Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₁₂

Direct product G=NxQ with N=M₄(2) and Q=C₁₂

		d	ρ	Label	ID
C₁₂xM₄(2)		96		C12xM4(2)	192,837

Semidirect products G=N:Q with N=M₄(2) and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2):₁C₁₂ = C₃xM₄(2):C₄	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	96		M4(2):1C12	192,861
M₄(2):₂C₁₂ = C₃xC₄²:₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	48		M4(2):2C12	192,145
M₄(2):₃C₁₂ = C₃xC₂².C₄²	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	96		M4(2):3C12	192,149
M₄(2):₄C₁₂ = C₃xM₄(2):₄C₄	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2):4C12	192,150
M₄(2):₅C₁₂ = C₃xC₈o₂M₄(2)	φ: trivial image	96		M4(2):5C12	192,838

Non-split extensions G=N.Q with N=M₄(2) and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₁₂ = C₃xM₄(2).C₄	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2).1C12	192,863
M₄(2).₂C₁₂ = C₃xC₄.C₄²	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	96		M4(2).2C12	192,147
M₄(2).₃C₁₂ = C₃xD₄.C₈	φ: C₁₂/C₆ → C₂ ⊆ Out M₄(2)	96	2	M4(2).3C12	192,156
M₄(2).₄C₁₂ = C₃xD₄oC₁₆	φ: trivial image	96	2	M4(2).4C12	192,937

׿

x

:

Z

F

o

wr

Q

<