Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=C₆

Direct product G=N×Q with N=S₃×C₆ and Q=C₆

		d	ρ	Label	ID
S₃×C₆²		72		S3xC6^2	216,174

Semidirect products G=N:Q with N=S₃×C₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₆ = C₃×D₆⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6):1C6	216,121
(S₃×C₆)⋊₂C₆ = C₃×C₃⋊D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6):2C6	216,122
(S₃×C₆)⋊₃C₆ = C₃²×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	72		(S3xC6):3C6	216,137
(S₃×C₆)⋊₄C₆ = C₃²×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	36		(S3xC6):4C6	216,139
(S₃×C₆)⋊₅C₆ = S₃²×C₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6):5C6	216,170

Non-split extensions G=N.Q with N=S₃×C₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁C₆ = C₉×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	72	2	(S3xC6).1C6	216,48
(S₃×C₆).₂C₆ = C₉×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	36	2	(S3xC6).2C6	216,58
(S₃×C₆).₃C₆ = C₃×S₃×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6).3C6	216,119
(S₃×C₆).₄C₆ = S₃×C₃₆	φ: trivial image	72	2	(S3xC6).4C6	216,47
(S₃×C₆).₅C₆ = S₃×C₂×C₁₈	φ: trivial image	72		(S3xC6).5C6	216,109
(S₃×C₆).₆C₆ = S₃×C₃×C₁₂	φ: trivial image	72		(S3xC6).6C6	216,136

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