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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.45C24

Direct product G=N×Q with N=C7 and Q=C22.45C24
dρLabelID
C7×C22.45C24112C7xC2^2.45C2^4448,1334

Semidirect products G=N:Q with N=C7 and Q=C22.45C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.45C24) = C24.31D14φ: C22.45C24/C2×C22⋊C4 → C2 ⊆ Aut C7112C7:1(C2^2.45C2^4)448,948
C7⋊2(C22.45C24) = C42⋊10D14φ: C22.45C24/C42⋊C2 → C2 ⊆ Aut C7112C7:2(C2^2.45C2^4)448,980
C7⋊3(C22.45C24) = C42⋊16D14φ: C22.45C24/C4×D4 → C2 ⊆ Aut C7112C7:3(C2^2.45C2^4)448,1009
C7⋊4(C22.45C24) = C24.32D14φ: C22.45C24/C22≀C2 → C2 ⊆ Aut C7112C7:4(C2^2.45C2^4)448,1040
C7⋊5(C22.45C24) = C14.532+ 1+4φ: C22.45C24/C22⋊Q8 → C2 ⊆ Aut C7112C7:5(C2^2.45C2^4)448,1090
C7⋊6(C22.45C24) = C14.1222+ 1+4φ: C22.45C24/C22.D4 → C2 ⊆ Aut C7112C7:6(C2^2.45C2^4)448,1111
C7⋊7(C22.45C24) = C14.622+ 1+4φ: C22.45C24/C22.D4 → C2 ⊆ Aut C7112C7:7(C2^2.45C2^4)448,1112
C7⋊8(C22.45C24) = C42⋊21D14φ: C22.45C24/C4.4D4 → C2 ⊆ Aut C7112C7:8(C2^2.45C2^4)448,1132
C7⋊9(C22.45C24) = C42⋊24D14φ: C22.45C24/C42⋊2C2 → C2 ⊆ Aut C7112C7:9(C2^2.45C2^4)448,1158


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