Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C20

Direct product G=N×Q with N=C8 and Q=C2×C20
dρLabelID
C2×C4×C40320C2xC4xC40320,903

Semidirect products G=N:Q with N=C8 and Q=C2×C20
extensionφ:Q→Aut NdρLabelID
C81(C2×C20) = C5×M4(2)⋊C4φ: C2×C20/C10C22 ⊆ Aut C8160C8:1(C2xC20)320,929
C82(C2×C20) = C5×SD16⋊C4φ: C2×C20/C10C22 ⊆ Aut C8160C8:2(C2xC20)320,941
C83(C2×C20) = C5×D8⋊C4φ: C2×C20/C10C22 ⊆ Aut C8160C8:3(C2xC20)320,943
C84(C2×C20) = D8×C20φ: C2×C20/C20C2 ⊆ Aut C8160C8:4(C2xC20)320,938
C85(C2×C20) = SD16×C20φ: C2×C20/C20C2 ⊆ Aut C8160C8:5(C2xC20)320,939
C86(C2×C20) = M4(2)×C20φ: C2×C20/C20C2 ⊆ Aut C8160C8:6(C2xC20)320,905
C87(C2×C20) = C10×C2.D8φ: C2×C20/C2×C10C2 ⊆ Aut C8320C8:7(C2xC20)320,927
C88(C2×C20) = C10×C4.Q8φ: C2×C20/C2×C10C2 ⊆ Aut C8320C8:8(C2xC20)320,926
C89(C2×C20) = C10×C8⋊C4φ: C2×C20/C2×C10C2 ⊆ Aut C8320C8:9(C2xC20)320,904

Non-split extensions G=N.Q with N=C8 and Q=C2×C20
extensionφ:Q→Aut NdρLabelID
C8.1(C2×C20) = C5×D82C4φ: C2×C20/C10C22 ⊆ Aut C8804C8.1(C2xC20)320,165
C8.2(C2×C20) = C5×M5(2)⋊C2φ: C2×C20/C10C22 ⊆ Aut C8804C8.2(C2xC20)320,166
C8.3(C2×C20) = C5×C8.17D4φ: C2×C20/C10C22 ⊆ Aut C81604C8.3(C2xC20)320,167
C8.4(C2×C20) = C5×M4(2).C4φ: C2×C20/C10C22 ⊆ Aut C8804C8.4(C2xC20)320,931
C8.5(C2×C20) = C5×Q16⋊C4φ: C2×C20/C10C22 ⊆ Aut C8320C8.5(C2xC20)320,942
C8.6(C2×C20) = C5×C8.26D4φ: C2×C20/C10C22 ⊆ Aut C8804C8.6(C2xC20)320,945
C8.7(C2×C20) = C5×C2.D16φ: C2×C20/C20C2 ⊆ Aut C8160C8.7(C2xC20)320,162
C8.8(C2×C20) = C5×C2.Q32φ: C2×C20/C20C2 ⊆ Aut C8320C8.8(C2xC20)320,163
C8.9(C2×C20) = C5×D8.C4φ: C2×C20/C20C2 ⊆ Aut C81602C8.9(C2xC20)320,164
C8.10(C2×C20) = Q16×C20φ: C2×C20/C20C2 ⊆ Aut C8320C8.10(C2xC20)320,940
C8.11(C2×C20) = C5×C8○D8φ: C2×C20/C20C2 ⊆ Aut C8802C8.11(C2xC20)320,944
C8.12(C2×C20) = C5×D4○C16φ: C2×C20/C20C2 ⊆ Aut C81602C8.12(C2xC20)320,1005
C8.13(C2×C20) = C5×C163C4φ: C2×C20/C2×C10C2 ⊆ Aut C8320C8.13(C2xC20)320,171
C8.14(C2×C20) = C5×C164C4φ: C2×C20/C2×C10C2 ⊆ Aut C8320C8.14(C2xC20)320,172
C8.15(C2×C20) = C5×C8.4Q8φ: C2×C20/C2×C10C2 ⊆ Aut C81602C8.15(C2xC20)320,173
C8.16(C2×C20) = C5×C23.25D4φ: C2×C20/C2×C10C2 ⊆ Aut C8160C8.16(C2xC20)320,928
C8.17(C2×C20) = C10×C8.C4φ: C2×C20/C2×C10C2 ⊆ Aut C8160C8.17(C2xC20)320,930
C8.18(C2×C20) = C5×C8.Q8φ: C2×C20/C2×C10C2 ⊆ Aut C8804C8.18(C2xC20)320,170
C8.19(C2×C20) = C5×C16⋊C4φ: C2×C20/C2×C10C2 ⊆ Aut C8804C8.19(C2xC20)320,152
C8.20(C2×C20) = C10×M5(2)φ: C2×C20/C2×C10C2 ⊆ Aut C8160C8.20(C2xC20)320,1004
C8.21(C2×C20) = C5×C165C4central extension (φ=1)320C8.21(C2xC20)320,151
C8.22(C2×C20) = C5×M6(2)central extension (φ=1)1602C8.22(C2xC20)320,175
C8.23(C2×C20) = C5×C82M4(2)central extension (φ=1)160C8.23(C2xC20)320,906

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