Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D16

Direct product G=N×Q with N=C3 and Q=C3×D16
dρLabelID
C32×D16144C3^2xD16288,329

Semidirect products G=N:Q with N=C3 and Q=C3×D16
extensionφ:Q→Aut NdρLabelID
C31(C3×D16) = C3×D48φ: C3×D16/C48C2 ⊆ Aut C3962C3:1(C3xD16)288,233
C32(C3×D16) = C3×C3⋊D16φ: C3×D16/C3×D8C2 ⊆ Aut C3484C3:2(C3xD16)288,260

Non-split extensions G=N.Q with N=C3 and Q=C3×D16
extensionφ:Q→Aut NdρLabelID
C3.(C3×D16) = C9×D16central extension (φ=1)1442C3.(C3xD16)288,61

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