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⋊Dic396C3xQ8:Dic3288,399

Semidirect products G=N:Q with N=C3 and Q=Q8⋊Dic3
extensionφ:Q→Aut NdρLabelID
C3⋊(Q8⋊Dic3) = C6.GL2(𝔽3)φ: Q8⋊Dic3/C2×SL2(𝔽3)C2 ⊆ Aut C396C3:(Q8:Dic3)288,403

Non-split extensions G=N.Q with N=C3 and Q=Q8⋊Dic3
extensionφ:Q→Aut NdρLabelID
C3.(Q8⋊Dic3) = Q8⋊Dic9φ: Q8⋊Dic3/C2×SL2(𝔽3)C2 ⊆ Aut C3288C3.(Q8:Dic3)288,69

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