Extensions 1→N→G→Q→1 with N=C5 and Q=Q8.Q8

Direct product G=N×Q with N=C5 and Q=Q8.Q8
dρLabelID
C5×Q8.Q8320C5xQ8.Q8320,980

Semidirect products G=N:Q with N=C5 and Q=Q8.Q8
extensionφ:Q→Aut NdρLabelID
C51(Q8.Q8) = Q8.Dic10φ: Q8.Q8/Q8⋊C4C2 ⊆ Aut C5320C5:1(Q8.Q8)320,423
C52(Q8.Q8) = Q8.2Dic10φ: Q8.Q8/Q8⋊C4C2 ⊆ Aut C5320C5:2(Q8.Q8)320,426
C53(Q8.Q8) = Dic10.3Q8φ: Q8.Q8/C4⋊C8C2 ⊆ Aut C5320C5:3(Q8.Q8)320,456
C54(Q8.Q8) = Dic10.Q8φ: Q8.Q8/C4.Q8C2 ⊆ Aut C5320C5:4(Q8.Q8)320,484
C55(Q8.Q8) = Dic10.2Q8φ: Q8.Q8/C2.D8C2 ⊆ Aut C5320C5:5(Q8.Q8)320,504
C56(Q8.Q8) = Q8.3Dic10φ: Q8.Q8/C4×Q8C2 ⊆ Aut C5320C5:6(Q8.Q8)320,649
C57(Q8.Q8) = Dic10.4Q8φ: Q8.Q8/C42.C2C2 ⊆ Aut C5320C5:7(Q8.Q8)320,690


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