Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=3_-¹⁺²

Direct product G=N×Q with N=C₃×C₆ and Q=3_-¹⁺²

		d	ρ	Label	ID
C₃×C₆×3_-¹⁺²		162		C3xC6xES-(3,1)	486,252

Semidirect products G=N:Q with N=C₃×C₆ and Q=3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁3_-¹⁺² = C₂×C₉⋊He₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6):1ES-(3,1)	486,198
(C₃×C₆)⋊₂3_-¹⁺² = C₂×C₃⁴.C₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃×C₆	54		(C3xC6):2ES-(3,1)	486,197

Non-split extensions G=N.Q with N=C₃×C₆ and Q=3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁3_-¹⁺² = C₂×He₃⋊C₉	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).1ES-(3,1)	486,77
(C₃×C₆).₂3_-¹⁺² = C₂×3_-¹⁺²⋊C₉	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).2ES-(3,1)	486,78
(C₃×C₆).₃3_-¹⁺² = C₂×C₉⋊3_-¹⁺²	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).3ES-(3,1)	486,200
(C₃×C₆).₄3_-¹⁺² = C₂×C₃³⋊C₉	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃×C₆	54		(C3xC6).4ES-(3,1)	486,73
(C₃×C₆).₅3_-¹⁺² = C₂×C₃².₁₉He₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).5ES-(3,1)	486,74
(C₃×C₆).₆3_-¹⁺² = C₂×C₃².₂₀He₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).6ES-(3,1)	486,75
(C₃×C₆).₇3_-¹⁺² = C₂×C₂₇⋊C₉	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃×C₆	54	9	(C3xC6).7ES-(3,1)	486,82
(C₃×C₆).₈3_-¹⁺² = C₂×C₃³.₃₁C₃²	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).8ES-(3,1)	486,201
(C₃×C₆).₉3_-¹⁺² = C₂×C₃.C₉²	central extension (φ=1)	486		(C3xC6).9ES-(3,1)	486,62
(C₃×C₆).₁₀3_-¹⁺² = C₆×C₃²⋊C₉	central extension (φ=1)	162		(C3xC6).10ES-(3,1)	486,191
(C₃×C₆).₁₁3_-¹⁺² = C₆×C₉⋊C₉	central extension (φ=1)	486		(C3xC6).11ES-(3,1)	486,192

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