Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂²xC₆

Direct product G=NxQ with N=Dic₃ and Q=C₂²xC₆

		d	ρ	Label	ID
Dic₃xC₂²xC₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=Dic₃ and Q=C₂²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(C₂²xC₆) = S₃xC₆xD₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3:1(C2^2xC6)	288,992
Dic₃:₂(C₂²xC₆) = C₂xC₆xC₃:D₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3:2(C2^2xC6)	288,1002
Dic₃:₃(C₂²xC₆) = S₃xC₂²xC₁₂	φ: trivial image	96		Dic3:3(C2^2xC6)	288,989

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂²xC₆) = C₂xC₆xDic₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	96		Dic3.1(C2^2xC6)	288,988
Dic₃.₂(C₂²xC₆) = C₆xC₄oD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3.2(C2^2xC6)	288,991
Dic₃.₃(C₂²xC₆) = C₆xD₄:₂S₃	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3.3(C2^2xC6)	288,993
Dic₃.₄(C₂²xC₆) = C₃xD₄:₆D₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	24	4	Dic3.4(C2^2xC6)	288,994
Dic₃.₅(C₂²xC₆) = S₃xC₆xQ₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	96		Dic3.5(C2^2xC6)	288,995
Dic₃.₆(C₂²xC₆) = C₃xQ₈.₁₅D₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.6(C2^2xC6)	288,997
Dic₃.₇(C₂²xC₆) = C₃xD₄oD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.7(C2^2xC6)	288,999
Dic₃.₈(C₂²xC₆) = C₃xQ₈oD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.8(C2^2xC6)	288,1000
Dic₃.₉(C₂²xC₆) = C₆xQ₈:₃S₃	φ: trivial image	96		Dic3.9(C2^2xC6)	288,996
Dic₃.₁₀(C₂²xC₆) = C₃xS₃xC₄oD₄	φ: trivial image	48	4	Dic3.10(C2^2xC6)	288,998

׿

x

:

Z

F

o

wr

Q

<