Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₄

Direct product G=N×Q with N=C₃²×C₆ and Q=C₄

		d	ρ	Label	ID
C₃×C₆×C₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₃²×C₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆)⋊₁C₄ = C₆×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃²×C₆	24	4	(C3^2xC6):1C4	216,168
(C₃²×C₆)⋊₂C₄ = C₂×C₃³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃²×C₆	24	4	(C3^2xC6):2C4	216,169
(C₃²×C₆)⋊₃C₄ = Dic₃×C₃×C₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃²×C₆	72		(C3^2xC6):3C4	216,138
(C₃²×C₆)⋊₄C₄ = C₆×C₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃²×C₆	72		(C3^2xC6):4C4	216,143
(C₃²×C₆)⋊₅C₄ = C₂×C₃³⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃²×C₆	216		(C3^2xC6):5C4	216,148

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆).₁C₄ = C₃×C₃²⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃²×C₆	24	4	(C3^2xC6).1C4	216,117
(C₃²×C₆).₂C₄ = C₃³⋊₄C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃²×C₆	24	4	(C3^2xC6).2C4	216,118
(C₃²×C₆).₃C₄ = C₃²×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃²×C₆	72		(C3^2xC6).3C4	216,82
(C₃²×C₆).₄C₄ = C₃×C₃²⋊₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃²×C₆	72		(C3^2xC6).4C4	216,83
(C₃²×C₆).₅C₄ = C₃³⋊₇C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃²×C₆	216		(C3^2xC6).5C4	216,84

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