Extensions 1→N→G→Q→1 with N=C₆.D₆ and Q=C₆

Direct product G=N×Q with N=C₆.D₆ and Q=C₆

		d	ρ	Label	ID
C₆×C₆.D₆		48		C6xC6.D6	432,654

Semidirect products G=N:Q with N=C₆.D₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆⋊₁C₆ = C₃×D₆.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6:1C6	432,647
C₆.D₆⋊₂C₆ = C₃×D₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6:2C6	432,652
C₆.D₆⋊₃C₆ = C₃×Dic₃⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6:3C6	432,659
C₆.D₆⋊₄C₆ = C₃×S₃²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6:4C6	432,574
C₆.D₆⋊₅C₆ = S₃²×C₁₂	φ: trivial image	48	4	C6.D6:5C6	432,648

Non-split extensions G=N.Q with N=C₆.D₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆.₁C₆ = C₃×Dic₃.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6.1C6	432,645
C₆.D₆.₂C₆ = C₃×C₃⋊S₃.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6.2C6	432,575

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