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

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

		d	ρ	Label	ID
D₇×C₂⁴		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 = C₂²×C₇⋊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 = C₂×C₂³.D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁴	112		C2^4.D7	224,147
C₂⁴.₂D₇ = C₂³×Dic₇	central extension (φ=1)	224		C2^4.2D7	224,187

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