Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=3_-¹⁺²

Direct product G=N×Q with N=C₂×C₆ and Q=3_-¹⁺²

		d	ρ	Label	ID
C₂×C₆×3_-¹⁺²		108		C2xC6xES-(3,1)	324,153

Semidirect products G=N:Q with N=C₂×C₆ and Q=3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁3_-¹⁺² = C₃×C₉⋊A₄	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₂×C₆	108		(C2xC6):1ES-(3,1)	324,127
(C₂×C₆)⋊₂3_-¹⁺² = C₃×C₃².A₄	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₂×C₆	54		(C2xC6):2ES-(3,1)	324,134

Non-split extensions G=N.Q with N=C₂×C₆ and Q=3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁3_-¹⁺² = C₆².₁₂C₃²	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₂×C₆	162		(C2xC6).1ES-(3,1)	324,48
(C₂×C₆).₂3_-¹⁺² = C₆².₁₆C₃²	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₂×C₆	108		(C2xC6).2ES-(3,1)	324,52
(C₂×C₆).₃3_-¹⁺² = C₆².₁₁C₃²	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₂×C₆	162		(C2xC6).3ES-(3,1)	324,47
(C₂×C₆).₄3_-¹⁺² = C₆²⋊C₉	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₂×C₆	54		(C2xC6).4ES-(3,1)	324,59
(C₂×C₆).₅3_-¹⁺² = C₂²×C₃²⋊C₉	central extension (φ=1)	108		(C2xC6).5ES-(3,1)	324,82
(C₂×C₆).₆3_-¹⁺² = C₂²×C₉⋊C₉	central extension (φ=1)	324		(C2xC6).6ES-(3,1)	324,83

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