Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂₄

Direct product G=N×Q with N=C₈ and Q=C₂₄

		d	ρ	Label	ID
C₈×C₂₄		192		C8xC24	192,127

Semidirect products G=N:Q with N=C₈ and Q=C₂₄

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₂₄ = C₃×C₈⋊₁C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₈	192	C8:1C24	192,141
C₈⋊₂C₂₄ = C₃×C₈⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₈	192	C8:2C24	192,140
C₈⋊₃C₂₄ = C₃×C₈⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₈	192	C8:3C24	192,128

Non-split extensions G=N.Q with N=C₈ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₂₄ = C₃×C₈.C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₈	48	2	C8.1C24	192,170
C₈.₂C₂₄ = C₃×C₁₆⋊₅C₄	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₈	192		C8.2C24	192,152
C₈.₃C₂₄ = C₃×M₆(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.3C24	192,176

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=C24