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

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

		d	ρ	Label	ID
C₂⁴×C₆		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 = D₄×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂⁴	12	6+	C2^4:2C6	96,197
C₂⁴⋊₃C₆ = C₂³×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁴	24		C2^4:3C6	96,228
C₂⁴⋊₄C₆ = C₂×C₂²⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁴	12		C2^4:4C6	96,229
C₂⁴⋊₅C₆ = C₃×C₂²≀C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁴	24		C2^4:5C6	96,167
C₂⁴⋊₆C₆ = D₄×C₂×C₆	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 = C₂×C₄×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂⁴	24		C2^4.C6	96,196
C₂⁴.₂C₆ = C₆×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂⁴	48		C2^4.2C6	96,162

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