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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.34C24

Direct product G=NxQ with N=C7 and Q=C22.34C24
dρLabelID
C7xC22.34C24224C7xC2^2.34C2^4448,1323

Semidirect products G=N:Q with N=C7 and Q=C22.34C24
extensionφ:Q→Aut NdρLabelID
C7:1(C22.34C24) = C42.100D14φ: C22.34C24/C42:C2 → C2 ⊆ Aut C7224C7:1(C2^2.34C2^4)448,988
C7:2(C22.34C24) = C42.116D14φ: C22.34C24/C4xD4 → C2 ⊆ Aut C7224C7:2(C2^2.34C2^4)448,1015
C7:3(C22.34C24) = C14.442+ 1+4φ: C22.34C24/C4:D4 → C2 ⊆ Aut C7224C7:3(C2^2.34C2^4)448,1068
C7:4(C22.34C24) = C14.472+ 1+4φ: C22.34C24/C4:D4 → C2 ⊆ Aut C7224C7:4(C2^2.34C2^4)448,1072
C7:5(C22.34C24) = C14.662+ 1+4φ: C22.34C24/C22.D4 → C2 ⊆ Aut C7224C7:5(C2^2.34C2^4)448,1116
C7:6(C22.34C24) = C42.156D14φ: C22.34C24/C42.C2 → C2 ⊆ Aut C7224C7:6(C2^2.34C2^4)448,1151
C7:7(C22.34C24) = C42.168D14φ: C22.34C24/C4:1D4 → C2 ⊆ Aut C7224C7:7(C2^2.34C2^4)448,1172


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