Extensions 1→N→G→Q→1 with N=C7 and Q=C22.19C24

Direct product G=NxQ with N=C7 and Q=C22.19C24
dρLabelID
C7xC22.19C24112C7xC2^2.19C2^4448,1308

Semidirect products G=N:Q with N=C7 and Q=C22.19C24
extensionφ:Q→Aut NdρLabelID
C7:1(C22.19C24) = C42:8D14φ: C22.19C24/C42:C2C2 ⊆ Aut C7112C7:1(C2^2.19C2^4)448,977
C7:2(C22.19C24) = C42:12D14φ: C22.19C24/C4xD4C2 ⊆ Aut C7112C7:2(C2^2.19C2^4)448,1000
C7:3(C22.19C24) = C24.56D14φ: C22.19C24/C22wrC2C2 ⊆ Aut C7112C7:3(C2^2.19C2^4)448,1039
C7:4(C22.19C24) = C4:C4:21D14φ: C22.19C24/C4:D4C2 ⊆ Aut C7112C7:4(C2^2.19C2^4)448,1059
C7:5(C22.19C24) = C4:C4:26D14φ: C22.19C24/C22:Q8C2 ⊆ Aut C7112C7:5(C2^2.19C2^4)448,1080
C7:6(C22.19C24) = C4:C4:28D14φ: C22.19C24/C22.D4C2 ⊆ Aut C7112C7:6(C2^2.19C2^4)448,1109
C7:7(C22.19C24) = C24.72D14φ: C22.19C24/C23xC4C2 ⊆ Aut C7112C7:7(C2^2.19C2^4)448,1244
C7:8(C22.19C24) = (C2xC28):15D4φ: C22.19C24/C2xC4oD4C2 ⊆ Aut C7112C7:8(C2^2.19C2^4)448,1281


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