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
C7⋊1(Q8⋊D4) = Dic14⋊14D4φ: Q8⋊D4/C22⋊C8 → C2 ⊆ Aut C7224C7:1(Q8:D4)448,272
C7⋊2(Q8⋊D4) = Q8⋊2D28φ: Q8⋊D4/Q8⋊C4 → C2 ⊆ Aut C7224C7:2(Q8:D4)448,340
C7⋊3(Q8⋊D4) = Dic14⋊17D4φ: Q8⋊D4/C4⋊D4 → C2 ⊆ Aut C7224C7:3(Q8:D4)448,574
C7⋊4(Q8⋊D4) = Dic14⋊7D4φ: Q8⋊D4/C2×SD16 → C2 ⊆ Aut C7224C7:4(Q8:D4)448,704
C7⋊5(Q8⋊D4) = (C7×Q8)⋊13D4φ: Q8⋊D4/C22×Q8 → C2 ⊆ Aut C7224C7:5(Q8:D4)448,761


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