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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.32C24

Direct product G=N×Q with N=C7 and Q=C22.32C24
dρLabelID
C7×C22.32C24112C7xC2^2.32C2^4448,1321

Semidirect products G=N:Q with N=C7 and Q=C22.32C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.32C24) = C24.30D14φ: C22.32C24/C2×C22⋊C4 → C2 ⊆ Aut C7112C7:1(C2^2.32C2^4)448,947
C7⋊2(C22.32C24) = C42⋊17D14φ: C22.32C24/C4×D4 → C2 ⊆ Aut C7112C7:2(C2^2.32C2^4)448,1013
C7⋊3(C22.32C24) = C24.35D14φ: C22.32C24/C22≀C2 → C2 ⊆ Aut C7112C7:3(C2^2.32C2^4)448,1046
C7⋊4(C22.32C24) = C14.422+ 1+4φ: C22.32C24/C4⋊D4 → C2 ⊆ Aut C7112C7:4(C2^2.32C2^4)448,1066
C7⋊5(C22.32C24) = C14.462+ 1+4φ: C22.32C24/C4⋊D4 → C2 ⊆ Aut C7112C7:5(C2^2.32C2^4)448,1070
C7⋊6(C22.32C24) = C14.562+ 1+4φ: C22.32C24/C22⋊Q8 → C2 ⊆ Aut C7112C7:6(C2^2.32C2^4)448,1097
C7⋊7(C22.32C24) = C14.612+ 1+4φ: C22.32C24/C22.D4 → C2 ⊆ Aut C7112C7:7(C2^2.32C2^4)448,1110
C7⋊8(C22.32C24) = C42⋊20D14φ: C22.32C24/C4.4D4 → C2 ⊆ Aut C7112C7:8(C2^2.32C2^4)448,1131
C7⋊9(C22.32C24) = C42⋊23D14φ: C22.32C24/C42⋊2C2 → C2 ⊆ Aut C7112C7:9(C2^2.32C2^4)448,1157


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