Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×Dic₆

Direct product G=N×Q with N=C₃ and Q=C₆×Dic₆

		d	ρ	Label	ID
C₃×C₆×Dic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=C₃ and Q=C₆×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×Dic₆) = C₃×S₃×Dic₆	φ: C₆×Dic₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:1(C6xDic6)	432,642
C₃⋊₂(C₆×Dic₆) = C₆×C₃²⋊₂Q₈	φ: C₆×Dic₆/C₆×Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(C6xDic6)	432,657
C₃⋊₃(C₆×Dic₆) = C₆×C₃²⋊₄Q₈	φ: C₆×Dic₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C6xDic6)	432,710

Non-split extensions G=N.Q with N=C₃ and Q=C₆×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆×Dic₆) = C₆×Dic₁₈	φ: C₆×Dic₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C6xDic6)	432,340
C₃.₂(C₆×Dic₆) = C₂×He₃⋊₃Q₈	φ: C₆×Dic₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.2(C6xDic6)	432,348
C₃.₃(C₆×Dic₆) = C₂×C₃₆.C₆	φ: C₆×Dic₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.3(C6xDic6)	432,352
C₃.₄(C₆×Dic₆) = C₁₈×Dic₆	central extension (φ=1)	144		C3.4(C6xDic6)	432,341

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