Extensions 1→N→G→Q→1 with N=C7 and Q=D8:C22

Direct product G=NxQ with N=C7 and Q=D8:C22
dρLabelID
C7xD8:C221124C7xD8:C2^2448,1358

Semidirect products G=N:Q with N=C7 and Q=D8:C22
extensionφ:Q→Aut NdρLabelID
C7:1(D8:C22) = C56.9C23φ: D8:C22/C2xM4(2)C2 ⊆ Aut C71124C7:1(D8:C2^2)448,1201
C7:2(D8:C22) = D8:10D14φ: D8:C22/C4oD8C2 ⊆ Aut C71124C7:2(D8:C2^2)448,1221
C7:3(D8:C22) = SD16:D14φ: D8:C22/C8:C22C2 ⊆ Aut C71128-C7:3(D8:C2^2)448,1226
C7:4(D8:C22) = D56:C22φ: D8:C22/C8.C22C2 ⊆ Aut C71128+C7:4(D8:C2^2)448,1230
C7:5(D8:C22) = C28.C24φ: D8:C22/C2xC4oD4C2 ⊆ Aut C71124C7:5(D8:C2^2)448,1275


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