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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₁₈ = C₉×C₂₄⋊C₂	φ: C₁₈/C₉ → C₂ ⊆ Out Dic₆	144	2	Dic6:1C18	432,111
Dic₆⋊₂C₁₈ = C₉×D₄.S₃	φ: C₁₈/C₉ → C₂ ⊆ Out Dic₆	72	4	Dic6:2C18	432,151
Dic₆⋊₃C₁₈ = C₉×D₄⋊₂S₃	φ: C₁₈/C₉ → C₂ ⊆ Out Dic₆	72	4	Dic6:3C18	432,359
Dic₆⋊₄C₁₈ = S₃×Q₈×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out Dic₆	144	4	Dic6:4C18	432,366
Dic₆⋊₅C₁₈ = C₉×C₄○D₁₂	φ: trivial image	72	2	Dic6:5C18	432,347

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₁₈ = C₉×Dic₁₂	φ: C₁₈/C₉ → C₂ ⊆ Out Dic₆	144	2	Dic6.1C18	432,113
Dic₆.₂C₁₈ = C₉×C₃⋊Q₁₆	φ: C₁₈/C₉ → C₂ ⊆ Out Dic₆	144	4	Dic6.2C18	432,159

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