Extensions 1→N→G→Q→1 with N=C7 and Q=C8⋊5D4

Direct product G=N×Q with N=C7 and Q=C8⋊5D4
dρLabelID
C7×C8⋊5D4224C7xC8:5D4448,900

Semidirect products G=N:Q with N=C7 and Q=C8⋊5D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C8⋊5D4) = C8⋊5D28φ: C8⋊5D4/C4×C8 → C2 ⊆ Aut C7224C7:1(C8:5D4)448,227
C7⋊2(C8⋊5D4) = C28⋊4SD16φ: C8⋊5D4/C4⋊1D4 → C2 ⊆ Aut C7224C7:2(C8:5D4)448,610
C7⋊3(C8⋊5D4) = C28⋊6SD16φ: C8⋊5D4/C4⋊Q8 → C2 ⊆ Aut C7224C7:3(C8:5D4)448,619
C7⋊4(C8⋊5D4) = C56⋊15D4φ: C8⋊5D4/C2×SD16 → C2 ⊆ Aut C7224C7:4(C8:5D4)448,709


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