(C22xDic3) = Dic15:6Q8φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10480C10.20(C2^2xDic3)480,407
C10.21(C22xDic3) = (D5xC12):C4φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.21(C2^2xDic3)480,433
C10.22(C22xDic3) = (C4xD5):Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.22(C2^2xDic3)480,434
C10.23(C22xDic3) = C4xD5xDic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.23(C2^2xDic3)480,467
C10.24(C22xDic3) = D5xC4:Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.24(C2^2xDic3)480,488
C10.25(C22xDic3) = Dic3xD20φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.25(C2^2xDic3)480,501
C10.26(C22xDic3) = D20:8Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.26(C2^2xDic3)480,510
C10.27(C22xDic3) = C2xDic3xDic5φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10480C10.27(C2^2xDic3)480,603
C10.28(C22xDic3) = (C6xDic5):7C4φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.28(C2^2xDic3)480,604
C10.29(C22xDic3) = C2xD10:Dic3φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.29(C2^2xDic3)480,611
C10.30(C22xDic3) = C2xC30.Q8φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10480C10.30(C2^2xDic3)480,617
C10.31(C22xDic3) = D5xC6.D4φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10120C10.31(C2^2xDic3)480,623
C10.32(C22xDic3) = Dic3xC5:D4φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.32(C2^2xDic3)480,629
C10.33(C22xDic3) = Dic15:16D4φ: C22xDic3/C2xDic3 → C2 ⊆ Aut C10240C10.33(C2^2xDic3)480,635
C10.34(C22xDic3) = C22xC15:3C8φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10480C10.34(C2^2xDic3)480,885
C10.35(C22xDic3) = C2xC60.7C4φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10240C10.35(C2^2xDic3)480,886
C10.36(C22xDic3) = C2xC4xDic15φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10480C10.36(C2^2xDic3)480,887
C10.37(C22xDic3) = C2xC60:5C4φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10480C10.37(C2^2xDic3)480,890
C10.38(C22xDic3) = C23.26D30φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10240C10.38(C2^2xDic3)480,891
C10.39(C22xDic3) = D4xDic15φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10240C10.39(C2^2xDic3)480,899
C10.40(C22xDic3) = Q8xDic15φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10480C10.40(C2^2xDic3)480,910
C10.41(C22xDic3) = D4.Dic15φ: C22xDic3/C22xC6 → C2 ⊆ Aut C102404C10.41(C2^2xDic3)480,913
C10.42(C22xDic3) = C2xC30.38D4φ: C22xDic3/C22xC6 → C2 ⊆ Aut C10240C10.42(C2^2xDic3)480,917
C10.43(C22xDic3) = C2xC10xC3:C8central extension (φ=1)480C10.43(C2^2xDic3)480,799
C10.44(C22xDic3) = C10xC4.Dic3central extension (φ=1)240C10.44(C2^2xDic3)480,800
C10.45(C22xDic3) = Dic3xC2xC20central extension (φ=1)480C10.45(C2^2xDic3)480,801
C10.46(C22xDic3) = C10xC4:Dic3central extension (φ=1)480C10.46(C2^2xDic3)480,804
C10.47(C22xDic3) = C5xC23.26D6central extension (φ=1)240C10.47(C2^2xDic3)480,805
C10.48(C22xDic3) = C5xD4xDic3central extension (φ=1)240C10.48(C2^2xDic3)480,813
C10.49(C22xDic3) = C5xQ8xDic3central extension (φ=1)480C10.49(C2^2xDic3)480,824
C10.50(C22xDic3) = C5xD4.Dic3central extension (φ=1)2404C10.50(C2^2xDic3)480,827
C10.51(C22xDic3) = C10xC6.D4central extension (φ=1)240C10.51(C2^2xDic3)480,831

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