Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₇

Direct product G=NxQ with N=C₂⁴ and Q=D₇

		d	ρ	Label	ID
D₇xC₂⁴		112		D7xC2^4	224,196

Semidirect products G=N:Q with N=C₂⁴ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:₁D₇ = C₂⁴:D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁴	56		C2^4:1D7	224,148
C₂⁴:₂D₇ = C₂²xC₇:D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁴	112		C2^4:2D7	224,188

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.D₇ = C₂xC₂³.D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁴	112		C2^4.D7	224,147
C₂⁴.₂D₇ = C₂³xDic₇	central extension (φ=1)	224		C2^4.2D7	224,187

Extensions 1→N→G→Q→1 with N=C24 and Q=D7