Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=C₁₈

Direct product G=N×Q with N=C₂²×C₆ and Q=C₁₈

		d	ρ	Label	ID
C₂²×C₆×C₁₈		432		C2^2xC6xC18	432,562

Semidirect products G=N:Q with N=C₂²×C₆ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊C₁₈ = C₂×S₃×C₃.A₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂²×C₆	36	6	(C2^2xC6):C18	432,541
(C₂²×C₆)⋊₂C₁₈ = C₂×C₆×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂²×C₆	108		(C2^2xC6):2C18	432,548
(C₂²×C₆)⋊₃C₁₈ = D₄×C₃×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6):3C18	432,403
(C₂²×C₆)⋊₄C₁₈ = C₁₈×C₃⋊D₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6):4C18	432,375
(C₂²×C₆)⋊₅C₁₈ = S₃×C₂²×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	144		(C2^2xC6):5C18	432,557

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).C₁₈ = Dic₃×C₃.A₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂²×C₆	36	6	(C2^2xC6).C18	432,271
(C₂²×C₆).₂C₁₈ = C₄×C₉.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂²×C₆	108	3	(C2^2xC6).2C18	432,40
(C₂²×C₆).₃C₁₈ = C₂²×C₉.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂²×C₆	108		(C2^2xC6).3C18	432,225
(C₂²×C₆).₄C₁₈ = C₁₂×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂²×C₆	108		(C2^2xC6).4C18	432,331
(C₂²×C₆).₅C₁₈ = C₂²⋊C₄×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).5C18	432,21
(C₂²×C₆).₆C₁₈ = D₄×C₅₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).6C18	432,54
(C₂²×C₆).₇C₁₈ = C₂²⋊C₄×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	216		(C2^2xC6).7C18	432,203
(C₂²×C₆).₈C₁₈ = C₉×C₆.D₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	72		(C2^2xC6).8C18	432,165
(C₂²×C₆).₉C₁₈ = Dic₃×C₂×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂²×C₆	144		(C2^2xC6).9C18	432,373

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