Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=C₄

Direct product G=N×Q with N=S₃×C₆ and Q=C₄

		d	ρ	Label	ID
S₃×C₂×C₁₂		48		S3xC2xC12	144,159

Semidirect products G=N:Q with N=S₃×C₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₄ = D₆⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):1C4	144,64
(S₃×C₆)⋊₂C₄ = C₃×D₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):2C4	144,79
(S₃×C₆)⋊₃C₄ = C₂×S₃×Dic₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):3C4	144,146

Non-split extensions G=N.Q with N=S₃×C₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁C₄ = S₃×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₆	48	4	(S3xC6).1C4	144,52
(S₃×C₆).₂C₄ = D₆.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₆	48	4	(S3xC6).2C4	144,54
(S₃×C₆).₃C₄ = C₃×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₆	48	2	(S3xC6).3C4	144,70
(S₃×C₆).₄C₄ = S₃×C₂₄	φ: trivial image	48	2	(S3xC6).4C4	144,69

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁