Extensions 1→N→G→Q→1 with N=C5 and Q=C82M4(2)

Direct product G=N×Q with N=C5 and Q=C82M4(2)
dρLabelID
C5×C82M4(2)160C5xC8o2M4(2)320,906

Semidirect products G=N:Q with N=C5 and Q=C82M4(2)
extensionφ:Q→Aut NdρLabelID
C51(C82M4(2)) = Dic5.C42φ: C82M4(2)/C22⋊C4C4 ⊆ Aut C5160C5:1(C8o2M4(2))320,1029
C52(C82M4(2)) = D10.C42φ: C82M4(2)/C4⋊C4C4 ⊆ Aut C5160C5:2(C8o2M4(2))320,1039
C53(C82M4(2)) = C20.12C42φ: C82M4(2)/C2×C8C4 ⊆ Aut C5804C5:3(C8o2M4(2))320,1056
C54(C82M4(2)) = M4(2)⋊5F5φ: C82M4(2)/M4(2)C4 ⊆ Aut C5808C5:4(C8o2M4(2))320,1066
C55(C82M4(2)) = D10.5C42φ: C82M4(2)/C4×C8C2 ⊆ Aut C5160C5:5(C8o2M4(2))320,316
C56(C82M4(2)) = D10.7C42φ: C82M4(2)/C8⋊C4C2 ⊆ Aut C5160C5:6(C8o2M4(2))320,335
C57(C82M4(2)) = C20.35C42φ: C82M4(2)/C42⋊C2C2 ⊆ Aut C5160C5:7(C8o2M4(2))320,624
C58(C82M4(2)) = C20.42C42φ: C82M4(2)/C22×C8C2 ⊆ Aut C5160C5:8(C8o2M4(2))320,728
C59(C82M4(2)) = C20.37C42φ: C82M4(2)/C2×M4(2)C2 ⊆ Aut C5160C5:9(C8o2M4(2))320,749


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