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
C₂⁵×C₆		192		C2^5xC6	192,1543

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₆)⋊₁C₂ = C₆×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	48		(C2^4xC6):1C2	192,1410
(C₂⁴×C₆)⋊₂C₂ = D₄×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	96		(C2^4xC6):2C2	192,1531
(C₂⁴×C₆)⋊₃C₂ = C₂×C₂⁴⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	48		(C2^4xC6):3C2	192,1399
(C₂⁴×C₆)⋊₄C₂ = C₂³×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	96		(C2^4xC6):4C2	192,1529
(C₂⁴×C₆)⋊₅C₂ = S₃×C₂⁵	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	96		(C2^4xC6):5C2	192,1542

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₆).₁C₂ = C₃×C₂⁴⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	48		(C2^4xC6).1C2	192,812
(C₂⁴×C₆).₂C₂ = C₂×C₆×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	96		(C2^4xC6).2C2	192,1401
(C₂⁴×C₆).₃C₂ = C₂⁵.₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	48		(C2^4xC6).3C2	192,806
(C₂⁴×C₆).₄C₂ = C₂²×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	96		(C2^4xC6).4C2	192,1398
(C₂⁴×C₆).₅C₂ = Dic₃×C₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₆	192		(C2^4xC6).5C2	192,1528

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