# Extensions 1→N→G→Q→1 with N=C33 and Q=C18

Direct product G=N×Q with N=C33 and Q=C18
dρLabelID
C33×C18486C3^3xC18486,250

Semidirect products G=N:Q with N=C33 and Q=C18
extensionφ:Q→Aut NdρLabelID
C331C18 = C331C18φ: C18/C3C6 ⊆ Aut C33186C3^3:1C18486,18
C332C18 = C3×C32⋊C18φ: C18/C3C6 ⊆ Aut C3354C3^3:2C18486,93
C333C18 = S3×C32⋊C9φ: C18/C3C6 ⊆ Aut C3354C3^3:3C18486,95
C334C18 = C33⋊C18φ: C18/C3C6 ⊆ Aut C3354C3^3:4C18486,136
C335C18 = C2×C33⋊C9φ: C18/C6C3 ⊆ Aut C3354C3^3:5C18486,73
C336C18 = C6×C32⋊C9φ: C18/C6C3 ⊆ Aut C33162C3^3:6C18486,191
C337C18 = S3×C32×C9φ: C18/C9C2 ⊆ Aut C33162C3^3:7C18486,221
C338C18 = C3⋊S3×C3×C9φ: C18/C9C2 ⊆ Aut C3354C3^3:8C18486,228
C339C18 = C9×C33⋊C2φ: C18/C9C2 ⊆ Aut C33162C3^3:9C18486,241

Non-split extensions G=N.Q with N=C33 and Q=C18
extensionφ:Q→Aut NdρLabelID
C33.1C18 = C32⋊C54φ: C18/C3C6 ⊆ Aut C33546C3^3.1C18486,16
C33.2C18 = S3×C27⋊C3φ: C18/C3C6 ⊆ Aut C33546C3^3.2C18486,114
C33.3C18 = C2×C32⋊C27φ: C18/C6C3 ⊆ Aut C33162C3^3.3C18486,72
C33.4C18 = C2×C9.4He3φ: C18/C6C3 ⊆ Aut C33543C3^3.4C18486,76
C33.5C18 = C6×C27⋊C3φ: C18/C6C3 ⊆ Aut C33162C3^3.5C18486,208
C33.6C18 = S3×C3×C27φ: C18/C9C2 ⊆ Aut C33162C3^3.6C18486,112
C33.7C18 = C3⋊S3×C27φ: C18/C9C2 ⊆ Aut C33162C3^3.7C18486,161

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