Extensions 1→N→G→Q→1 with N=C5 and Q=C2×2- 1+4

Direct product G=N×Q with N=C5 and Q=C2×2- 1+4
dρLabelID
C10×2- 1+4160C10xES-(2,2)320,1633

Semidirect products G=N:Q with N=C5 and Q=C2×2- 1+4
extensionφ:Q→Aut NdρLabelID
C51(C2×2- 1+4) = C2×Q8.10D10φ: C2×2- 1+4/C22×Q8C2 ⊆ Aut C5160C5:1(C2xES-(2,2))320,1617
C52(C2×2- 1+4) = C2×D4.10D10φ: C2×2- 1+4/C2×C4○D4C2 ⊆ Aut C5160C5:2(C2xES-(2,2))320,1620
C53(C2×2- 1+4) = D5×2- 1+4φ: C2×2- 1+4/2- 1+4C2 ⊆ Aut C5808-C5:3(C2xES-(2,2))320,1624


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