Extensions 1→N→G→Q→1 with N=C₂²:C₄ and Q=Dic₃

Direct product G=NxQ with N=C₂²:C₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂²:C₄		96		Dic3xC2^2:C4	192,500

Semidirect products G=N:Q with N=C₂²:C₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²:C₄:₁Dic₃ = C₂⁴:₅Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²:C₄	24	4	C2^2:C4:1Dic3	192,95
C₂²:C₄:₂Dic₃ = (C₂²xC₁₂):C₄	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²:C₄	48	4	C2^2:C4:2Dic3	192,98
C₂²:C₄:₃Dic₃ = C₂⁴.₁₃D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	48		C2^2:C4:3Dic3	192,86
C₂²:C₄:₄Dic₃ = C₂⁴.₅₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	96		C2^2:C4:4Dic3	192,509
C₂²:C₄:₅Dic₃ = C₂⁴.₁₉D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	96		C2^2:C4:5Dic3	192,510

Non-split extensions G=N.Q with N=C₂²:C₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²:C₄.₁Dic₃ = (C₂xC₁₂).Q₈	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	48	4	C2^2:C4.1Dic3	192,92
C₂²:C₄.₂Dic₃ = C₄².₄₃D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	96		C2^2:C4.2Dic3	192,558
C₂²:C₄.₃Dic₃ = C₄².₁₈₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	96		C2^2:C4.3Dic3	192,559
C₂²:C₄.₄Dic₃ = C₄².₄₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	96		C2^2:C4.4Dic3	192,570
C₂²:C₄.₅Dic₃ = C₁₂:₃M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²:C₄	96		C2^2:C4.5Dic3	192,571
C₂²:C₄.₆Dic₃ = C₁₂.₅C₄²	φ: trivial image	96		C2^2:C4.6Dic3	192,556
C₂²:C₄.₇Dic₃ = D₄xC₃:C₈	φ: trivial image	96		C2^2:C4.7Dic3	192,569

׿

x

:

Z

F

o

wr

Q

<