Extensions 1→N→G→Q→1 with N=C7 and Q=Q8⋊D4

Direct product G=N×Q with N=C7 and Q=Q8⋊D4
dρLabelID
C7×Q8⋊D4224C7xQ8:D4448,856

Semidirect products G=N:Q with N=C7 and Q=Q8⋊D4
extensionφ:Q→Aut NdρLabelID
C71(Q8⋊D4) = Dic1414D4φ: Q8⋊D4/C22⋊C8C2 ⊆ Aut C7224C7:1(Q8:D4)448,272
C72(Q8⋊D4) = Q82D28φ: Q8⋊D4/Q8⋊C4C2 ⊆ Aut C7224C7:2(Q8:D4)448,340
C73(Q8⋊D4) = Dic1417D4φ: Q8⋊D4/C4⋊D4C2 ⊆ Aut C7224C7:3(Q8:D4)448,574
C74(Q8⋊D4) = Dic147D4φ: Q8⋊D4/C2×SD16C2 ⊆ Aut C7224C7:4(Q8:D4)448,704
C75(Q8⋊D4) = (C7×Q8)⋊13D4φ: Q8⋊D4/C22×Q8C2 ⊆ Aut C7224C7:5(Q8:D4)448,761


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