Extensions 1→N→G→Q→1 with N=C3 and Q=C22.56C24

Direct product G=N×Q with N=C3 and Q=C22.56C24
dρLabelID
C3×C22.56C2496C3xC2^2.56C2^4192,1451

Semidirect products G=N:Q with N=C3 and Q=C22.56C24
extensionφ:Q→Aut NdρLabelID
C31(C22.56C24) = C6.492+ 1+4φ: C22.56C24/C4⋊D4C2 ⊆ Aut C396C3:1(C2^2.56C2^4)192,1180
C32(C22.56C24) = C6.592+ 1+4φ: C22.56C24/C22⋊Q8C2 ⊆ Aut C396C3:2(C2^2.56C2^4)192,1206
C33(C22.56C24) = C6.692+ 1+4φ: C22.56C24/C22.D4C2 ⊆ Aut C396C3:3(C2^2.56C2^4)192,1226
C34(C22.56C24) = C42.145D6φ: C22.56C24/C4.4D4C2 ⊆ Aut C396C3:4(C2^2.56C2^4)192,1243
C35(C22.56C24) = C42.158D6φ: C22.56C24/C42.C2C2 ⊆ Aut C396C3:5(C2^2.56C2^4)192,1259


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