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Extensions 1→N→G→Q→1 with N=C7 and Q=C8.C22

Direct product G=NxQ with N=C7 and Q=C8.C22
dρLabelID
C7xC8.C221124C7xC8.C2^2224,172

Semidirect products G=N:Q with N=C7 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C7:1(C8.C22) = C8.D14φ: C8.C22/M4(2) → C2 ⊆ Aut C71124-C7:1(C8.C2^2)224,104
C7:2(C8.C22) = SD16:D7φ: C8.C22/SD16 → C2 ⊆ Aut C71124-C7:2(C8.C2^2)224,110
C7:3(C8.C22) = Q16:D7φ: C8.C22/Q16 → C2 ⊆ Aut C71124C7:3(C8.C2^2)224,113
C7:4(C8.C22) = C28.C23φ: C8.C22/C2xQ8 → C2 ⊆ Aut C71124C7:4(C8.C2^2)224,137
C7:5(C8.C22) = D4.9D14φ: C8.C22/C4oD4 → C2 ⊆ Aut C71124-C7:5(C8.C2^2)224,146


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