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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.29C24

Direct product G=N×Q with N=C7 and Q=C22.29C24
dρLabelID
C7×C22.29C24112C7xC2^2.29C2^4448,1318

Semidirect products G=N:Q with N=C7 and Q=C22.29C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.29C24) = C42⋊9D14φ: C22.29C24/C42⋊C2 → C2 ⊆ Aut C7112C7:1(C2^2.29C2^4)448,978
C7⋊2(C22.29C24) = C24.34D14φ: C22.29C24/C22≀C2 → C2 ⊆ Aut C7112C7:2(C2^2.29C2^4)448,1045
C7⋊3(C22.29C24) = C14.382+ 1+4φ: C22.29C24/C4⋊D4 → C2 ⊆ Aut C7112C7:3(C2^2.29C2^4)448,1060
C7⋊4(C22.29C24) = C42⋊18D14φ: C22.29C24/C4.4D4 → C2 ⊆ Aut C7112C7:4(C2^2.29C2^4)448,1127
C7⋊5(C22.29C24) = C42⋊26D14φ: C22.29C24/C4⋊1D4 → C2 ⊆ Aut C7112C7:5(C2^2.29C2^4)448,1168
C7⋊6(C22.29C24) = C24.41D14φ: C22.29C24/C22×D4 → C2 ⊆ Aut C7112C7:6(C2^2.29C2^4)448,1258
C7⋊7(C22.29C24) = C14.1462+ 1+4φ: C22.29C24/C2×C4○D4 → C2 ⊆ Aut C7112C7:7(C2^2.29C2^4)448,1283


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