Extensions 1→N→G→Q→1 with N=C5 and Q=Q8×C2×C6

Direct product G=N×Q with N=C5 and Q=Q8×C2×C6
dρLabelID
Q8×C2×C30480Q8xC2xC30480,1182

Semidirect products G=N:Q with N=C5 and Q=Q8×C2×C6
extensionφ:Q→Aut NdρLabelID
C51(Q8×C2×C6) = C2×C6×Dic10φ: Q8×C2×C6/C22×C12C2 ⊆ Aut C5480C5:1(Q8xC2xC6)480,1135
C52(Q8×C2×C6) = C6×Q8×D5φ: Q8×C2×C6/C6×Q8C2 ⊆ Aut C5240C5:2(Q8xC2xC6)480,1142


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