Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×Dic3

Direct product G=N×Q with N=C3 and Q=Q8×Dic3
dρLabelID
C3×Q8×Dic396C3xQ8xDic3288,716

Semidirect products G=N:Q with N=C3 and Q=Q8×Dic3
extensionφ:Q→Aut NdρLabelID
C31(Q8×Dic3) = Dic3×Dic6φ: Q8×Dic3/C4×Dic3C2 ⊆ Aut C396C3:1(Q8xDic3)288,490
C32(Q8×Dic3) = C62.13C23φ: Q8×Dic3/C4⋊Dic3C2 ⊆ Aut C396C3:2(Q8xDic3)288,491
C33(Q8×Dic3) = Q8×C3⋊Dic3φ: Q8×Dic3/C6×Q8C2 ⊆ Aut C3288C3:3(Q8xDic3)288,802

Non-split extensions G=N.Q with N=C3 and Q=Q8×Dic3
extensionφ:Q→Aut NdρLabelID
C3.(Q8×Dic3) = Q8×Dic9φ: Q8×Dic3/C6×Q8C2 ⊆ Aut C3288C3.(Q8xDic3)288,155

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