Extensions 1→N→G→Q→1 with N=C8 and Q=C5×D4

Direct product G=N×Q with N=C8 and Q=C5×D4
dρLabelID
D4×C40160D4xC40320,935

Semidirect products G=N:Q with N=C8 and Q=C5×D4
extensionφ:Q→Aut NdρLabelID
C81(C5×D4) = C5×C8⋊D4φ: C5×D4/C10C22 ⊆ Aut C8160C8:1(C5xD4)320,969
C82(C5×D4) = C5×C82D4φ: C5×D4/C10C22 ⊆ Aut C8160C8:2(C5xD4)320,970
C83(C5×D4) = C5×C83D4φ: C5×D4/C10C22 ⊆ Aut C8160C8:3(C5xD4)320,997
C84(C5×D4) = C5×C84D4φ: C5×D4/C20C2 ⊆ Aut C8160C8:4(C5xD4)320,994
C85(C5×D4) = C5×C85D4φ: C5×D4/C20C2 ⊆ Aut C8160C8:5(C5xD4)320,993
C86(C5×D4) = C5×C86D4φ: C5×D4/C20C2 ⊆ Aut C8160C8:6(C5xD4)320,937
C87(C5×D4) = C5×C87D4φ: C5×D4/C2×C10C2 ⊆ Aut C8160C8:7(C5xD4)320,967
C88(C5×D4) = C5×C88D4φ: C5×D4/C2×C10C2 ⊆ Aut C8160C8:8(C5xD4)320,966
C89(C5×D4) = C5×C89D4φ: C5×D4/C2×C10C2 ⊆ Aut C8160C8:9(C5xD4)320,936

Non-split extensions G=N.Q with N=C8 and Q=C5×D4
extensionφ:Q→Aut NdρLabelID
C8.1(C5×D4) = C5×C8.D4φ: C5×D4/C10C22 ⊆ Aut C8160C8.1(C5xD4)320,971
C8.2(C5×D4) = C5×C8.2D4φ: C5×D4/C10C22 ⊆ Aut C8160C8.2(C5xD4)320,998
C8.3(C5×D4) = C5×C16⋊C22φ: C5×D4/C10C22 ⊆ Aut C8804C8.3(C5xD4)320,1010
C8.4(C5×D4) = C5×Q32⋊C2φ: C5×D4/C10C22 ⊆ Aut C81604C8.4(C5xD4)320,1011
C8.5(C5×D4) = C5×D32φ: C5×D4/C20C2 ⊆ Aut C81602C8.5(C5xD4)320,176
C8.6(C5×D4) = C5×SD64φ: C5×D4/C20C2 ⊆ Aut C81602C8.6(C5xD4)320,177
C8.7(C5×D4) = C5×Q64φ: C5×D4/C20C2 ⊆ Aut C83202C8.7(C5xD4)320,178
C8.8(C5×D4) = C5×C4⋊Q16φ: C5×D4/C20C2 ⊆ Aut C8320C8.8(C5xD4)320,995
C8.9(C5×D4) = C10×D16φ: C5×D4/C20C2 ⊆ Aut C8160C8.9(C5xD4)320,1006
C8.10(C5×D4) = C10×SD32φ: C5×D4/C20C2 ⊆ Aut C8160C8.10(C5xD4)320,1007
C8.11(C5×D4) = C10×Q32φ: C5×D4/C20C2 ⊆ Aut C8320C8.11(C5xD4)320,1008
C8.12(C5×D4) = C5×C8.12D4φ: C5×D4/C20C2 ⊆ Aut C8160C8.12(C5xD4)320,996
C8.13(C5×D4) = C5×C4○D16φ: C5×D4/C20C2 ⊆ Aut C81602C8.13(C5xD4)320,1009
C8.14(C5×D4) = C5×C2.D16φ: C5×D4/C2×C10C2 ⊆ Aut C8160C8.14(C5xD4)320,162
C8.15(C5×D4) = C5×C2.Q32φ: C5×D4/C2×C10C2 ⊆ Aut C8320C8.15(C5xD4)320,163
C8.16(C5×D4) = C5×M5(2)⋊C2φ: C5×D4/C2×C10C2 ⊆ Aut C8804C8.16(C5xD4)320,166
C8.17(C5×D4) = C5×C8.17D4φ: C5×D4/C2×C10C2 ⊆ Aut C81604C8.17(C5xD4)320,167
C8.18(C5×D4) = C5×C8.18D4φ: C5×D4/C2×C10C2 ⊆ Aut C8160C8.18(C5xD4)320,968
C8.19(C5×D4) = C5×D4.4D4φ: C5×D4/C2×C10C2 ⊆ Aut C8804C8.19(C5xD4)320,973
C8.20(C5×D4) = C5×D4.5D4φ: C5×D4/C2×C10C2 ⊆ Aut C81604C8.20(C5xD4)320,974
C8.21(C5×D4) = C5×D8.C4φ: C5×D4/C2×C10C2 ⊆ Aut C81602C8.21(C5xD4)320,164
C8.22(C5×D4) = C5×D82C4φ: C5×D4/C2×C10C2 ⊆ Aut C8804C8.22(C5xD4)320,165
C8.23(C5×D4) = C5×D4.3D4φ: C5×D4/C2×C10C2 ⊆ Aut C8804C8.23(C5xD4)320,972
C8.24(C5×D4) = C5×C23.C8φ: C5×D4/C2×C10C2 ⊆ Aut C8804C8.24(C5xD4)320,154
C8.25(C5×D4) = C5×C8.26D4φ: C5×D4/C2×C10C2 ⊆ Aut C8804C8.25(C5xD4)320,945
C8.26(C5×D4) = C5×C22⋊C16central extension (φ=1)160C8.26(C5xD4)320,153
C8.27(C5×D4) = C5×D4.C8central extension (φ=1)1602C8.27(C5xD4)320,155
C8.28(C5×D4) = C5×C4⋊C16central extension (φ=1)320C8.28(C5xD4)320,168
C8.29(C5×D4) = C5×C8.C8central extension (φ=1)802C8.29(C5xD4)320,169
C8.30(C5×D4) = C5×C8○D8central extension (φ=1)802C8.30(C5xD4)320,944

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