Extensions 1→N→G→Q→1 with N=C₂⁴⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₂⁴⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂⁴⋊C₆		12	6+	C2xC2^4:C6	192,1000

Semidirect products G=N:Q with N=C₂⁴⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊C₆⋊₁C₂ = C₂⁴⋊A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₆	16	12+	C2^4:C6:1C2	192,1009
C₂⁴⋊C₆⋊₂C₂ = C₂⁴⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₆	8	6+	C2^4:C6:2C2	192,955

Non-split extensions G=N.Q with N=C₂⁴⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊C₆.C₂ = C₂⁴⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊C₆	16	12+	C2^4:C6.C2	192,184

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Extensions 1→N→G→Q→1 with N=C24⋊C6 and Q=C2