Extensions 1→N→G→Q→1 with N=C18 and Q=C3xC9

Direct product G=NxQ with N=C18 and Q=C3xC9
dρLabelID
C3xC9xC18486C3xC9xC18486,190

Semidirect products G=N:Q with N=C18 and Q=C3xC9
extensionφ:Q→Aut NdρLabelID
C18:1(C3xC9) = C18x3- 1+2φ: C3xC9/C9C3 ⊆ Aut C18162C18:1(C3xC9)486,195
C18:2(C3xC9) = C6xC9:C9φ: C3xC9/C32C3 ⊆ Aut C18486C18:2(C3xC9)486,192

Non-split extensions G=N.Q with N=C18 and Q=C3xC9
extensionφ:Q→Aut NdρLabelID
C18.1(C3xC9) = C2xC27oHe3φ: C3xC9/C9C3 ⊆ Aut C181623C18.1(C3xC9)486,209
C18.2(C3xC9) = C2xC27:C9φ: C3xC9/C32C3 ⊆ Aut C18549C18.2(C3xC9)486,82
C18.3(C3xC9) = C2xC92:3C3φ: C3xC9/C32C3 ⊆ Aut C18162C18.3(C3xC9)486,193
C18.4(C3xC9) = C6xC27:C3φ: C3xC9/C32C3 ⊆ Aut C18162C18.4(C3xC9)486,208
C18.5(C3xC9) = C2xC27:2C9central extension (φ=1)486C18.5(C3xC9)486,71
C18.6(C3xC9) = C2xC81:C3central extension (φ=1)1623C18.6(C3xC9)486,84

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