Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=C₃²

Direct product G=N×Q with N=C₂²×C₆ and Q=C₃²

		d	ρ	Label	ID
C₆³		216		C6^3	216,177

Semidirect products G=N:Q with N=C₂²×C₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊C₃² = A₄×C₃×C₆	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₆	54		(C2^2xC6):C3^2	216,173

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).₁C₃² = A₄×C₁₈	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₆	54	3	(C2^2xC6).1C3^2	216,103
(C₂²×C₆).₂C₃² = C₂×C₉⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₆	54	3	(C2^2xC6).2C3^2	216,104
(C₂²×C₆).₃C₃² = C₆×C₃.A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₆	54		(C2^2xC6).3C3^2	216,105
(C₂²×C₆).₄C₃² = C₂×C₃².A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₆	18	3	(C2^2xC6).4C3^2	216,106
(C₂²×C₆).₅C₃² = C₂×C₃²⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₆	18	3	(C2^2xC6).5C3^2	216,107
(C₂²×C₆).₆C₃² = C₂³×He₃	central extension (φ=1)	72		(C2^2xC6).6C3^2	216,115
(C₂²×C₆).₇C₃² = C₂³×3_-¹⁺²	central extension (φ=1)	72		(C2^2xC6).7C3^2	216,116

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