Extensions 1→N→G→Q→1 with N=C₂²xC₁₂ and Q=C₃²

Direct product G=NxQ with N=C₂²xC₁₂ and Q=C₃²

		d	ρ	Label	ID
C₆²xC₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₂²xC₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₂):C₃² = A₄xC₃xC₁₂	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²xC₁₂	108		(C2^2xC12):C3^2	432,697

Non-split extensions G=N.Q with N=C₂²xC₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₂).₁C₃² = A₄xC₃₆	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²xC₁₂	108	3	(C2^2xC12).1C3^2	432,325
(C₂²xC₁₂).₂C₃² = C₄xC₉:A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²xC₁₂	108	3	(C2^2xC12).2C3^2	432,326
(C₂²xC₁₂).₃C₃² = C₁₂xC₃.A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²xC₁₂	108		(C2^2xC12).3C3^2	432,331
(C₂²xC₁₂).₄C₃² = C₄xC₃².A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²xC₁₂	36	3	(C2^2xC12).4C3^2	432,332
(C₂²xC₁₂).₅C₃² = C₄xC₃²:A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₂²xC₁₂	36	3	(C2^2xC12).5C3^2	432,333
(C₂²xC₁₂).₆C₃² = C₂²xC₄xHe₃	central extension (φ=1)	144		(C2^2xC12).6C3^2	432,401
(C₂²xC₁₂).₇C₃² = C₂²xC₄x3_-¹⁺²	central extension (φ=1)	144		(C2^2xC12).7C3^2	432,402

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