Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₃×C₆

Direct product G=N×Q with N=C₁₈ and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₆×C₁₈		324		C3xC6xC18	324,151

Semidirect products G=N:Q with N=C₁₈ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊(C₃×C₆) = C₆×C₉⋊C₆	φ: C₃×C₆/C₃ → C₆ ⊆ Aut C₁₈	36	6	C18:(C3xC6)	324,140
C₁₈⋊₂(C₃×C₆) = C₂×C₆×3_-¹⁺²	φ: C₃×C₆/C₆ → C₃ ⊆ Aut C₁₈	108		C18:2(C3xC6)	324,153
C₁₈⋊₃(C₃×C₆) = D₉×C₃×C₆	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₈	108		C18:3(C3xC6)	324,136

Non-split extensions G=N.Q with N=C₁₈ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.(C₃×C₆) = C₃×C₉⋊C₁₂	φ: C₃×C₆/C₃ → C₆ ⊆ Aut C₁₈	36	6	C18.(C3xC6)	324,94
C₁₈.₂(C₃×C₆) = C₁₂×3_-¹⁺²	φ: C₃×C₆/C₆ → C₃ ⊆ Aut C₁₈	108		C18.2(C3xC6)	324,107
C₁₈.₃(C₃×C₆) = C₄×C₉○He₃	φ: C₃×C₆/C₆ → C₃ ⊆ Aut C₁₈	108	3	C18.3(C3xC6)	324,108
C₁₈.₄(C₃×C₆) = C₃²×Dic₉	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₈	108		C18.4(C3xC6)	324,90
C₁₈.₅(C₃×C₆) = C₄×C₂₇⋊C₃	central extension (φ=1)	108	3	C18.5(C3xC6)	324,30
C₁₈.₆(C₃×C₆) = C₂²×C₂₇⋊C₃	central extension (φ=1)	108		C18.6(C3xC6)	324,85
C₁₈.₇(C₃×C₆) = C₂²×C₉○He₃	central extension (φ=1)	108		C18.7(C3xC6)	324,154

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