Extensions 1→N→G→Q→1 with N=S₃×Q₈ and Q=C₄

Direct product G=N×Q with N=S₃×Q₈ and Q=C₄

		d	ρ	Label	ID
C₄×S₃×Q₈		96		C4xS3xQ8	192,1130

Semidirect products G=N:Q with N=S₃×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈)⋊₁C₄ = S₃×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×Q₈	96		(S3xQ8):1C4	192,360
(S₃×Q₈)⋊₂C₄ = (S₃×Q₈)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×Q₈	96		(S3xQ8):2C4	192,361
(S₃×Q₈)⋊₃C₄ = S₃×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out S₃×Q₈	24	4	(S3xQ8):3C4	192,379
(S₃×Q₈)⋊₄C₄ = C₄²⋊₃D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×Q₈	48	4	(S3xQ8):4C4	192,380
(S₃×Q₈)⋊₅C₄ = C₄².₁₂₅D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×Q₈	96		(S3xQ8):5C4	192,1131

Non-split extensions G=N.Q with N=S₃×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈).C₄ = M₄(2)⋊₂₈D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×Q₈	48	4	(S3xQ8).C4	192,1309
(S₃×Q₈).₂C₄ = S₃×C₈○D₄	φ: trivial image	48	4	(S3xQ8).2C4	192,1308

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁