Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₈

Direct product G=N×Q with N=C₂²×S₃ and Q=C₈

		d	ρ	Label	ID
S₃×C₂²×C₈		96		S3xC2^2xC8	192,1295

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊C₈ = (C₂²×S₃)⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂²×S₃	48		(C2^2xS3):C8	192,27
(C₂²×S₃)⋊₂C₈ = S₃×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):2C8	192,283
(C₂²×S₃)⋊₃C₈ = C₂×D₆⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3):3C8	192,667

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₈ = C₈.₂₅D₁₂	φ: C₈/C₂ → C₄ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).C8	192,73
(C₂²×S₃).₂C₈ = D₆⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).2C8	192,66
(C₂²×S₃).₃C₈ = C₂×D₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).3C8	192,459
(C₂²×S₃).₄C₈ = S₃×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).4C8	192,465
(C₂²×S₃).₅C₈ = S₃×C₂×C₁₆	φ: trivial image	96		(C2^2xS3).5C8	192,458

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁