Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=C₂₄

Direct product G=N×Q with N=C₃⋊S₃ and Q=C₂₄

		d	ρ	Label	ID
C₃⋊S₃×C₂₄		144		C3:S3xC24	432,480

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=C₂₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊C₂₄ = C₆×F₉	φ: C₂₄/C₆ → C₄ ⊆ Out C₃⋊S₃	48	8	C3:S3:C24	432,751
C₃⋊S₃⋊₂C₂₄ = C₈×C₃²⋊C₆	φ: C₂₄/C₈ → C₃ ⊆ Out C₃⋊S₃	72	6	C3:S3:2C24	432,115
C₃⋊S₃⋊₃C₂₄ = C₃×C₁₂.₂₉D₆	φ: C₂₄/C₁₂ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:3C24	432,415
C₃⋊S₃⋊₄C₂₄ = C₃×C₃⋊S₃⋊₃C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:4C24	432,628

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁