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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.26C24

Direct product G=N×Q with N=C5 and Q=C22.26C24
dρLabelID
C5×C22.26C24160C5xC2^2.26C2^4320,1534

Semidirect products G=N:Q with N=C5 and Q=C22.26C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.26C24) = C42.276D10φ: C22.26C24/C2×C42 → C2 ⊆ Aut C5160C5:1(C2^2.26C2^4)320,1149
C5⋊2(C22.26C24) = C42.228D10φ: C22.26C24/C4×D4 → C2 ⊆ Aut C5160C5:2(C2^2.26C2^4)320,1220
C5⋊3(C22.26C24) = C20⋊(C4○D4)φ: C22.26C24/C4⋊D4 → C2 ⊆ Aut C5160C5:3(C2^2.26C2^4)320,1268
C5⋊4(C22.26C24) = C42.233D10φ: C22.26C24/C4.4D4 → C2 ⊆ Aut C5160C5:4(C2^2.26C2^4)320,1340
C5⋊5(C22.26C24) = C42.238D10φ: C22.26C24/C4⋊1D4 → C2 ⊆ Aut C5160C5:5(C2^2.26C2^4)320,1388
C5⋊6(C22.26C24) = C42.240D10φ: C22.26C24/C4⋊Q8 → C2 ⊆ Aut C5160C5:6(C2^2.26C2^4)320,1397
C5⋊7(C22.26C24) = (C2×C20)⋊17D4φ: C22.26C24/C2×C4○D4 → C2 ⊆ Aut C5160C5:7(C2^2.26C2^4)320,1504


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