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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.7C42

Direct product G=NxQ with N=C5 and Q=C22.7C42
dρLabelID
C5xC22.7C42320C5xC2^2.7C4^2320,141

Semidirect products G=N:Q with N=C5 and Q=C22.7C42
extensionφ:Q→Aut NdρLabelID
C5:1(C22.7C42) = D10.3M4(2)φ: C22.7C42/C2xC8 → C4 ⊆ Aut C580C5:1(C2^2.7C4^2)320,230
C5:2(C22.7C42) = C10.(C4:C8)φ: C22.7C42/C22xC4 → C4 ⊆ Aut C5320C5:2(C2^2.7C4^2)320,256
C5:3(C22.7C42) = (C2xC20):8C8φ: C22.7C42/C2xC42 → C2 ⊆ Aut C5320C5:3(C2^2.7C4^2)320,82
C5:4(C22.7C42) = (C2xC40):15C4φ: C22.7C42/C22xC8 → C2 ⊆ Aut C5320C5:4(C2^2.7C4^2)320,108


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