Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×Dic₆

Direct product G=N×Q with N=C₃ and Q=C₄×Dic₆

		d	ρ	Label	ID
C₁₂×Dic₆		96		C12xDic6	288,639

Semidirect products G=N:Q with N=C₃ and Q=C₄×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×Dic₆) = C₄×C₃²⋊₂Q₈	φ: C₄×Dic₆/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C4xDic6)	288,565
C₃⋊₂(C₄×Dic₆) = Dic₃⋊₅Dic₆	φ: C₄×Dic₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C4xDic6)	288,485
C₃⋊₃(C₄×Dic₆) = Dic₃⋊₆Dic₆	φ: C₄×Dic₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:3(C4xDic6)	288,492
C₃⋊₄(C₄×Dic₆) = C₄×C₃²⋊₄Q₈	φ: C₄×Dic₆/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3:4(C4xDic6)	288,725
C₃⋊₅(C₄×Dic₆) = Dic₃×Dic₆	φ: C₄×Dic₆/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:5(C4xDic6)	288,490

Non-split extensions G=N.Q with N=C₃ and Q=C₄×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×Dic₆) = C₄×Dic₁₈	φ: C₄×Dic₆/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C4xDic6)	288,78

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