Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃×C₂×C₆

Direct product G=N×Q with N=C₃ and Q=Dic₃×C₂×C₆

		d	ρ	Label	ID
Dic₃×C₆²		144		Dic3xC6^2	432,708

Semidirect products G=N:Q with N=C₃ and Q=Dic₃×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃×C₂×C₆) = S₃×C₆×Dic₃	φ: Dic₃×C₂×C₆/C₆×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(Dic3xC2xC6)	432,651
C₃⋊₂(Dic₃×C₂×C₆) = C₂×C₆×C₃⋊Dic₃	φ: Dic₃×C₂×C₆/C₂×C₆² → C₂ ⊆ Aut C₃	144		C3:2(Dic3xC2xC6)	432,718

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃×C₂×C₆) = C₂×C₆×Dic₉	φ: Dic₃×C₂×C₆/C₂×C₆² → C₂ ⊆ Aut C₃	144		C3.1(Dic3xC2xC6)	432,372
C₃.₂(Dic₃×C₂×C₆) = C₂²×C₃²⋊C₁₂	φ: Dic₃×C₂×C₆/C₂×C₆² → C₂ ⊆ Aut C₃	144		C3.2(Dic3xC2xC6)	432,376
C₃.₃(Dic₃×C₂×C₆) = C₂²×C₉⋊C₁₂	φ: Dic₃×C₂×C₆/C₂×C₆² → C₂ ⊆ Aut C₃	144		C3.3(Dic3xC2xC6)	432,378
C₃.₄(Dic₃×C₂×C₆) = Dic₃×C₂×C₁₈	central extension (φ=1)	144		C3.4(Dic3xC2xC6)	432,373

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