Extensions 1→N→G→Q→1 with N=C18 and Q=C3×C9

Direct product G=N×Q with N=C18 and Q=C3×C9

Semidirect products G=N:Q with N=C18 and Q=C3×C9
extensionφ:Q→Aut NdρLabelID
C181(C3×C9) = C18×3- 1+2φ: C3×C9/C9C3 ⊆ Aut C18162C18:1(C3xC9)486,195
C182(C3×C9) = C6×C9⋊C9φ: C3×C9/C32C3 ⊆ Aut C18486C18:2(C3xC9)486,192

Non-split extensions G=N.Q with N=C18 and Q=C3×C9
extensionφ:Q→Aut NdρLabelID
C18.1(C3×C9) = C2×C27○He3φ: C3×C9/C9C3 ⊆ Aut C181623C18.1(C3xC9)486,209
C18.2(C3×C9) = C2×C27⋊C9φ: C3×C9/C32C3 ⊆ Aut C18549C18.2(C3xC9)486,82
C18.3(C3×C9) = C2×C923C3φ: C3×C9/C32C3 ⊆ Aut C18162C18.3(C3xC9)486,193
C18.4(C3×C9) = C6×C27⋊C3φ: C3×C9/C32C3 ⊆ Aut C18162C18.4(C3xC9)486,208
C18.5(C3×C9) = C2×C272C9central extension (φ=1)486C18.5(C3xC9)486,71
C18.6(C3×C9) = C2×C81⋊C3central extension (φ=1)1623C18.6(C3xC9)486,84