Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=D₇

Direct product G=N×Q with N=C₂⁵ and Q=D₇

		d	ρ	Label	ID
D₇×C₂⁵		224		D7xC2^5	448,1395

Semidirect products G=N:Q with N=C₂⁵ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵⋊₁D₇ = C₂×C₂⁴⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁵	112		C2^5:1D7	448,1293
C₂⁵⋊₂D₇ = C₂³×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁵	224		C2^5:2D7	448,1384

Non-split extensions G=N.Q with N=C₂⁵ and Q=D₇

extension	φ:Q→Aut N	d	Label	ID
C₂⁵.₁D₇ = C₂⁵.D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁵	112	C2^5.1D7	448,781
C₂⁵.₂D₇ = C₂²×C₂³.D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂⁵	224	C2^5.2D7	448,1292
C₂⁵.₃D₇ = C₂⁴×Dic₇	central extension (φ=1)	448	C2^5.3D7	448,1383

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Extensions 1→N→G→Q→1 with N=C25 and Q=D7