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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.50C24

Direct product G=NxQ with N=C7 and Q=C22.50C24
dρLabelID
C7xC22.50C24224C7xC2^2.50C2^4448,1339

Semidirect products G=N:Q with N=C7 and Q=C22.50C24
extensionφ:Q→Aut NdρLabelID
C7:1(C22.50C24) = C42.98D14φ: C22.50C24/C42:C2 → C2 ⊆ Aut C7224C7:1(C2^2.50C2^4)448,986
C7:2(C22.50C24) = C42.106D14φ: C22.50C24/C4xD4 → C2 ⊆ Aut C7224C7:2(C2^2.50C2^4)448,995
C7:3(C22.50C24) = C42.122D14φ: C22.50C24/C4xQ8 → C2 ⊆ Aut C7224C7:3(C2^2.50C2^4)448,1021
C7:4(C22.50C24) = C42.135D14φ: C22.50C24/C4xQ8 → C2 ⊆ Aut C7224C7:4(C2^2.50C2^4)448,1037
C7:5(C22.50C24) = C14.232- 1+4φ: C22.50C24/C22:Q8 → C2 ⊆ Aut C7224C7:5(C2^2.50C2^4)448,1094
C7:6(C22.50C24) = C42.139D14φ: C22.50C24/C4.4D4 → C2 ⊆ Aut C7224C7:6(C2^2.50C2^4)448,1124
C7:7(C22.50C24) = C42.160D14φ: C22.50C24/C42:2C2 → C2 ⊆ Aut C7224C7:7(C2^2.50C2^4)448,1155
C7:8(C22.50C24) = C42.177D14φ: C22.50C24/C4:Q8 → C2 ⊆ Aut C7224C7:8(C2^2.50C2^4)448,1185


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