Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₃₁D₆

Direct product G=N×Q with N=C₃ and Q=C₁₂.₃₁D₆

		d	ρ	Label	ID
C₃×C₁₂.₃₁D₆		48	4	C3xC12.31D6	432,417

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₃₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₃₁D₆) = C₃³⋊₉M₄(2)	φ: C₁₂.₃₁D₆/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	72		C3:1(C12.31D6)	432,435
C₃⋊₂(C₁₂.₃₁D₆) = C₃³⋊₁₀M₄(2)	φ: C₁₂.₃₁D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C12.31D6)	432,456

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₃₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₁₂.₃₁D₆) = C₃₆.₄₀D₆	φ: C₁₂.₃₁D₆/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	72	4	C3.1(C12.31D6)	432,61
C₃.₂(C₁₂.₃₁D₆) = He₃⋊₃M₄(2)	φ: C₁₂.₃₁D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	72	6	C3.2(C12.31D6)	432,82

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.31D6