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Extensions 1→N→G→Q→1 with N=C7 and Q=Q8⋊6D4

Direct product G=N×Q with N=C7 and Q=Q8⋊6D4
dρLabelID
C7×Q8⋊6D4224C7xQ8:6D4448,1333

Semidirect products G=N:Q with N=C7 and Q=Q8⋊6D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(Q8⋊6D4) = Dic14⋊24D4φ: Q8⋊6D4/C4×D4 → C2 ⊆ Aut C7224C7:1(Q8:6D4)448,1006
C7⋊2(Q8⋊6D4) = Q8⋊6D28φ: Q8⋊6D4/C4×Q8 → C2 ⊆ Aut C7224C7:2(Q8:6D4)448,1030
C7⋊3(Q8⋊6D4) = Dic14⋊20D4φ: Q8⋊6D4/C4⋊D4 → C2 ⊆ Aut C7224C7:3(Q8:6D4)448,1052
C7⋊4(Q8⋊6D4) = Dic14⋊11D4φ: Q8⋊6D4/C4⋊1D4 → C2 ⊆ Aut C7224C7:4(Q8:6D4)448,1171
C7⋊5(Q8⋊6D4) = C14.1482+ 1+4φ: Q8⋊6D4/C2×C4○D4 → C2 ⊆ Aut C7224C7:5(Q8:6D4)448,1287


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