Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=C₆

Direct product G=NxQ with N=C₂⁵ and Q=C₆

		d	ρ	Label	ID
C₂⁵xC₆		192		C2^5xC6	192,1543

Semidirect products G=N:Q with N=C₂⁵ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵:₁C₆ = C₂xC₂⁴:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	12	6+	C2^5:1C6	192,1000
C₂⁵:₂C₆ = C₂xD₄xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	24		C2^5:2C6	192,1497
C₂⁵:₃C₆ = A₄xC₂⁴	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	48		C2^5:3C6	192,1539
C₂⁵:₄C₆ = C₂²xC₂²:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	12		C2^5:4C6	192,1540
C₂⁵:₅C₆ = C₆xC₂²wrC₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	48		C2^5:5C6	192,1410
C₂⁵:₆C₆ = D₄xC₂²xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	96		C2^5:6C6	192,1531

Non-split extensions G=N.Q with N=C₂⁵ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵.₁C₆ = C₂⁴:C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	12	6+	C2^5.1C6	192,191
C₂⁵.₂C₆ = A₄xC₂²:C₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	24		C2^5.2C6	192,994
C₂⁵.₃C₆ = A₄xC₂²xC₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	48		C2^5.3C6	192,1496
C₂⁵.₄C₆ = C₄xC₂²:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	24		C2^5.4C6	192,1505
C₂⁵.₅C₆ = C₃xC₂⁴:₃C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	48		C2^5.5C6	192,812
C₂⁵.₆C₆ = C₂xC₆xC₂²:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	96		C2^5.6C6	192,1401

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