Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₃xS₃

Direct product G=NxQ with N=M₄(2) and Q=C₃xS₃

		d	ρ	Label	ID
C₃xS₃xM₄(2)		48	4	C3xS3xM4(2)	288,677

Semidirect products G=N:Q with N=M₄(2) and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2):₁(C₃xS₃) = C₃xC₈:D₆	φ: C₃xS₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):1(C3xS3)	288,679
M₄(2):₂(C₃xS₃) = C₃xC₈.D₆	φ: C₃xS₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):2(C3xS3)	288,680
M₄(2):₃(C₃xS₃) = C₃xC₁₂.₄₆D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):3(C3xS3)	288,257
M₄(2):₄(C₃xS₃) = C₃xD₁₂:C₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):4(C3xS3)	288,259
M₄(2):₅(C₃xS₃) = C₃xD₁₂.C₄	φ: trivial image	48	4	M4(2):5(C3xS3)	288,678

Non-split extensions G=N.Q with N=M₄(2) and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₃xS₃) = C₃xC₁₂.₅₃D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2).1(C3xS3)	288,256
M₄(2).₂(C₃xS₃) = C₃xC₁₂.₄₇D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2).2(C3xS3)	288,258

׿

x

:

Z

F

o

wr

Q

<