Extensions 1→N→G→Q→1 with N=C5 and Q=M4(2):4C4

Direct product G=NxQ with N=C5 and Q=M4(2):4C4
dρLabelID
C5xM4(2):4C4804C5xM4(2):4C4320,149

Semidirect products G=N:Q with N=C5 and Q=M4(2):4C4
extensionφ:Q→Aut NdρLabelID
C5:1(M4(2):4C4) = C22:C4.F5φ: M4(2):4C4/C22:C4C4 ⊆ Aut C5808-C5:1(M4(2):4C4)320,205
C5:2(M4(2):4C4) = (C2xC8):F5φ: M4(2):4C4/C2xC8C4 ⊆ Aut C5804C5:2(M4(2):4C4)320,232
C5:3(M4(2):4C4) = M4(2):4F5φ: M4(2):4C4/M4(2)C4 ⊆ Aut C5808C5:3(M4(2):4C4)320,240
C5:4(M4(2):4C4) = C20.60(C4:C4)φ: M4(2):4C4/C42:C2C2 ⊆ Aut C5804C5:4(M4(2):4C4)320,91
C5:5(M4(2):4C4) = (C2xC40):C4φ: M4(2):4C4/C2xM4(2)C2 ⊆ Aut C5804C5:5(M4(2):4C4)320,114
C5:6(M4(2):4C4) = M4(2):4Dic5φ: M4(2):4C4/C2xM4(2)C2 ⊆ Aut C5804C5:6(M4(2):4C4)320,117


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