Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃×C₉

Direct product G=N×Q with N=C₆ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₃×C₁₈		108		S3xC3xC18	324,137

Semidirect products G=N:Q with N=C₆ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(S₃×C₉) = C₁₈×C₃⋊S₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6:(S3xC9)	324,143

Non-split extensions G=N.Q with N=C₆ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃×C₉) = C₉×Dic₉	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	36	2	C6.1(S3xC9)	324,6
C₆.₂(S₃×C₉) = C₃²⋊C₃₆	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	36	6	C6.2(S3xC9)	324,7
C₆.₃(S₃×C₉) = C₉⋊C₃₆	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	36	6	C6.3(S3xC9)	324,9
C₆.₄(S₃×C₉) = D₉×C₁₈	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	36	2	C6.4(S3xC9)	324,61
C₆.₅(S₃×C₉) = C₂×C₃²⋊C₁₈	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	36	6	C6.5(S3xC9)	324,62
C₆.₆(S₃×C₉) = C₂×C₉⋊C₁₈	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	36	6	C6.6(S3xC9)	324,64
C₆.₇(S₃×C₉) = C₉×C₃⋊Dic₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6.7(S3xC9)	324,97
C₆.₈(S₃×C₉) = Dic₃×C₂₇	central extension (φ=1)	108	2	C6.8(S3xC9)	324,11
C₆.₉(S₃×C₉) = S₃×C₅₄	central extension (φ=1)	108	2	C6.9(S3xC9)	324,66
C₆.₁₀(S₃×C₉) = Dic₃×C₃×C₉	central extension (φ=1)	108		C6.10(S3xC9)	324,91

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