# Extensions 1→N→G→Q→1 with N=C33 and Q=D9

Direct product G=N×Q with N=C33 and Q=D9
dρLabelID
D9×C33162D9xC3^3486,220

Semidirect products G=N:Q with N=C33 and Q=D9
extensionφ:Q→Aut NdρLabelID
C331D9 = C331D9φ: D9/C3S3 ⊆ Aut C33186C3^3:1D9486,19
C332D9 = C332D9φ: D9/C3S3 ⊆ Aut C3327C3^3:2D9486,52
C333D9 = C3×C32⋊D9φ: D9/C3S3 ⊆ Aut C3354C3^3:3D9486,94
C334D9 = C3×C322D9φ: D9/C3S3 ⊆ Aut C3354C3^3:4D9486,135
C335D9 = C33⋊D9φ: D9/C3S3 ⊆ Aut C3381C3^3:5D9486,137
C336D9 = C336D9φ: D9/C3S3 ⊆ Aut C3354C3^3:6D9486,181
C337D9 = C32×C9⋊S3φ: D9/C9C2 ⊆ Aut C3354C3^3:7D9486,227
C338D9 = C3×C324D9φ: D9/C9C2 ⊆ Aut C33162C3^3:8D9486,240
C339D9 = C339D9φ: D9/C9C2 ⊆ Aut C33243C3^3:9D9486,247

Non-split extensions G=N.Q with N=C33 and Q=D9
extensionφ:Q→Aut NdρLabelID
C33.1D9 = C32⋊D27φ: D9/C3S3 ⊆ Aut C3381C3^3.1D9486,17
C33.2D9 = C322D27φ: D9/C3S3 ⊆ Aut C33546C3^3.2D9486,51
C33.3D9 = C33.D9φ: D9/C3S3 ⊆ Aut C33276+C3^3.3D9486,55
C33.4D9 = C3×C27⋊C6φ: D9/C3S3 ⊆ Aut C33546C3^3.4D9486,113
C33.5D9 = C33.5D9φ: D9/C3S3 ⊆ Aut C3381C3^3.5D9486,162
C33.6D9 = C32×D27φ: D9/C9C2 ⊆ Aut C33162C3^3.6D9486,111
C33.7D9 = C3×C27⋊S3φ: D9/C9C2 ⊆ Aut C33162C3^3.7D9486,160
C33.8D9 = C324D27φ: D9/C9C2 ⊆ Aut C33243C3^3.8D9486,184

׿
×
𝔽