Extensions 1→N→G→Q→1 with N=C5 and Q=Q8⋊D4

Direct product G=N×Q with N=C5 and Q=Q8⋊D4
dρLabelID
C5×Q8⋊D4160C5xQ8:D4320,949

Semidirect products G=N:Q with N=C5 and Q=Q8⋊D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(Q8⋊D4) = Dic10⋊14D4φ: Q8⋊D4/C22⋊C8 → C2 ⊆ Aut C5160C5:1(Q8:D4)320,365
C5⋊2(Q8⋊D4) = Q8⋊2D20φ: Q8⋊D4/Q8⋊C4 → C2 ⊆ Aut C5160C5:2(Q8:D4)320,433
C5⋊3(Q8⋊D4) = Dic10⋊17D4φ: Q8⋊D4/C4⋊D4 → C2 ⊆ Aut C5160C5:3(Q8:D4)320,667
C5⋊4(Q8⋊D4) = D10⋊8SD16φ: Q8⋊D4/C2×SD16 → C2 ⊆ Aut C5160C5:4(Q8:D4)320,797
C5⋊5(Q8⋊D4) = (C5×Q8)⋊13D4φ: Q8⋊D4/C22×Q8 → C2 ⊆ Aut C5160C5:5(Q8:D4)320,854


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