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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.54C24

Direct product G=N×Q with N=C7 and Q=C22.54C24
dρLabelID
C7×C22.54C24112C7xC2^2.54C2^4448,1343

Semidirect products G=N:Q with N=C7 and Q=C22.54C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.54C24) = C24.36D14φ: C22.54C24/C22≀C2 → C2 ⊆ Aut C7112C7:1(C2^2.54C2^4)448,1048
C7⋊2(C22.54C24) = C14.482+ 1+4φ: C22.54C24/C4⋊D4 → C2 ⊆ Aut C7112C7:2(C2^2.54C2^4)448,1073
C7⋊3(C22.54C24) = C14.682+ 1+4φ: C22.54C24/C22.D4 → C2 ⊆ Aut C7112C7:3(C2^2.54C2^4)448,1119
C7⋊4(C22.54C24) = C42⋊25D14φ: C22.54C24/C42⋊2C2 → C2 ⊆ Aut C7112C7:4(C2^2.54C2^4)448,1164
C7⋊5(C22.54C24) = C42⋊28D14φ: C22.54C24/C4⋊1D4 → C2 ⊆ Aut C7112C7:5(C2^2.54C2^4)448,1173


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