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

Direct product G=N×Q with N=C₁₈ and Q=He₃

		d	ρ	Label	ID
C₁₈×He₃		162		C18xHe3	486,194

Semidirect products G=N:Q with N=C₁₈ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊He₃ = C₂×C₉⋊He₃	φ: He₃/C₃² → C₃ ⊆ Aut C₁₈	162		C18:He3	486,198

Non-split extensions G=N.Q with N=C₁₈ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.He₃ = C₂×C₉.₂He₃	φ: He₃/C₃² → C₃ ⊆ Aut C₁₈	54	9	C18.He3	486,219
C₁₈.₂He₃ = C₂×C₃²⋊C₂₇	central extension (φ=1)	162		C18.2He3	486,72
C₁₈.₃He₃ = C₂×C₉.₄He₃	central extension (φ=1)	54	3	C18.3He3	486,76
C₁₈.₄He₃ = C₂×C₉.₅He₃	central extension (φ=1)	162	3	C18.4He3	486,79
C₁₈.₅He₃ = C₂×C₉.₆He₃	central extension (φ=1)	162	3	C18.5He3	486,80
C₁₈.₆He₃ = C₂×C₉.He₃	central extension (φ=1)	54	3	C18.6He3	486,214

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