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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₁₈ = C₂×C₃²⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₆	36	6	(C3xC6):C18	324,62
(C₃×C₆)⋊₂C₁₈ = C₂²×C₃²⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₆	108		(C3xC6):2C18	324,82
(C₃×C₆)⋊₃C₁₈ = S₃×C₃×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₆	108		(C3xC6):3C18	324,137
(C₃×C₆)⋊₄C₁₈ = C₁₈×C₃⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₆	108		(C3xC6):4C18	324,143

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).C₁₈ = C₃²⋊C₃₆	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₆	36	6	(C3xC6).C18	324,7
(C₃×C₆).₂C₁₈ = C₄×C₃²⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₆	108		(C3xC6).2C18	324,27
(C₃×C₆).₃C₁₈ = C₄×C₂₇⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₆	108	3	(C3xC6).3C18	324,30
(C₃×C₆).₄C₁₈ = C₂²×C₂₇⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₆	108		(C3xC6).4C18	324,85
(C₃×C₆).₅C₁₈ = Dic₃×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₆	108	2	(C3xC6).5C18	324,11
(C₃×C₆).₆C₁₈ = S₃×C₅₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₆	108	2	(C3xC6).6C18	324,66
(C₃×C₆).₇C₁₈ = Dic₃×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₆	108		(C3xC6).7C18	324,91
(C₃×C₆).₈C₁₈ = C₉×C₃⋊Dic₃	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₆	108		(C3xC6).8C18	324,97

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