Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₃×C₉

Direct product G=N×Q with N=C₂×C₆ and Q=C₃×C₉

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

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁(C₃×C₉) = A₄×C₃×C₉	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₂×C₆	108		(C2xC6):1(C3xC9)	324,126
(C₂×C₆)⋊₂(C₃×C₉) = C₃²×C₃.A₄	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₂×C₆	162		(C2xC6):2(C3xC9)	324,133

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁(C₃×C₉) = A₄×C₂₇	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₂×C₆	108	3	(C2xC6).1(C3xC9)	324,42
(C₂×C₆).₂(C₃×C₉) = C₂₇⋊A₄	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₂×C₆	108	3	(C2xC6).2(C3xC9)	324,43
(C₂×C₆).₃(C₃×C₉) = C₆².₁₁C₃²	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₂×C₆	162		(C2xC6).3(C3xC9)	324,47
(C₂×C₆).₄(C₃×C₉) = C₆².₁₆C₃²	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₂×C₆	108		(C2xC6).4(C3xC9)	324,52
(C₂×C₆).₅(C₃×C₉) = C₃×C₉.A₄	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₂×C₆	162		(C2xC6).5(C3xC9)	324,44
(C₂×C₆).₆(C₃×C₉) = C₆².C₉	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₂×C₆	54	3	(C2xC6).6(C3xC9)	324,45
(C₂×C₆).₇(C₃×C₉) = C₉×C₃.A₄	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₂×C₆	162		(C2xC6).7(C3xC9)	324,46
(C₂×C₆).₈(C₃×C₉) = C₆².₁₂C₃²	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₂×C₆	162		(C2xC6).8(C3xC9)	324,48
(C₂×C₆).₉(C₃×C₉) = C₆²⋊C₉	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₂×C₆	54		(C2xC6).9(C3xC9)	324,59
(C₂×C₆).₁₀(C₃×C₉) = C₂²×C₃²⋊C₉	central extension (φ=1)	108		(C2xC6).10(C3xC9)	324,82
(C₂×C₆).₁₁(C₃×C₉) = C₂²×C₉⋊C₉	central extension (φ=1)	324		(C2xC6).11(C3xC9)	324,83
(C₂×C₆).₁₂(C₃×C₉) = C₂²×C₂₇⋊C₃	central extension (φ=1)	108		(C2xC6).12(C3xC9)	324,85

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