Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×C10

Direct product G=N×Q with N=C3 and Q=Q8×C10
dρLabelID
Q8×C30240Q8xC30240,187

Semidirect products G=N:Q with N=C3 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C31(Q8×C10) = C10×Dic6φ: Q8×C10/C2×C20C2 ⊆ Aut C3240C3:1(Q8xC10)240,165
C32(Q8×C10) = C5×S3×Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C31204C3:2(Q8xC10)240,171


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