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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.56C24

Direct product G=N×Q with N=C7 and Q=C22.56C24
dρLabelID
C7×C22.56C24224C7xC2^2.56C2^4448,1345

Semidirect products G=N:Q with N=C7 and Q=C22.56C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.56C24) = C14.742- (1+4)φ: C22.56C24/C4⋊D4 → C2 ⊆ Aut C7224C7:1(C2^2.56C2^4)448,1074
C7⋊2(C22.56C24) = C14.262- (1+4)φ: C22.56C24/C22⋊Q8 → C2 ⊆ Aut C7224C7:2(C2^2.56C2^4)448,1100
C7⋊3(C22.56C24) = C14.692+ (1+4)φ: C22.56C24/C22.D4 → C2 ⊆ Aut C7224C7:3(C2^2.56C2^4)448,1120
C7⋊4(C22.56C24) = C42.145D14φ: C22.56C24/C4.4D4 → C2 ⊆ Aut C7224C7:4(C2^2.56C2^4)448,1137
C7⋊5(C22.56C24) = C42.158D14φ: C22.56C24/C42.C2 → C2 ⊆ Aut C7224C7:5(C2^2.56C2^4)448,1153


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