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

Direct product G=N×Q with N=C5 and Q=C4⋊M4(2)
dρLabelID
C5×C4⋊M4(2)160C5xC4:M4(2)320,924

Semidirect products G=N:Q with N=C5 and Q=C4⋊M4(2)
extensionφ:Q→Aut NdρLabelID
C51(C4⋊M4(2)) = C203M4(2)φ: C4⋊M4(2)/C42C4 ⊆ Aut C5160C5:1(C4:M4(2))320,1019
C52(C4⋊M4(2)) = C42.14F5φ: C4⋊M4(2)/C42C4 ⊆ Aut C5160C5:2(C4:M4(2))320,1020
C53(C4⋊M4(2)) = C208M4(2)φ: C4⋊M4(2)/C22×C4C4 ⊆ Aut C5160C5:3(C4:M4(2))320,1096
C54(C4⋊M4(2)) = C205M4(2)φ: C4⋊M4(2)/C4⋊C8C2 ⊆ Aut C5160C5:4(C4:M4(2))320,464
C55(C4⋊M4(2)) = C2013M4(2)φ: C4⋊M4(2)/C2×C42C2 ⊆ Aut C5160C5:5(C4:M4(2))320,551
C56(C4⋊M4(2)) = Dic55M4(2)φ: C4⋊M4(2)/C2×M4(2)C2 ⊆ Aut C5160C5:6(C4:M4(2))320,745


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