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Extensions 1→N→G→Q→1 with N=C22 and Q=C5xC3:D4

Direct product G=NxQ with N=C22 and Q=C5xC3:D4
dρLabelID
C2xC10xC3:D4240C2xC10xC3:D4480,1164

Semidirect products G=N:Q with N=C22 and Q=C5xC3:D4
extensionφ:Q→Aut NdρLabelID
C22:(C5xC3:D4) = C5xA4:D4φ: C5xC3:D4/C2xC10 → S3 ⊆ Aut C22606C2^2:(C5xC3:D4)480,1023
C22:2(C5xC3:D4) = C5xC23.14D6φ: C5xC3:D4/C5xDic3 → C2 ⊆ Aut C22240C2^2:2(C5xC3:D4)480,818
C22:3(C5xC3:D4) = C5xC23:2D6φ: C5xC3:D4/S3xC10 → C2 ⊆ Aut C22120C2^2:3(C5xC3:D4)480,816
C22:4(C5xC3:D4) = C5xC24:4S3φ: C5xC3:D4/C2xC30 → C2 ⊆ Aut C22120C2^2:4(C5xC3:D4)480,832

Non-split extensions G=N.Q with N=C22 and Q=C5xC3:D4
extensionφ:Q→Aut NdρLabelID
C22.1(C5xC3:D4) = C5xQ8.13D6φ: C5xC3:D4/C5xDic3 → C2 ⊆ Aut C222404C2^2.1(C5xC3:D4)480,829
C22.2(C5xC3:D4) = C5xC23.7D6φ: C5xC3:D4/S3xC10 → C2 ⊆ Aut C221204C2^2.2(C5xC3:D4)480,153
C22.3(C5xC3:D4) = C5xQ8:3Dic3φ: C5xC3:D4/S3xC10 → C2 ⊆ Aut C221204C2^2.3(C5xC3:D4)480,156
C22.4(C5xC3:D4) = C5xC23.23D6φ: C5xC3:D4/S3xC10 → C2 ⊆ Aut C22240C2^2.4(C5xC3:D4)480,814
C22.5(C5xC3:D4) = C5xD4:D6φ: C5xC3:D4/S3xC10 → C2 ⊆ Aut C221204C2^2.5(C5xC3:D4)480,828
C22.6(C5xC3:D4) = C5xQ8.14D6φ: C5xC3:D4/S3xC10 → C2 ⊆ Aut C222404C2^2.6(C5xC3:D4)480,830
C22.7(C5xC3:D4) = C5xC42:4S3φ: C5xC3:D4/C2xC30 → C2 ⊆ Aut C221202C2^2.7(C5xC3:D4)480,124
C22.8(C5xC3:D4) = C5xC23.6D6φ: C5xC3:D4/C2xC30 → C2 ⊆ Aut C221204C2^2.8(C5xC3:D4)480,125
C22.9(C5xC3:D4) = C5xC23.28D6φ: C5xC3:D4/C2xC30 → C2 ⊆ Aut C22240C2^2.9(C5xC3:D4)480,808
C22.10(C5xC3:D4) = C5xD12:6C22φ: C5xC3:D4/C2xC30 → C2 ⊆ Aut C221204C2^2.10(C5xC3:D4)480,811
C22.11(C5xC3:D4) = C5xQ8.11D6φ: C5xC3:D4/C2xC30 → C2 ⊆ Aut C222404C2^2.11(C5xC3:D4)480,821
C22.12(C5xC3:D4) = C5xC6.Q16central extension (φ=1)480C2^2.12(C5xC3:D4)480,126
C22.13(C5xC3:D4) = C5xC12.Q8central extension (φ=1)480C2^2.13(C5xC3:D4)480,127
C22.14(C5xC3:D4) = C5xC6.D8central extension (φ=1)240C2^2.14(C5xC3:D4)480,128
C22.15(C5xC3:D4) = C5xC6.SD16central extension (φ=1)480C2^2.15(C5xC3:D4)480,129
C22.16(C5xC3:D4) = C5xC6.C42central extension (φ=1)480C2^2.16(C5xC3:D4)480,150
C22.17(C5xC3:D4) = C5xD4:Dic3central extension (φ=1)240C2^2.17(C5xC3:D4)480,151
C22.18(C5xC3:D4) = C5xQ8:2Dic3central extension (φ=1)480C2^2.18(C5xC3:D4)480,154
C22.19(C5xC3:D4) = C10xDic3:C4central extension (φ=1)480C2^2.19(C5xC3:D4)480,802
C22.20(C5xC3:D4) = C10xD6:C4central extension (φ=1)240C2^2.20(C5xC3:D4)480,806
C22.21(C5xC3:D4) = C10xD4:S3central extension (φ=1)240C2^2.21(C5xC3:D4)480,810
C22.22(C5xC3:D4) = C10xD4.S3central extension (φ=1)240C2^2.22(C5xC3:D4)480,812
C22.23(C5xC3:D4) = C10xQ8:2S3central extension (φ=1)240C2^2.23(C5xC3:D4)480,820
C22.24(C5xC3:D4) = C10xC3:Q16central extension (φ=1)480C2^2.24(C5xC3:D4)480,822
C22.25(C5xC3:D4) = C10xC6.D4central extension (φ=1)240C2^2.25(C5xC3:D4)480,831

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