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
C5⋊1(Q8.Q8) = Q8.Dic10φ: Q8.Q8/Q8⋊C4 → C2 ⊆ Aut C5320C5:1(Q8.Q8)320,423
C5⋊2(Q8.Q8) = Q8.2Dic10φ: Q8.Q8/Q8⋊C4 → C2 ⊆ Aut C5320C5:2(Q8.Q8)320,426
C5⋊3(Q8.Q8) = Dic10.3Q8φ: Q8.Q8/C4⋊C8 → C2 ⊆ Aut C5320C5:3(Q8.Q8)320,456
C5⋊4(Q8.Q8) = Dic10.Q8φ: Q8.Q8/C4.Q8 → C2 ⊆ Aut C5320C5:4(Q8.Q8)320,484
C5⋊5(Q8.Q8) = Dic10.2Q8φ: Q8.Q8/C2.D8 → C2 ⊆ Aut C5320C5:5(Q8.Q8)320,504
C5⋊6(Q8.Q8) = Q8.3Dic10φ: Q8.Q8/C4×Q8 → C2 ⊆ Aut C5320C5:6(Q8.Q8)320,649
C5⋊7(Q8.Q8) = Dic10.4Q8φ: Q8.Q8/C42.C2 → C2 ⊆ Aut C5320C5:7(Q8.Q8)320,690


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