# Extensions 1→N→G→Q→1 with N=C7 and Q=C22.47C24

Direct product G=N×Q with N=C7 and Q=C22.47C24
dρLabelID
C7×C22.47C24224C7xC2^2.47C2^4448,1336

Semidirect products G=N:Q with N=C7 and Q=C22.47C24
extensionφ:Q→Aut NdρLabelID
C71(C22.47C24) = C14.112+ 1+4φ: C22.47C24/C2×C4⋊C4C2 ⊆ Aut C7224C7:1(C2^2.47C2^4)448,967
C72(C22.47C24) = C42.95D14φ: C22.47C24/C42⋊C2C2 ⊆ Aut C7224C7:2(C2^2.47C2^4)448,983
C73(C22.47C24) = C42.104D14φ: C22.47C24/C4×D4C2 ⊆ Aut C7224C7:3(C2^2.47C2^4)448,993
C74(C22.47C24) = C42.113D14φ: C22.47C24/C4×D4C2 ⊆ Aut C7224C7:4(C2^2.47C2^4)448,1011
C75(C22.47C24) = C42.119D14φ: C22.47C24/C4×D4C2 ⊆ Aut C7224C7:5(C2^2.47C2^4)448,1018
C76(C22.47C24) = C14.342+ 1+4φ: C22.47C24/C4⋊D4C2 ⊆ Aut C7224C7:6(C2^2.47C2^4)448,1054
C77(C22.47C24) = C14.432+ 1+4φ: C22.47C24/C4⋊D4C2 ⊆ Aut C7224C7:7(C2^2.47C2^4)448,1067
C78(C22.47C24) = C14.1152+ 1+4φ: C22.47C24/C4⋊D4C2 ⊆ Aut C7224C7:8(C2^2.47C2^4)448,1071
C79(C22.47C24) = C14.642+ 1+4φ: C22.47C24/C22.D4C2 ⊆ Aut C7224C7:9(C2^2.47C2^4)448,1114
C710(C22.47C24) = C42.153D14φ: C22.47C24/C42.C2C2 ⊆ Aut C7224C7:10(C2^2.47C2^4)448,1148
C711(C22.47C24) = C42.163D14φ: C22.47C24/C422C2C2 ⊆ Aut C7224C7:11(C2^2.47C2^4)448,1162

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