Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=3_-¹⁺²

Direct product G=NxQ with N=C₃xC₆ and Q=3_-¹⁺²

		d	ρ	Label	ID
C₃xC₆x3_-¹⁺²		162		C3xC6xES-(3,1)	486,252

Semidirect products G=N:Q with N=C₃xC₆ and Q=3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):₁3_-¹⁺² = C₂xC₉:He₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃xC₆	162		(C3xC6):1ES-(3,1)	486,198
(C₃xC₆):₂3_-¹⁺² = C₂xC₃⁴.C₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃xC₆	54		(C3xC6):2ES-(3,1)	486,197

Non-split extensions G=N.Q with N=C₃xC₆ and Q=3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁3_-¹⁺² = C₂xHe₃:C₉	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).1ES-(3,1)	486,77
(C₃xC₆).₂3_-¹⁺² = C₂x3_-¹⁺²:C₉	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).2ES-(3,1)	486,78
(C₃xC₆).₃3_-¹⁺² = C₂xC₉:3_-¹⁺²	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).3ES-(3,1)	486,200
(C₃xC₆).₄3_-¹⁺² = C₂xC₃³:C₉	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃xC₆	54		(C3xC6).4ES-(3,1)	486,73
(C₃xC₆).₅3_-¹⁺² = C₂xC₃².₁₉He₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).5ES-(3,1)	486,74
(C₃xC₆).₆3_-¹⁺² = C₂xC₃².₂₀He₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).6ES-(3,1)	486,75
(C₃xC₆).₇3_-¹⁺² = C₂xC₂₇:C₉	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃xC₆	54	9	(C3xC6).7ES-(3,1)	486,82
(C₃xC₆).₈3_-¹⁺² = C₂xC₃³.₃₁C₃²	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₃xC₆	162		(C3xC6).8ES-(3,1)	486,201
(C₃xC₆).₉3_-¹⁺² = C₂xC₃.C₉²	central extension (φ=1)	486		(C3xC6).9ES-(3,1)	486,62
(C₃xC₆).₁₀3_-¹⁺² = C₆xC₃²:C₉	central extension (φ=1)	162		(C3xC6).10ES-(3,1)	486,191
(C₃xC₆).₁₁3_-¹⁺² = C₆xC₉:C₉	central extension (φ=1)	486		(C3xC6).11ES-(3,1)	486,192

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