Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₆

Direct product G=NxQ with N=C₂⁴ and Q=C₆

		d	ρ	Label	ID
C₂⁴xC₆		96		C2^4xC6	96,231

Semidirect products G=N:Q with N=C₂⁴ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:₁C₆ = C₂⁴:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁴	8	6+	C2^4:1C6	96,70
C₂⁴:₂C₆ = D₄xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁴	12	6+	C2^4:2C6	96,197
C₂⁴:₃C₆ = C₂³xA₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁴	24		C2^4:3C6	96,228
C₂⁴:₄C₆ = C₂xC₂²:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁴	12		C2^4:4C6	96,229
C₂⁴:₅C₆ = C₃xC₂²wrC₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁴	24		C2^4:5C6	96,167
C₂⁴:₆C₆ = D₄xC₂xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁴	48		C2^4:6C6	96,221

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.C₆ = C₂xC₄xA₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁴	24		C2^4.C6	96,196
C₂⁴.₂C₆ = C₆xC₂²:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁴	48		C2^4.2C6	96,162

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