Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₁₈

Direct product G=NxQ with N=M₄(2) and Q=C₁₈

		d	ρ	Label	ID
M₄(2)xC₁₈		144		M4(2)xC18	288,180

Semidirect products G=N:Q with N=M₄(2) and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2):₁C₁₈ = C₉xC₈:C₂²	φ: C₁₈/C₉ → C₂ ⊆ Out M₄(2)	72	4	M4(2):1C18	288,186
M₄(2):₂C₁₈ = C₉xC₈.C₂²	φ: C₁₈/C₉ → C₂ ⊆ Out M₄(2)	144	4	M4(2):2C18	288,187
M₄(2):₃C₁₈ = C₉xC₄.D₄	φ: C₁₈/C₉ → C₂ ⊆ Out M₄(2)	72	4	M4(2):3C18	288,50
M₄(2):₄C₁₈ = C₉xC₄wrC₂	φ: C₁₈/C₉ → C₂ ⊆ Out M₄(2)	72	2	M4(2):4C18	288,54
M₄(2):₅C₁₈ = C₉xC₈oD₄	φ: trivial image	144	2	M4(2):5C18	288,181

Non-split extensions G=N.Q with N=M₄(2) and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₁₈ = C₉xC₄.₁₀D₄	φ: C₁₈/C₉ → C₂ ⊆ Out M₄(2)	144	4	M4(2).1C18	288,51
M₄(2).₂C₁₈ = C₉xC₈.C₄	φ: C₁₈/C₉ → C₂ ⊆ Out M₄(2)	144	2	M4(2).2C18	288,58

׿

x

:

Z

F

o

wr

Q

<