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

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

		d	ρ	Label	ID
C₂⁵×C₆		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 = C₂×C₂⁴⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	12	6+	C2^5:1C6	192,1000
C₂⁵⋊₂C₆ = C₂×D₄×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	24		C2^5:2C6	192,1497
C₂⁵⋊₃C₆ = A₄×C₂⁴	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	48		C2^5:3C6	192,1539
C₂⁵⋊₄C₆ = C₂²×C₂²⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	12		C2^5:4C6	192,1540
C₂⁵⋊₅C₆ = C₆×C₂²≀C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	48		C2^5:5C6	192,1410
C₂⁵⋊₆C₆ = D₄×C₂²×C₆	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 = A₄×C₂²⋊C₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁵	24		C2^5.2C6	192,994
C₂⁵.₃C₆ = A₄×C₂²×C₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	48		C2^5.3C6	192,1496
C₂⁵.₄C₆ = C₄×C₂²⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁵	24		C2^5.4C6	192,1505
C₂⁵.₅C₆ = C₃×C₂⁴⋊₃C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	48		C2^5.5C6	192,812
C₂⁵.₆C₆ = C₂×C₆×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁵	96		C2^5.6C6	192,1401

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