Extensions 1→N→G→Q→1 with N=C₃xDic₃ and Q=C₈

Direct product G=NxQ with N=C₃xDic₃ and Q=C₈

		d	ρ	Label	ID
Dic₃xC₂₄		96		Dic3xC24	288,247

Semidirect products G=N:Q with N=C₃xDic₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃):₁C₈ = C₁₂.₈₁D₁₂	φ: C₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):1C8	288,219
(C₃xDic₃):₂C₈ = Dic₃xC₃:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):2C8	288,200
(C₃xDic₃):₃C₈ = C₃xDic₃:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):3C8	288,248

Non-split extensions G=N.Q with N=C₃xDic₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃).₁C₈ = C₂₄.₆₁D₆	φ: C₈/C₄ → C₂ ⊆ Out C₃xDic₃	96	4	(C3xDic3).1C8	288,191
(C₃xDic₃).₂C₈ = S₃xC₃:C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₃xDic₃	96	4	(C3xDic3).2C8	288,189
(C₃xDic₃).₃C₈ = C₃xD₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₃xDic₃	96	2	(C3xDic3).3C8	288,232
(C₃xDic₃).₄C₈ = S₃xC₄₈	φ: trivial image	96	2	(C3xDic3).4C8	288,231

׿

x

:

Z

F

o

wr

Q

<