Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊D9

Direct product G=N×Q with N=C3 and Q=Q8⋊D9
dρLabelID
C3×Q8⋊D91444C3xQ8:D9432,246

Semidirect products G=N:Q with N=C3 and Q=Q8⋊D9
extensionφ:Q→Aut NdρLabelID
C3⋊(Q8⋊D9) = C32.3GL2(𝔽3)φ: Q8⋊D9/Q8⋊C9C2 ⊆ Aut C3216C3:(Q8:D9)432,256

Non-split extensions G=N.Q with N=C3 and Q=Q8⋊D9
extensionφ:Q→Aut NdρLabelID
C3.(Q8⋊D9) = Q8⋊D27φ: Q8⋊D9/Q8⋊C9C2 ⊆ Aut C32164+C3.(Q8:D9)432,38

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