Extensions 1→N→G→Q→1 with N=C8 and Q=C5xQ8

Direct product G=NxQ with N=C8 and Q=C5xQ8
dρLabelID
Q8xC40320Q8xC40320,946

Semidirect products G=N:Q with N=C8 and Q=C5xQ8
extensionφ:Q→Aut NdρLabelID
C8:(C5xQ8) = C5xC8:Q8φ: C5xQ8/C10C22 ⊆ Aut C8320C8:(C5xQ8)320,1002
C8:2(C5xQ8) = C5xC8:2Q8φ: C5xQ8/C20C2 ⊆ Aut C8320C8:2(C5xQ8)320,1001
C8:3(C5xQ8) = C5xC8:3Q8φ: C5xQ8/C20C2 ⊆ Aut C8320C8:3(C5xQ8)320,999
C8:4(C5xQ8) = C5xC8:4Q8φ: C5xQ8/C20C2 ⊆ Aut C8320C8:4(C5xQ8)320,947

Non-split extensions G=N.Q with N=C8 and Q=C5xQ8
extensionφ:Q→Aut NdρLabelID
C8.(C5xQ8) = C5xC8.Q8φ: C5xQ8/C10C22 ⊆ Aut C8804C8.(C5xQ8)320,170
C8.2(C5xQ8) = C5xC16:3C4φ: C5xQ8/C20C2 ⊆ Aut C8320C8.2(C5xQ8)320,171
C8.3(C5xQ8) = C5xC16:4C4φ: C5xQ8/C20C2 ⊆ Aut C8320C8.3(C5xQ8)320,172
C8.4(C5xQ8) = C5xC8.5Q8φ: C5xQ8/C20C2 ⊆ Aut C8320C8.4(C5xQ8)320,1000
C8.5(C5xQ8) = C5xC8.4Q8φ: C5xQ8/C20C2 ⊆ Aut C81602C8.5(C5xQ8)320,173
C8.6(C5xQ8) = C5xC8.C8φ: C5xQ8/C20C2 ⊆ Aut C8802C8.6(C5xQ8)320,169
C8.7(C5xQ8) = C5xC4:C16central extension (φ=1)320C8.7(C5xQ8)320,168

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