Extensions 1→N→G→Q→1 with N=C5 and Q=C2×M4(2)

Direct product G=N×Q with N=C5 and Q=C2×M4(2)
dρLabelID
C10×M4(2)80C10xM4(2)160,191

Semidirect products G=N:Q with N=C5 and Q=C2×M4(2)
extensionφ:Q→Aut NdρLabelID
C51(C2×M4(2)) = C2×C4.F5φ: C2×M4(2)/C2×C4C4 ⊆ Aut C580C5:1(C2xM4(2))160,201
C52(C2×M4(2)) = D5⋊M4(2)φ: C2×M4(2)/C2×C4C4 ⊆ Aut C5404C5:2(C2xM4(2))160,202
C53(C2×M4(2)) = C2×C22.F5φ: C2×M4(2)/C23C4 ⊆ Aut C580C5:3(C2xM4(2))160,211
C54(C2×M4(2)) = C2×C8⋊D5φ: C2×M4(2)/C2×C8C2 ⊆ Aut C580C5:4(C2xM4(2))160,121
C55(C2×M4(2)) = D5×M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C5404C5:5(C2xM4(2))160,127
C56(C2×M4(2)) = C2×C4.Dic5φ: C2×M4(2)/C22×C4C2 ⊆ Aut C580C5:6(C2xM4(2))160,142


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