Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=M₄(2)

Direct product G=N×Q with N=C₃⋊S₃ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃⋊S₃		72		M4(2)xC3:S3	288,763

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊₁M₄(2) = C₂₄⋊D₆	φ: M₄(2)/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:1M4(2)	288,439
C₃⋊S₃⋊₂M₄(2) = C₃⋊C₈⋊₂₀D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3:2M4(2)	288,466
C₃⋊S₃⋊₃M₄(2) = C₃⋊S₃⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3:3M4(2)	288,931

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.₁M₄(2) = C₄⋊F₉	φ: M₄(2)/C₄ → C₄ ⊆ Out C₃⋊S₃	36	8	C3:S3.1M4(2)	288,864
C₃⋊S₃.₂M₄(2) = S₃²⋊C₈	φ: M₄(2)/C₄ → C₂² ⊆ Out C₃⋊S₃	24	4	C3:S3.2M4(2)	288,374
C₃⋊S₃.₃M₄(2) = C₃²⋊C₄⋊C₈	φ: M₄(2)/C₄ → C₂² ⊆ Out C₃⋊S₃	48	4	C3:S3.3M4(2)	288,380
C₃⋊S₃.₄M₄(2) = C₄.₄PSU₃(𝔽₂)	φ: M₄(2)/C₄ → C₂² ⊆ Out C₃⋊S₃	48	8	C3:S3.4M4(2)	288,392
C₃⋊S₃.₅M₄(2) = C₂²⋊F₉	φ: M₄(2)/C₂² → C₄ ⊆ Out C₃⋊S₃	24	8+	C3:S3.5M4(2)	288,867
C₃⋊S₃.₆M₄(2) = (C₃×C₂₄)⋊C₄	φ: M₄(2)/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3.6M4(2)	288,415

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁