Extensions 1→N→G→Q→1 with N=C32 and Q=C2xQ8

Direct product G=NxQ with N=C32 and Q=C2xQ8
dρLabelID
Q8xC3xC6144Q8xC3xC6144,180

Semidirect products G=N:Q with N=C32 and Q=C2xQ8
extensionφ:Q→Aut NdρLabelID
C32:(C2xQ8) = C2xPSU3(F2)φ: C2xQ8/C2Q8 ⊆ Aut C32188+C3^2:(C2xQ8)144,187
C32:2(C2xQ8) = S3xDic6φ: C2xQ8/C4C22 ⊆ Aut C32484-C3^2:2(C2xQ8)144,137
C32:3(C2xQ8) = Dic3.D6φ: C2xQ8/C4C22 ⊆ Aut C32244C3^2:3(C2xQ8)144,140
C32:4(C2xQ8) = C2xC32:2Q8φ: C2xQ8/C22C22 ⊆ Aut C3248C3^2:4(C2xQ8)144,152
C32:5(C2xQ8) = C6xDic6φ: C2xQ8/C2xC4C2 ⊆ Aut C3248C3^2:5(C2xQ8)144,158
C32:6(C2xQ8) = C2xC32:4Q8φ: C2xQ8/C2xC4C2 ⊆ Aut C32144C3^2:6(C2xQ8)144,168
C32:7(C2xQ8) = C3xS3xQ8φ: C2xQ8/Q8C2 ⊆ Aut C32484C3^2:7(C2xQ8)144,164
C32:8(C2xQ8) = Q8xC3:S3φ: C2xQ8/Q8C2 ⊆ Aut C3272C3^2:8(C2xQ8)144,174


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