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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.26C24

Direct product G=N×Q with N=C7 and Q=C22.26C24
dρLabelID
C7×C22.26C24224C7xC2^2.26C2^4448,1315

Semidirect products G=N:Q with N=C7 and Q=C22.26C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.26C24) = C42.276D14φ: C22.26C24/C2×C42 → C2 ⊆ Aut C7224C7:1(C2^2.26C2^4)448,930
C7⋊2(C22.26C24) = C42.228D14φ: C22.26C24/C4×D4 → C2 ⊆ Aut C7224C7:2(C2^2.26C2^4)448,1001
C7⋊3(C22.26C24) = C28⋊(C4○D4)φ: C22.26C24/C4⋊D4 → C2 ⊆ Aut C7224C7:3(C2^2.26C2^4)448,1049
C7⋊4(C22.26C24) = C42.233D14φ: C22.26C24/C4.4D4 → C2 ⊆ Aut C7224C7:4(C2^2.26C2^4)448,1121
C7⋊5(C22.26C24) = C42.238D14φ: C22.26C24/C4⋊1D4 → C2 ⊆ Aut C7224C7:5(C2^2.26C2^4)448,1169
C7⋊6(C22.26C24) = C42.240D14φ: C22.26C24/C4⋊Q8 → C2 ⊆ Aut C7224C7:6(C2^2.26C2^4)448,1178
C7⋊7(C22.26C24) = (C2×C28)⋊17D4φ: C22.26C24/C2×C4○D4 → C2 ⊆ Aut C7224C7:7(C2^2.26C2^4)448,1285


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