Extensions 1→N→G→Q→1 with N=D₄.S₃ and Q=C₄

Direct product G=N×Q with N=D₄.S₃ and Q=C₄

		d	ρ	Label	ID
C₄×D₄.S₃		96		C4xD4.S3	192,576

Semidirect products G=N:Q with N=D₄.S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.S₃⋊₁C₄ = D₄.S₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄.S₃	96		D4.S3:1C4	192,316
D₄.S₃⋊₂C₄ = Dic₃⋊₆SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₄.S₃	96		D4.S3:2C4	192,317
D₄.S₃⋊₃C₄ = M₄(2).₂₂D₆	φ: C₄/C₂ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:3C4	192,382
D₄.S₃⋊₄C₄ = C₄².₁₉₆D₆	φ: C₄/C₂ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:4C4	192,383
D₄.S₃⋊₅C₄ = C₄².₅₁D₆	φ: C₄/C₂ → C₂ ⊆ Out D₄.S₃	96		D4.S3:5C4	192,577
D₄.S₃⋊₆C₄ = C₂₄.₅₄D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:6C4	192,704
D₄.S₃⋊₇C₄ = C₂₄.₁₀₀D₄	φ: trivial image	48	4	D4.S3:7C4	192,703

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁