Extensions 1→N→G→Q→1 with N=C7 and Q=C22.57C24

Direct product G=NxQ with N=C7 and Q=C22.57C24
dρLabelID
C7xC22.57C24224C7xC2^2.57C2^4448,1346

Semidirect products G=N:Q with N=C7 and Q=C22.57C24
extensionφ:Q→Aut NdρLabelID
C7:1(C22.57C24) = C14.582+ 1+4φ: C22.57C24/C22:Q8C2 ⊆ Aut C7224C7:1(C2^2.57C2^4)448,1099
C7:2(C22.57C24) = C14.602+ 1+4φ: C22.57C24/C22.D4C2 ⊆ Aut C7224C7:2(C2^2.57C2^4)448,1104
C7:3(C22.57C24) = C42.140D14φ: C22.57C24/C4.4D4C2 ⊆ Aut C7224C7:3(C2^2.57C2^4)448,1125
C7:4(C22.57C24) = C42.157D14φ: C22.57C24/C42.C2C2 ⊆ Aut C7224C7:4(C2^2.57C2^4)448,1152
C7:5(C22.57C24) = C42.165D14φ: C22.57C24/C42:2C2C2 ⊆ Aut C7224C7:5(C2^2.57C2^4)448,1165
C7:6(C22.57C24) = C42.180D14φ: C22.57C24/C4:Q8C2 ⊆ Aut C7224C7:6(C2^2.57C2^4)448,1188


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