Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₃²

Direct product G=N×Q with N=C₃×C₆ and Q=C₃²

		d	ρ	Label	ID
C₃³×C₆		162		C3^3xC6	162,55

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₃² = C₆×He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₆	54		(C3xC6):C3^2	162,48

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁C₃² = C₂×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₆	18	3	(C3xC6).1C3^2	162,28
(C₃×C₆).₂C₃² = C₂×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₆	54	3	(C3xC6).2C3^2	162,29
(C₃×C₆).₃C₃² = C₂×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₆	54	3	(C3xC6).3C3^2	162,30
(C₃×C₆).₄C₃² = C₂×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₆	54	3	(C3xC6).4C3^2	162,31
(C₃×C₆).₅C₃² = C₂×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₆	54	3	(C3xC6).5C3^2	162,50
(C₃×C₆).₆C₃² = C₂×C₃²⋊C₉	central extension (φ=1)	54		(C3xC6).6C3^2	162,24
(C₃×C₆).₇C₃² = C₂×C₉⋊C₉	central extension (φ=1)	162		(C3xC6).7C3^2	162,25
(C₃×C₆).₈C₃² = C₆×3_-¹⁺²	central extension (φ=1)	54		(C3xC6).8C3^2	162,49

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