Extensions 1→N→G→Q→1 with N=C₂xS₃² and Q=C₄

Direct product G=NxQ with N=C₂xS₃² and Q=C₄

		d	ρ	Label	ID
S₃²xC₂xC₄		48		S3^2xC2xC4	288,950

Semidirect products G=N:Q with N=C₂xS₃² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃²):C₄ = C₆².₂D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xS₃²	24	4+	(C2xS3^2):C4	288,386
(C₂xS₃²):₂C₄ = S₃xD₆:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xS₃²	48		(C2xS3^2):2C4	288,568
(C₂xS₃²):₃C₄ = C₆².₉₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂xS₃²	48		(C2xS3^2):3C4	288,569
(C₂xS₃²):₄C₄ = C₂xS₃²:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xS₃²	24		(C2xS3^2):4C4	288,880

Non-split extensions G=N.Q with N=C₂xS₃² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃²).C₄ = C₄.S₃wrC₂	φ: C₄/C₁ → C₄ ⊆ Out C₂xS₃²	24	4	(C2xS3^2).C4	288,375
(C₂xS₃²).₂C₄ = S₃²:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xS₃²	24	4	(C2xS3^2).2C4	288,374
(C₂xS₃²).₃C₄ = S₃xC₈:S₃	φ: C₄/C₂ → C₂ ⊆ Out C₂xS₃²	48	4	(C2xS3^2).3C4	288,438
(C₂xS₃²).₄C₄ = C₂₄:D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xS₃²	48	4	(C2xS3^2).4C4	288,439
(C₂xS₃²).₅C₄ = S₃²xC₈	φ: trivial image	48	4	(C2xS3^2).5C4	288,437

׿

x

:

Z

F

o

wr

Q

<