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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁Q₈ = C₄².₁₄₈D₆	φ: Q₈/C₂ → C₂² ⊆ Out C₄×S₃	96		(C4xS3):1Q8	192,1248
(C₄×S₃)⋊₂Q₈ = C₄².₁₇₄D₆	φ: Q₈/C₂ → C₂² ⊆ Out C₄×S₃	96		(C4xS3):2Q8	192,1288
(C₄×S₃)⋊₃Q₈ = C₄².₂₃₆D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):3Q8	192,1247
(C₄×S₃)⋊₄Q₈ = S₃×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):4Q8	192,1282
(C₄×S₃)⋊₅Q₈ = C₄².₂₄₁D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):5Q8	192,1287
(C₄×S₃)⋊₆Q₈ = C₄².₂₃₂D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):6Q8	192,1137

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁Q₈ = C₈⋊(C₄×S₃)	φ: Q₈/C₂ → C₂² ⊆ Out C₄×S₃	96		(C4xS3).1Q8	192,420
(C₄×S₃).₂Q₈ = C₈⋊S₃⋊C₄	φ: Q₈/C₂ → C₂² ⊆ Out C₄×S₃	96		(C4xS3).2Q8	192,440
(C₄×S₃).₃Q₈ = S₃×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).3Q8	192,418
(C₄×S₃).₄Q₈ = (S₃×C₈)⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).4Q8	192,419
(C₄×S₃).₅Q₈ = S₃×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).5Q8	192,438
(C₄×S₃).₆Q₈ = C₈.₂₇(C₄×S₃)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).6Q8	192,439
(C₄×S₃).₇Q₈ = S₃×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).7Q8	192,1246
(C₄×S₃).₈Q₈ = C₁₂⋊M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).8Q8	192,396
(C₄×S₃).₉Q₈ = C₄².₃₀D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).9Q8	192,398
(C₄×S₃).₁₀Q₈ = S₃×C₄⋊C₈	φ: trivial image	96		(C4xS3).10Q8	192,391

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁