Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xDic₆

Direct product G=NxQ with N=C₃ and Q=C₆xDic₆

		d	ρ	Label	ID
C₃xC₆xDic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=C₃ and Q=C₆xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xDic₆) = C₃xS₃xDic₆	φ: C₆xDic₆/C₃xDic₆ → C₂ ⊆ Aut C₃	48	4	C3:1(C6xDic6)	432,642
C₃:₂(C₆xDic₆) = C₆xC₃²:₂Q₈	φ: C₆xDic₆/C₆xDic₃ → C₂ ⊆ Aut C₃	48		C3:2(C6xDic6)	432,657
C₃:₃(C₆xDic₆) = C₆xC₃²:₄Q₈	φ: C₆xDic₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C6xDic6)	432,710

Non-split extensions G=N.Q with N=C₃ and Q=C₆xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆xDic₆) = C₆xDic₁₈	φ: C₆xDic₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C6xDic6)	432,340
C₃.₂(C₆xDic₆) = C₂xHe₃:₃Q₈	φ: C₆xDic₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.2(C6xDic6)	432,348
C₃.₃(C₆xDic₆) = C₂xC₃₆.C₆	φ: C₆xDic₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.3(C6xDic6)	432,352
C₃.₄(C₆xDic₆) = C₁₈xDic₆	central extension (φ=1)	144		C3.4(C6xDic6)	432,341

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