Extensions 1→N→G→Q→1 with N=C₂⁴xC₆ and Q=C₂

Direct product G=NxQ with N=C₂⁴xC₆ and Q=C₂

		d	ρ	Label	ID
C₂⁵xC₆		192		C2^5xC6	192,1543

Semidirect products G=N:Q with N=C₂⁴xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴xC₆):₁C₂ = C₆xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	48		(C2^4xC6):1C2	192,1410
(C₂⁴xC₆):₂C₂ = D₄xC₂²xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	96		(C2^4xC6):2C2	192,1531
(C₂⁴xC₆):₃C₂ = C₂xC₂⁴:₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	48		(C2^4xC6):3C2	192,1399
(C₂⁴xC₆):₄C₂ = C₂³xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	96		(C2^4xC6):4C2	192,1529
(C₂⁴xC₆):₅C₂ = S₃xC₂⁵	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	96		(C2^4xC6):5C2	192,1542

Non-split extensions G=N.Q with N=C₂⁴xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴xC₆).₁C₂ = C₃xC₂⁴:₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	48		(C2^4xC6).1C2	192,812
(C₂⁴xC₆).₂C₂ = C₂xC₆xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	96		(C2^4xC6).2C2	192,1401
(C₂⁴xC₆).₃C₂ = C₂⁵.₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	48		(C2^4xC6).3C2	192,806
(C₂⁴xC₆).₄C₂ = C₂²xC₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	96		(C2^4xC6).4C2	192,1398
(C₂⁴xC₆).₅C₂ = Dic₃xC₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₆	192		(C2^4xC6).5C2	192,1528

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