Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₁₈

Direct product G=NxQ with N=C₆ and Q=Dic₁₈

		d	ρ	Label	ID
C₆xDic₁₈		144		C6xDic18	432,340

Semidirect products G=N:Q with N=C₆ and Q=Dic₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁Dic₁₈ = C₂xC₉:Dic₆	φ: Dic₁₈/Dic₉ → C₂ ⊆ Aut C₆	144		C6:1Dic18	432,303
C₆:₂Dic₁₈ = C₂xC₁₂.D₉	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6:2Dic18	432,380

Non-split extensions G=N.Q with N=C₆ and Q=Dic₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₁₈ = Dic₉:Dic₃	φ: Dic₁₈/Dic₉ → C₂ ⊆ Aut C₆	144		C6.1Dic18	432,88
C₆.₂Dic₁₈ = C₁₈.Dic₆	φ: Dic₁₈/Dic₉ → C₂ ⊆ Aut C₆	144		C6.2Dic18	432,89
C₆.₃Dic₁₈ = Dic₃:Dic₉	φ: Dic₁₈/Dic₉ → C₂ ⊆ Aut C₆	144		C6.3Dic18	432,90
C₆.₄Dic₁₈ = Dic₂₇:C₄	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.4Dic18	432,12
C₆.₅Dic₁₈ = C₄:Dic₂₇	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.5Dic18	432,13
C₆.₆Dic₁₈ = C₂xDic₅₄	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.6Dic18	432,43
C₆.₇Dic₁₈ = C₆.Dic₁₈	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.7Dic18	432,181
C₆.₈Dic₁₈ = C₃₆:Dic₃	φ: Dic₁₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.8Dic18	432,182
C₆.₉Dic₁₈ = C₃xDic₉:C₄	central extension (φ=1)	144		C6.9Dic18	432,129
C₆.₁₀Dic₁₈ = C₃xC₄:Dic₉	central extension (φ=1)	144		C6.10Dic18	432,130

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