Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂₄

Direct product G=N×Q with N=C₂³ and Q=C₂₄

		d	ρ	Label	ID
C₂³×C₂₄		192		C2^3xC24	192,1454

Semidirect products G=N:Q with N=C₂³ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₂₄ = C₃×C₂³⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂³	48		C2^3:C24	192,129
C₂³⋊₂C₂₄ = A₄×C₂×C₈	φ: C₂₄/C₈ → C₃ ⊆ Aut C₂³	48		C2^3:2C24	192,1010
C₂³⋊₃C₂₄ = C₆×C₂²⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3:3C24	192,839

Non-split extensions G=N.Q with N=C₂³ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₂₄ = C₃×C₂³.C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂³	48	4	C2^3.C24	192,155
C₂³.₂C₂₄ = A₄×C₁₆	φ: C₂₄/C₈ → C₃ ⊆ Aut C₂³	48	3	C2^3.2C24	192,203
C₂³.₃C₂₄ = C₃×C₂²⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.3C24	192,154
C₂³.₄C₂₄ = C₆×M₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.4C24	192,936

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