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Extensions 1→N→G→Q→1 with N=C40 and Q=C2xC6

Direct product G=NxQ with N=C40 and Q=C2xC6
dρLabelID
C22xC120480C2^2xC120480,934

Semidirect products G=N:Q with N=C40 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C40:1(C2xC6) = C3xC8:D10φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:1(C2xC6)480,701
C40:2(C2xC6) = C3xD5xD8φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:2(C2xC6)480,703
C40:3(C2xC6) = C3xD40:C2φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:3(C2xC6)480,707
C40:4(C2xC6) = C3xD8:D5φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:4(C2xC6)480,704
C40:5(C2xC6) = C3xD5xSD16φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:5(C2xC6)480,706
C40:6(C2xC6) = C3xD5xM4(2)φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:6(C2xC6)480,699
C40:7(C2xC6) = C15xC8:C22φ: C2xC6/C3 → C22 ⊆ Aut C401204C40:7(C2xC6)480,941
C40:8(C2xC6) = C6xD40φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:8(C2xC6)480,696
C40:9(C2xC6) = C6xC40:C2φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:9(C2xC6)480,695
C40:10(C2xC6) = D5xC2xC24φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:10(C2xC6)480,692
C40:11(C2xC6) = C6xC8:D5φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:11(C2xC6)480,693
C40:12(C2xC6) = D8xC30φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:12(C2xC6)480,937
C40:13(C2xC6) = SD16xC30φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:13(C2xC6)480,938
C40:14(C2xC6) = M4(2)xC30φ: C2xC6/C6 → C2 ⊆ Aut C40240C40:14(C2xC6)480,935

Non-split extensions G=N.Q with N=C40 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C40.1(C2xC6) = C3xC8.D10φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.1(C2xC6)480,702
C40.2(C2xC6) = C3xC5:D16φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.2(C2xC6)480,104
C40.3(C2xC6) = C3xD8.D5φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.3(C2xC6)480,105
C40.4(C2xC6) = C3xC5:SD32φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.4(C2xC6)480,106
C40.5(C2xC6) = C3xC5:Q32φ: C2xC6/C3 → C22 ⊆ Aut C404804C40.5(C2xC6)480,107
C40.6(C2xC6) = C3xD8:3D5φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.6(C2xC6)480,705
C40.7(C2xC6) = C3xD5xQ16φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.7(C2xC6)480,710
C40.8(C2xC6) = C3xQ8.D10φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.8(C2xC6)480,712
C40.9(C2xC6) = C3xSD16:D5φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.9(C2xC6)480,708
C40.10(C2xC6) = C3xQ16:D5φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.10(C2xC6)480,711
C40.11(C2xC6) = C3xSD16:3D5φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.11(C2xC6)480,709
C40.12(C2xC6) = C3xD20.2C4φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.12(C2xC6)480,700
C40.13(C2xC6) = C15xC8.C22φ: C2xC6/C3 → C22 ⊆ Aut C402404C40.13(C2xC6)480,942
C40.14(C2xC6) = C3xD80φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.14(C2xC6)480,77
C40.15(C2xC6) = C3xC16:D5φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.15(C2xC6)480,78
C40.16(C2xC6) = C3xDic40φ: C2xC6/C6 → C2 ⊆ Aut C404802C40.16(C2xC6)480,79
C40.17(C2xC6) = C3xD40:7C2φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.17(C2xC6)480,697
C40.18(C2xC6) = C6xDic20φ: C2xC6/C6 → C2 ⊆ Aut C40480C40.18(C2xC6)480,698
C40.19(C2xC6) = D5xC48φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.19(C2xC6)480,75
C40.20(C2xC6) = C3xC80:C2φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.20(C2xC6)480,76
C40.21(C2xC6) = C6xC5:2C16φ: C2xC6/C6 → C2 ⊆ Aut C40480C40.21(C2xC6)480,89
C40.22(C2xC6) = C3xC20.4C8φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.22(C2xC6)480,90
C40.23(C2xC6) = C3xD20.3C4φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.23(C2xC6)480,694
C40.24(C2xC6) = C15xD16φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.24(C2xC6)480,214
C40.25(C2xC6) = C15xSD32φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.25(C2xC6)480,215
C40.26(C2xC6) = C15xQ32φ: C2xC6/C6 → C2 ⊆ Aut C404802C40.26(C2xC6)480,216
C40.27(C2xC6) = Q16xC30φ: C2xC6/C6 → C2 ⊆ Aut C40480C40.27(C2xC6)480,939
C40.28(C2xC6) = C15xC4oD8φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.28(C2xC6)480,940
C40.29(C2xC6) = C15xC8oD4φ: C2xC6/C6 → C2 ⊆ Aut C402402C40.29(C2xC6)480,936
C40.30(C2xC6) = C15xM5(2)central extension (φ=1)2402C40.30(C2xC6)480,213

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