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Extensions 1→N→G→Q→1 with N=C5 and Q=C42.30C22

Direct product G=NxQ with N=C5 and Q=C42.30C22
dρLabelID
C5xC42.30C22320C5xC4^2.30C2^2320,992

Semidirect products G=N:Q with N=C5 and Q=C42.30C22
extensionφ:Q→Aut NdρLabelID
C5:1(C42.30C22) = C42.14D10φ: C42.30C22/C8:C4 → C2 ⊆ Aut C5320C5:1(C4^2.30C2^2)320,330
C5:2(C42.30C22) = C40:8C4.C2φ: C42.30C22/Q8:C4 → C2 ⊆ Aut C5320C5:2(C4^2.30C2^2)320,424
C5:3(C42.30C22) = C42.71D10φ: C42.30C22/C42.C2 → C2 ⊆ Aut C5320C5:3(C4^2.30C2^2)320,696
C5:4(C42.30C22) = C42.77D10φ: C42.30C22/C4:Q8 → C2 ⊆ Aut C5320C5:4(C4^2.30C2^2)320,709


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