Extensions 1→N→G→Q→1 with N=C₁₂ and Q=He₃

Direct product G=NxQ with N=C₁₂ and Q=He₃

		d	ρ	Label	ID
C₁₂xHe₃		108		C12xHe3	324,106

Non-split extensions G=N.Q with N=C₁₂ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁He₃ = C₄xC₃²:C₉	central extension (φ=1)	108		C12.1He3	324,27
C₁₂.₂He₃ = C₄xC₃wrC₃	central extension (φ=1)	36	3	C12.2He3	324,31
C₁₂.₃He₃ = C₄xHe₃.C₃	central extension (φ=1)	108	3	C12.3He3	324,32
C₁₂.₄He₃ = C₄xHe₃:C₃	central extension (φ=1)	108	3	C12.4He3	324,33
C₁₂.₅He₃ = C₄xC₃.He₃	central extension (φ=1)	108	3	C12.5He3	324,34

׿

x

:

Z

F

o

wr

Q

<