Extensions 1→N→G→Q→1 with N=C3 and Q=C3×Q32

Direct product G=N×Q with N=C3 and Q=C3×Q32
dρLabelID
C32×Q32288C3^2xQ32288,331

Semidirect products G=N:Q with N=C3 and Q=C3×Q32
extensionφ:Q→Aut NdρLabelID
C31(C3×Q32) = C3×Dic24φ: C3×Q32/C48C2 ⊆ Aut C3962C3:1(C3xQ32)288,235
C32(C3×Q32) = C3×C3⋊Q32φ: C3×Q32/C3×Q16C2 ⊆ Aut C3964C3:2(C3xQ32)288,263

Non-split extensions G=N.Q with N=C3 and Q=C3×Q32
extensionφ:Q→Aut NdρLabelID
C3.(C3×Q32) = C9×Q32central extension (φ=1)2882C3.(C3xQ32)288,63

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