Extensions 1→N→G→Q→1 with N=Q₈⋊₃S₃ and Q=C₄

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈⋊₃S₃		96		C4xQ8:3S3	192,1132

Semidirect products G=N:Q with N=Q₈⋊₃S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃⋊₁C₄ = Q₈⋊₇(C₄×S₃)	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:1C4	192,362
Q₈⋊₃S₃⋊₂C₄ = C₄⋊C₄.₁₅₀D₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:2C4	192,363
Q₈⋊₃S₃⋊₃C₄ = S₃×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	24	4	Q8:3S3:3C4	192,379
Q₈⋊₃S₃⋊₄C₄ = C₄²⋊₃D₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:4C4	192,380
Q₈⋊₃S₃⋊₅C₄ = C₄².₁₂₆D₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:5C4	192,1133

Non-split extensions G=N.Q with N=Q₈⋊₃S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃.C₄ = M₄(2)⋊₂₈D₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3.C4	192,1309
Q₈⋊₃S₃.₂C₄ = S₃×C₈○D₄	φ: trivial image	48	4	Q8:3S3.2C4	192,1308

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁