Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄⋊Dic₃

Direct product G=N×Q with N=C₃ and Q=C₃×C₄⋊Dic₃

		d	ρ	Label	ID
C₃²×C₄⋊Dic₃		144		C3^2xC4:Dic3	432,473

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄⋊Dic₃) = C₃×Dic₃⋊Dic₃	φ: C₃×C₄⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C3xC4:Dic3)	432,428
C₃⋊₂(C₃×C₄⋊Dic₃) = C₃×C₁₂⋊Dic₃	φ: C₃×C₄⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3:2(C3xC4:Dic3)	432,489

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₄⋊Dic₃) = C₃×C₄⋊Dic₉	φ: C₃×C₄⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C3xC4:Dic3)	432,130
C₃.₂(C₃×C₄⋊Dic₃) = C₆².₂₀D₆	φ: C₃×C₄⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.2(C3xC4:Dic3)	432,140
C₃.₃(C₃×C₄⋊Dic₃) = C₃₆⋊C₁₂	φ: C₃×C₄⋊Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	144		C3.3(C3xC4:Dic3)	432,146
C₃.₄(C₃×C₄⋊Dic₃) = C₉×C₄⋊Dic₃	central extension (φ=1)	144		C3.4(C3xC4:Dic3)	432,133

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁