Extensions 1→N→G→Q→1 with N=C18 and Q=He3

Direct product G=N×Q with N=C18 and Q=He3
dρLabelID
C18×He3162C18xHe3486,194

Semidirect products G=N:Q with N=C18 and Q=He3
extensionφ:Q→Aut NdρLabelID
C18⋊He3 = C2×C9⋊He3φ: He3/C32C3 ⊆ Aut C18162C18:He3486,198

Non-split extensions G=N.Q with N=C18 and Q=He3
extensionφ:Q→Aut NdρLabelID
C18.He3 = C2×C9.2He3φ: He3/C32C3 ⊆ Aut C18549C18.He3486,219
C18.2He3 = C2×C32⋊C27central extension (φ=1)162C18.2He3486,72
C18.3He3 = C2×C9.4He3central extension (φ=1)543C18.3He3486,76
C18.4He3 = C2×C9.5He3central extension (φ=1)1623C18.4He3486,79
C18.5He3 = C2×C9.6He3central extension (φ=1)1623C18.5He3486,80
C18.6He3 = C2×C9.He3central extension (φ=1)543C18.6He3486,214

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