Extensions 1→N→G→Q→1 with N=C₂xS₄ and Q=C₂²

Direct product G=NxQ with N=C₂xS₄ and Q=C₂²

		d	ρ	Label	ID
C₂³xS₄		24		C2^3xS4	192,1537

Semidirect products G=N:Q with N=C₂xS₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₄):₁C₂² = C₂xC₄:S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₄	24		(C2xS4):1C2^2	192,1470
(C₂xS₄):₂C₂² = D₄xS₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₄	12	6+	(C2xS4):2C2^2	192,1472
(C₂xS₄):₃C₂² = C₂xA₄:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₄	24		(C2xS4):3C2^2	192,1488

Non-split extensions G=N.Q with N=C₂xS₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₄).₁C₂² = C₂⁴.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₄	24	6	(C2xS4).1C2^2	192,1471
(C₂xS₄).₂C₂² = D₄:₂S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₄	24	6	(C2xS4).2C2^2	192,1473
(C₂xS₄).₃C₂² = Q₈:₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₄	24	6	(C2xS4).3C2^2	192,1478
(C₂xS₄).₄C₂² = C₂xC₄xS₄	φ: trivial image	24		(C2xS4).4C2^2	192,1469
(C₂xS₄).₅C₂² = Q₈xS₄	φ: trivial image	24	6-	(C2xS4).5C2^2	192,1477

׿

x

:

Z

F

o

wr

Q

<