Extensions 1→N→G→Q→1 with N=C23 and Q=S3xC10

Direct product G=NxQ with N=C23 and Q=S3xC10
dρLabelID
S3xC23xC10240S3xC2^3xC10480,1211

Semidirect products G=N:Q with N=C23 and Q=S3xC10
extensionφ:Q→Aut NdρLabelID
C23:(S3xC10) = C2xC10xS4φ: S3xC10/C10S3 ⊆ Aut C2360C2^3:(S3xC10)480,1198
C23:2(S3xC10) = C5xC23:2D6φ: S3xC10/C15C22 ⊆ Aut C23120C2^3:2(S3xC10)480,816
C23:3(S3xC10) = C5xD4:6D6φ: S3xC10/C15C22 ⊆ Aut C231204C2^3:3(S3xC10)480,1156
C23:4(S3xC10) = S3xD4xC10φ: S3xC10/C5xS3C2 ⊆ Aut C23120C2^3:4(S3xC10)480,1154
C23:5(S3xC10) = C2xC10xC3:D4φ: S3xC10/C30C2 ⊆ Aut C23240C2^3:5(S3xC10)480,1164

Non-split extensions G=N.Q with N=C23 and Q=S3xC10
extensionφ:Q→Aut NdρLabelID
C23.1(S3xC10) = C5xA4:Q8φ: S3xC10/C10S3 ⊆ Aut C231206C2^3.1(S3xC10)480,1013
C23.2(S3xC10) = C20xS4φ: S3xC10/C10S3 ⊆ Aut C23603C2^3.2(S3xC10)480,1014
C23.3(S3xC10) = C5xC4:S4φ: S3xC10/C10S3 ⊆ Aut C23606C2^3.3(S3xC10)480,1015
C23.4(S3xC10) = C10xA4:C4φ: S3xC10/C10S3 ⊆ Aut C23120C2^3.4(S3xC10)480,1022
C23.5(S3xC10) = C5xA4:D4φ: S3xC10/C10S3 ⊆ Aut C23606C2^3.5(S3xC10)480,1023
C23.6(S3xC10) = C5xC23.6D6φ: S3xC10/C15C22 ⊆ Aut C231204C2^3.6(S3xC10)480,125
C23.7(S3xC10) = C5xC23.7D6φ: S3xC10/C15C22 ⊆ Aut C231204C2^3.7(S3xC10)480,153
C23.8(S3xC10) = C5xC23.8D6φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.8(S3xC10)480,758
C23.9(S3xC10) = C5xC23.9D6φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.9(S3xC10)480,762
C23.10(S3xC10) = C5xDic3:D4φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.10(S3xC10)480,763
C23.11(S3xC10) = C5xC23.11D6φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.11(S3xC10)480,764
C23.12(S3xC10) = C5xC23.12D6φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.12(S3xC10)480,815
C23.13(S3xC10) = C5xD6:3D4φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.13(S3xC10)480,817
C23.14(S3xC10) = C5xC23.14D6φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.14(S3xC10)480,818
C23.15(S3xC10) = C5xC12:3D4φ: S3xC10/C15C22 ⊆ Aut C23240C2^3.15(S3xC10)480,819
C23.16(S3xC10) = C5xC23.16D6φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.16(S3xC10)480,756
C23.17(S3xC10) = C5xDic3.D4φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.17(S3xC10)480,757
C23.18(S3xC10) = C5xS3xC22:C4φ: S3xC10/C5xS3C2 ⊆ Aut C23120C2^3.18(S3xC10)480,759
C23.19(S3xC10) = C5xDic3:4D4φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.19(S3xC10)480,760
C23.20(S3xC10) = C5xD6:D4φ: S3xC10/C5xS3C2 ⊆ Aut C23120C2^3.20(S3xC10)480,761
C23.21(S3xC10) = C5xC23.21D6φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.21(S3xC10)480,765
C23.22(S3xC10) = C5xD4xDic3φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.22(S3xC10)480,813
C23.23(S3xC10) = C5xC23.23D6φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.23(S3xC10)480,814
C23.24(S3xC10) = C10xD4:2S3φ: S3xC10/C5xS3C2 ⊆ Aut C23240C2^3.24(S3xC10)480,1155
C23.25(S3xC10) = C5xC12.48D4φ: S3xC10/C30C2 ⊆ Aut C23240C2^3.25(S3xC10)480,803
C23.26(S3xC10) = C5xC23.26D6φ: S3xC10/C30C2 ⊆ Aut C23240C2^3.26(S3xC10)480,805
C23.27(S3xC10) = C20xC3:D4φ: S3xC10/C30C2 ⊆ Aut C23240C2^3.27(S3xC10)480,807
C23.28(S3xC10) = C5xC23.28D6φ: S3xC10/C30C2 ⊆ Aut C23240C2^3.28(S3xC10)480,808
C23.29(S3xC10) = C5xC12:7D4φ: S3xC10/C30C2 ⊆ Aut C23240C2^3.29(S3xC10)480,809
C23.30(S3xC10) = C5xC24:4S3φ: S3xC10/C30C2 ⊆ Aut C23120C2^3.30(S3xC10)480,832
C23.31(S3xC10) = C10xC4oD12φ: S3xC10/C30C2 ⊆ Aut C23240C2^3.31(S3xC10)480,1153
C23.32(S3xC10) = C5xC6.C42central extension (φ=1)480C2^3.32(S3xC10)480,150
C23.33(S3xC10) = Dic3xC2xC20central extension (φ=1)480C2^3.33(S3xC10)480,801
C23.34(S3xC10) = C10xDic3:C4central extension (φ=1)480C2^3.34(S3xC10)480,802
C23.35(S3xC10) = C10xC4:Dic3central extension (φ=1)480C2^3.35(S3xC10)480,804
C23.36(S3xC10) = C10xD6:C4central extension (φ=1)240C2^3.36(S3xC10)480,806
C23.37(S3xC10) = C10xC6.D4central extension (φ=1)240C2^3.37(S3xC10)480,831
C23.38(S3xC10) = C2xC10xDic6central extension (φ=1)480C2^3.38(S3xC10)480,1150
C23.39(S3xC10) = S3xC22xC20central extension (φ=1)240C2^3.39(S3xC10)480,1151
C23.40(S3xC10) = C2xC10xD12central extension (φ=1)240C2^3.40(S3xC10)480,1152
C23.41(S3xC10) = Dic3xC22xC10central extension (φ=1)480C2^3.41(S3xC10)480,1163

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