Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Dic₆

Direct product G=N×Q with N=C₃ and Q=C₂×Dic₆

		d	ρ	Label	ID
C₆×Dic₆		48		C6xDic6	144,158

Semidirect products G=N:Q with N=C₃ and Q=C₂×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×Dic₆) = S₃×Dic₆	φ: C₂×Dic₆/Dic₆ → C₂ ⊆ Aut C₃	48	4-	C3:1(C2xDic6)	144,137
C₃⋊₂(C₂×Dic₆) = C₂×C₃²⋊₂Q₈	φ: C₂×Dic₆/C₂×Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(C2xDic6)	144,152
C₃⋊₃(C₂×Dic₆) = C₂×C₃²⋊₄Q₈	φ: C₂×Dic₆/C₂×C₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C2xDic6)	144,168

Non-split extensions G=N.Q with N=C₃ and Q=C₂×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×Dic₆) = C₂×Dic₁₈	φ: C₂×Dic₆/C₂×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2xDic6)	144,37

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×Dic6