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Extensions 1→N→G→Q→1 with N=C7 and Q=Q8⋊5D4

Direct product G=N×Q with N=C7 and Q=Q8⋊5D4
dρLabelID
C7×Q8⋊5D4224C7xQ8:5D4448,1331

Semidirect products G=N:Q with N=C7 and Q=Q8⋊5D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(Q8⋊5D4) = Dic14⋊23D4φ: Q8⋊5D4/C4×D4 → C2 ⊆ Aut C7224C7:1(Q8:5D4)448,1005
C7⋊2(Q8⋊5D4) = Q8⋊5D28φ: Q8⋊5D4/C4×Q8 → C2 ⊆ Aut C7224C7:2(Q8:5D4)448,1029
C7⋊3(Q8⋊5D4) = Dic14⋊19D4φ: Q8⋊5D4/C4⋊D4 → C2 ⊆ Aut C7224C7:3(Q8:5D4)448,1051
C7⋊4(Q8⋊5D4) = Dic14⋊22D4φ: Q8⋊5D4/C22⋊Q8 → C2 ⊆ Aut C7224C7:4(Q8:5D4)448,1086
C7⋊5(Q8⋊5D4) = Dic14⋊10D4φ: Q8⋊5D4/C4.4D4 → C2 ⊆ Aut C7224C7:5(Q8:5D4)448,1130
C7⋊6(Q8⋊5D4) = C14.452- 1+4φ: Q8⋊5D4/C22×Q8 → C2 ⊆ Aut C7224C7:6(Q8:5D4)448,1270
C7⋊7(Q8⋊5D4) = C14.1072- 1+4φ: Q8⋊5D4/C2×C4○D4 → C2 ⊆ Aut C7224C7:7(Q8:5D4)448,1284


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