Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₆.D₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₆.D₄

		d	ρ	Label	ID
C₃²×C₆.D₄		72		C3^2xC6.D4	432,479

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₆.D₄) = C₃×D₆⋊Dic₃	φ: C₃×C₆.D₄/C₆×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C3xC6.D4)	432,426
C₃⋊₂(C₃×C₆.D₄) = C₃×C₆²⋊₅C₄	φ: C₃×C₆.D₄/C₂×C₆² → C₂ ⊆ Aut C₃	72		C3:2(C3xC6.D4)	432,495

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₆.D₄) = C₃×C₁₈.D₄	φ: C₃×C₆.D₄/C₂×C₆² → C₂ ⊆ Aut C₃	72		C3.1(C3xC6.D4)	432,164
C₃.₂(C₃×C₆.D₄) = C₆²⋊₃C₁₂	φ: C₃×C₆.D₄/C₂×C₆² → C₂ ⊆ Aut C₃	72		C3.2(C3xC6.D4)	432,166
C₃.₃(C₃×C₆.D₄) = C₆².₂₇D₆	φ: C₃×C₆.D₄/C₂×C₆² → C₂ ⊆ Aut C₃	72		C3.3(C3xC6.D4)	432,167
C₃.₄(C₃×C₆.D₄) = C₉×C₆.D₄	central extension (φ=1)	72		C3.4(C3xC6.D4)	432,165

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