Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×Dic₁₂

Direct product G=N×Q with N=C₃ and Q=C₃×Dic₁₂

		d	ρ	Label	ID
C₃²×Dic₁₂		144		C3^2xDic12	432,468

Semidirect products G=N:Q with N=C₃ and Q=C₃×Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×Dic₁₂) = C₃×C₃²⋊₅Q₁₆	φ: C₃×Dic₁₂/C₃×C₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3xDic12)	432,484
C₃⋊₂(C₃×Dic₁₂) = C₃×C₃²⋊₃Q₁₆	φ: C₃×Dic₁₂/C₃×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xDic12)	432,424

Non-split extensions G=N.Q with N=C₃ and Q=C₃×Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×Dic₁₂) = C₃×Dic₃₆	φ: C₃×Dic₁₂/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(C3xDic12)	432,104
C₃.₂(C₃×Dic₁₂) = He₃⋊₄Q₁₆	φ: C₃×Dic₁₂/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	6-	C3.2(C3xDic12)	432,114
C₃.₃(C₃×Dic₁₂) = C₇₂.C₆	φ: C₃×Dic₁₂/C₃×C₂₄ → C₂ ⊆ Aut C₃	144	6-	C3.3(C3xDic12)	432,119
C₃.₄(C₃×Dic₁₂) = C₉×Dic₁₂	central extension (φ=1)	144	2	C3.4(C3xDic12)	432,113

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