Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×Dic5

Direct product G=N×Q with N=C3 and Q=Q8×Dic5
dρLabelID
C3×Q8×Dic5480C3xQ8xDic5480,738

Semidirect products G=N:Q with N=C3 and Q=Q8×Dic5
extensionφ:Q→Aut NdρLabelID
C31(Q8×Dic5) = Dic5×Dic6φ: Q8×Dic5/C4×Dic5C2 ⊆ Aut C3480C3:1(Q8xDic5)480,408
C32(Q8×Dic5) = Dic157Q8φ: Q8×Dic5/C4⋊Dic5C2 ⊆ Aut C3480C3:2(Q8xDic5)480,420
C33(Q8×Dic5) = Q8×Dic15φ: Q8×Dic5/Q8×C10C2 ⊆ Aut C3480C3:3(Q8xDic5)480,910


׿
×
𝔽