Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×D₉

Direct product G=N×Q with N=C₆ and Q=C₃×D₉

		d	ρ	Label	ID
D₉×C₃×C₆		108		D9xC3xC6	324,136

Semidirect products G=N:Q with N=C₆ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×D₉) = C₆×C₉⋊S₃	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6:(C3xD9)	324,142

Non-split extensions G=N.Q with N=C₆ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×D₉) = C₃²⋊Dic₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6.1(C3xD9)	324,8
C₆.₂(C₃×D₉) = C₃×Dic₂₇	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	108	2	C6.2(C3xD9)	324,10
C₆.₃(C₃×D₉) = C₂₇⋊C₁₂	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	108	6-	C6.3(C3xD9)	324,12
C₆.₄(C₃×D₉) = C₂×C₃²⋊D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	54		C6.4(C3xD9)	324,63
C₆.₅(C₃×D₉) = C₆×D₂₇	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	108	2	C6.5(C3xD9)	324,65
C₆.₆(C₃×D₉) = C₂×C₂₇⋊C₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	54	6+	C6.6(C3xD9)	324,67
C₆.₇(C₃×D₉) = C₃×C₉⋊Dic₃	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6.7(C3xD9)	324,96
C₆.₈(C₃×D₉) = C₉×Dic₉	central extension (φ=1)	36	2	C6.8(C3xD9)	324,6
C₆.₉(C₃×D₉) = D₉×C₁₈	central extension (φ=1)	36	2	C6.9(C3xD9)	324,61
C₆.₁₀(C₃×D₉) = C₃²×Dic₉	central extension (φ=1)	108		C6.10(C3xD9)	324,90

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