Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×C₁₈

Direct product G=N×Q with N=C₆ and Q=C₃×C₁₈

		d	ρ	Label	ID
C₃×C₆×C₁₈		324		C3xC6xC18	324,151

Semidirect products G=N:Q with N=C₆ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×C₁₈) = S₃×C₃×C₁₈	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6:(C3xC18)	324,137

Non-split extensions G=N.Q with N=C₆ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×C₁₈) = Dic₃×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₆	108		C6.(C3xC18)	324,91
C₆.₂(C₃×C₁₈) = C₄×C₃²⋊C₉	central extension (φ=1)	108		C6.2(C3xC18)	324,27
C₆.₃(C₃×C₁₈) = C₄×C₉⋊C₉	central extension (φ=1)	324		C6.3(C3xC18)	324,28
C₆.₄(C₃×C₁₈) = C₄×C₂₇⋊C₃	central extension (φ=1)	108	3	C6.4(C3xC18)	324,30
C₆.₅(C₃×C₁₈) = C₂²×C₃²⋊C₉	central extension (φ=1)	108		C6.5(C3xC18)	324,82
C₆.₆(C₃×C₁₈) = C₂²×C₉⋊C₉	central extension (φ=1)	324		C6.6(C3xC18)	324,83
C₆.₇(C₃×C₁₈) = C₂²×C₂₇⋊C₃	central extension (φ=1)	108		C6.7(C3xC18)	324,85

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