Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₄

Direct product G=N×Q with N=C₂²×S₃ and Q=C₄

		d	ρ	Label	ID
S₃×C₂²×C₄		48		S3xC2^2xC4	96,206

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊C₄ = C₂³.₆D₆	φ: C₄/C₁ → C₄ ⊆ Out C₂²×S₃	24	4	(C2^2xS3):C4	96,13
(C₂²×S₃)⋊₂C₄ = S₃×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×S₃	24		(C2^2xS3):2C4	96,87
(C₂²×S₃)⋊₃C₄ = C₂×D₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):3C4	96,134

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₄ = C₁₂.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×S₃	24	4+	(C2^2xS3).C4	96,30
(C₂²×S₃).₂C₄ = D₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3).2C4	96,27
(C₂²×S₃).₃C₄ = C₂×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3).3C4	96,107
(C₂²×S₃).₄C₄ = S₃×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×S₃	24	4	(C2^2xS3).4C4	96,113
(C₂²×S₃).₅C₄ = S₃×C₂×C₈	φ: trivial image	48		(C2^2xS3).5C4	96,106

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁