Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂²xC₆

Direct product G=NxQ with N=D₄ and Q=C₂²xC₆

		d	ρ	Label	ID
D₄xC₂²xC₆		96		D4xC2^2xC6	192,1531

Semidirect products G=N:Q with N=D₄ and Q=C₂²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂²xC₆) = C₂xC₆xD₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	96		D4:1(C2^2xC6)	192,1458
D₄:₂(C₂²xC₆) = C₆xC₈:C₂²	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	48		D4:2(C2^2xC6)	192,1462
D₄:₃(C₂²xC₆) = C₂xC₆xC₄oD₄	φ: trivial image	96		D4:3(C2^2xC6)	192,1533
D₄:₄(C₂²xC₆) = C₆x2₊¹⁺⁴	φ: trivial image	48		D4:4(C2^2xC6)	192,1534

Non-split extensions G=N.Q with N=D₄ and Q=C₂²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂²xC₆) = C₂xC₆xSD₁₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	96		D4.1(C2^2xC6)	192,1459
D₄.₂(C₂²xC₆) = C₆xC₄oD₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	96		D4.2(C2^2xC6)	192,1461
D₄.₃(C₂²xC₆) = C₆xC₈.C₂²	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	96		D4.3(C2^2xC6)	192,1463
D₄.₄(C₂²xC₆) = C₃xD₈:C₂²	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	48	4	D4.4(C2^2xC6)	192,1464
D₄.₅(C₂²xC₆) = C₃xD₄oD₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	48	4	D4.5(C2^2xC6)	192,1465
D₄.₆(C₂²xC₆) = C₃xD₄oSD₁₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	48	4	D4.6(C2^2xC6)	192,1466
D₄.₇(C₂²xC₆) = C₃xQ₈oD₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₄	96	4	D4.7(C2^2xC6)	192,1467
D₄.₈(C₂²xC₆) = C₆x2_-¹⁺⁴	φ: trivial image	96		D4.8(C2^2xC6)	192,1535
D₄.₉(C₂²xC₆) = C₃xC₂.C₂⁵	φ: trivial image	48	4	D4.9(C2^2xC6)	192,1536

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