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

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

		d	ρ	Label	ID
C₁₂×He₃		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 = C₄×C₃²⋊C₉	central extension (φ=1)	108		C12.1He3	324,27
C₁₂.₂He₃ = C₄×C₃≀C₃	central extension (φ=1)	36	3	C12.2He3	324,31
C₁₂.₃He₃ = C₄×He₃.C₃	central extension (φ=1)	108	3	C12.3He3	324,32
C₁₂.₄He₃ = C₄×He₃⋊C₃	central extension (φ=1)	108	3	C12.4He3	324,33
C₁₂.₅He₃ = C₄×C₃.He₃	central extension (φ=1)	108	3	C12.5He3	324,34

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁