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

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

		d	ρ	Label	ID
C₃×C₆²		108		C3xC6^2	108,45

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₆ = C₂×C₃²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₆	18	6+	(C3xC6):C6	108,25
(C₃×C₆)⋊₂C₆ = C₂²×He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₆	36		(C3xC6):2C6	108,30
(C₃×C₆)⋊₃C₆ = S₃×C₃×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₆	36		(C3xC6):3C6	108,42
(C₃×C₆)⋊₄C₆ = C₆×C₃⋊S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₆	36		(C3xC6):4C6	108,43

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).C₆ = C₃²⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₆	36	6-	(C3xC6).C6	108,8
(C₃×C₆).₂C₆ = C₄×He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₆	36	3	(C3xC6).2C6	108,13
(C₃×C₆).₃C₆ = C₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₆	36	3	(C3xC6).3C6	108,14
(C₃×C₆).₄C₆ = C₂²×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₆	36		(C3xC6).4C6	108,31
(C₃×C₆).₅C₆ = C₉×Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₆	36	2	(C3xC6).5C6	108,7
(C₃×C₆).₆C₆ = S₃×C₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₆	36	2	(C3xC6).6C6	108,24
(C₃×C₆).₇C₆ = C₃²×Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₆	36		(C3xC6).7C6	108,32
(C₃×C₆).₈C₆ = C₃×C₃⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₆	36		(C3xC6).8C6	108,33

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