Extensions 1→N→G→Q→1 with N=C₁₈ and Q=Dic₆

Direct product G=N×Q with N=C₁₈ and Q=Dic₆

		d	ρ	Label	ID
C₁₈×Dic₆		144		C18xDic6	432,341

Semidirect products G=N:Q with N=C₁₈ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁Dic₆ = C₂×C₉⋊Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18:1Dic6	432,303
C₁₈⋊₂Dic₆ = C₂×C₁₂.D₉	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18:2Dic6	432,380

Non-split extensions G=N.Q with N=C₁₈ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁Dic₆ = Dic₉⋊Dic₃	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18.1Dic6	432,88
C₁₈.₂Dic₆ = C₁₈.Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18.2Dic6	432,89
C₁₈.₃Dic₆ = Dic₃⋊Dic₉	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₈	144		C18.3Dic6	432,90
C₁₈.₄Dic₆ = Dic₂₇⋊C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.4Dic6	432,12
C₁₈.₅Dic₆ = C₄⋊Dic₂₇	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.5Dic6	432,13
C₁₈.₆Dic₆ = C₂×Dic₅₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.6Dic6	432,43
C₁₈.₇Dic₆ = C₆.Dic₁₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.7Dic6	432,181
C₁₈.₈Dic₆ = C₃₆⋊Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.8Dic6	432,182
C₁₈.₉Dic₆ = C₉×Dic₃⋊C₄	central extension (φ=1)	144		C18.9Dic6	432,132
C₁₈.₁₀Dic₆ = C₉×C₄⋊Dic₃	central extension (φ=1)	144		C18.10Dic6	432,133

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