Extensions 1→N→G→Q→1 with N=C7 and Q=C22.35C24

Direct product G=NxQ with N=C7 and Q=C22.35C24
dρLabelID
C7xC22.35C24224C7xC2^2.35C2^4448,1324

Semidirect products G=N:Q with N=C7 and Q=C22.35C24
extensionφ:Q→Aut NdρLabelID
C7:1(C22.35C24) = C42.89D14φ: C22.35C24/C42:C2C2 ⊆ Aut C7224C7:1(C2^2.35C2^4)448,971
C7:2(C22.35C24) = C42.134D14φ: C22.35C24/C4xQ8C2 ⊆ Aut C7224C7:2(C2^2.35C2^4)448,1036
C7:3(C22.35C24) = C14.152- 1+4φ: C22.35C24/C22:Q8C2 ⊆ Aut C7224C7:3(C2^2.35C2^4)448,1078
C7:4(C22.35C24) = C42.154D14φ: C22.35C24/C42.C2C2 ⊆ Aut C7224C7:4(C2^2.35C2^4)448,1149
C7:5(C22.35C24) = C42.155D14φ: C22.35C24/C42.C2C2 ⊆ Aut C7224C7:5(C2^2.35C2^4)448,1150
C7:6(C22.35C24) = C42.159D14φ: C22.35C24/C42:2C2C2 ⊆ Aut C7224C7:6(C2^2.35C2^4)448,1154
C7:7(C22.35C24) = C42.176D14φ: C22.35C24/C4:Q8C2 ⊆ Aut C7224C7:7(C2^2.35C2^4)448,1184


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