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Extensions 1→N→G→Q→1 with N=C5 and Q=C4.C42

Direct product G=NxQ with N=C5 and Q=C4.C42
dρLabelID
C5xC4.C42160C5xC4.C4^2320,146

Semidirect products G=N:Q with N=C5 and Q=C4.C42
extensionφ:Q→Aut NdρLabelID
C5:1(C4.C42) = C20.10C42φ: C4.C42/C2xC8 → C4 ⊆ Aut C5160C5:1(C4.C4^2)320,234
C5:2(C4.C42) = M4(2).F5φ: C4.C42/M4(2) → C4 ⊆ Aut C5808C5:2(C4.C4^2)320,239
C5:3(C4.C42) = C20.40C42φ: C4.C42/C22xC8 → C2 ⊆ Aut C5160C5:3(C4.C4^2)320,110
C5:4(C4.C42) = C20.34C42φ: C4.C42/C2xM4(2) → C2 ⊆ Aut C5160C5:4(C4.C4^2)320,116


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