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:Q8320,976

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)320,418
C5⋊2(Q8⋊Q8) = Dic10⋊4Q8φ: Q8⋊Q8/C4⋊C8 → C2 ⊆ Aut C5320C5:2(Q8:Q8)320,478
C5⋊3(Q8⋊Q8) = Dic10⋊Q8φ: Q8⋊Q8/C4.Q8 → C2 ⊆ Aut C5320C5:3(Q8:Q8)320,481
C5⋊4(Q8⋊Q8) = C20.48SD16φ: Q8⋊Q8/C4×Q8 → C2 ⊆ Aut C5320C5:4(Q8:Q8)320,647
C5⋊5(Q8⋊Q8) = Dic10⋊6Q8φ: Q8⋊Q8/C4⋊Q8 → C2 ⊆ Aut C5320C5:5(Q8:Q8)320,721


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