Extensions 1→N→G→Q→1 with N=C5 and Q=C22.M4(2)

Direct product G=NxQ with N=C5 and Q=C22.M4(2)
dρLabelID
C5xC22.M4(2)160C5xC2^2.M4(2)320,129

Semidirect products G=N:Q with N=C5 and Q=C22.M4(2)
extensionφ:Q→Aut NdρLabelID
C5:1(C22.M4(2)) = (C2xC20):1C8φ: C22.M4(2)/C22xC4C4 ⊆ Aut C5160C5:1(C2^2.M4(2))320,251
C5:2(C22.M4(2)) = (C22xC4).F5φ: C22.M4(2)/C22xC4C4 ⊆ Aut C5160C5:2(C2^2.M4(2))320,252
C5:3(C22.M4(2)) = (C2xDic5):C8φ: C22.M4(2)/C22:C8C2 ⊆ Aut C5160C5:3(C2^2.M4(2))320,27
C5:4(C22.M4(2)) = (C2xC20):C8φ: C22.M4(2)/C2xC4:C4C2 ⊆ Aut C5160C5:4(C2^2.M4(2))320,86


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