Extensions 1→N→G→Q→1 with N=C₂²×C₁₂ and Q=C₃²

Direct product G=N×Q with N=C₂²×C₁₂ and Q=C₃²

		d	ρ	Label	ID
C₆²×C₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₂²×C₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₂)⋊C₃² = A₄×C₃×C₁₂	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₁₂	108		(C2^2xC12):C3^2	432,697

Non-split extensions G=N.Q with N=C₂²×C₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₂).₁C₃² = A₄×C₃₆	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₁₂	108	3	(C2^2xC12).1C3^2	432,325
(C₂²×C₁₂).₂C₃² = C₄×C₉⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₁₂	108	3	(C2^2xC12).2C3^2	432,326
(C₂²×C₁₂).₃C₃² = C₁₂×C₃.A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₁₂	108		(C2^2xC12).3C3^2	432,331
(C₂²×C₁₂).₄C₃² = C₄×C₃².A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₁₂	36	3	(C2^2xC12).4C3^2	432,332
(C₂²×C₁₂).₅C₃² = C₄×C₃²⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²×C₁₂	36	3	(C2^2xC12).5C3^2	432,333
(C₂²×C₁₂).₆C₃² = C₂²×C₄×He₃	central extension (φ=1)	144		(C2^2xC12).6C3^2	432,401
(C₂²×C₁₂).₇C₃² = C₂²×C₄×3_-¹⁺²	central extension (φ=1)	144		(C2^2xC12).7C3^2	432,402

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁