Extensions 1→N→G→Q→1 with N=C₆² and Q=C₈

Direct product G=NxQ with N=C₆² and Q=C₈

		d	ρ	Label	ID
C₂xC₆xC₂₄		288		C2xC6xC24	288,826

Semidirect products G=N:Q with N=C₆² and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²:₁C₈ = C₂²:F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₆²	24	8+	C6^2:1C8	288,867
C₆²:₂C₈ = C₂²xF₉	φ: C₈/C₁ → C₈ ⊆ Aut C₆²	36		C6^2:2C8	288,1030
C₆²:₃C₈ = C₆²:₃C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆²	48		C6^2:3C8	288,435
C₆²:₄C₈ = C₂²xC₃²:₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆²	96		C6^2:4C8	288,939
C₆²:₅C₈ = C₃²xC₂²:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2:5C8	288,316
C₆²:₆C₈ = C₃xC₁₂.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	48		C6^2:6C8	288,264
C₆²:₇C₈ = C₆²:₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2:7C8	288,305
C₆²:₈C₈ = C₂xC₆xC₃:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	96		C6^2:8C8	288,691
C₆²:₉C₈ = C₂²xC₃²:₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	288		C6^2:9C8	288,777

Non-split extensions G=N.Q with N=C₆² and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₈ = C₂xC₂.F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₆²	96		C6^2.1C8	288,865
C₆².₂C₈ = C₂².F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₆²	48	8-	C6^2.2C8	288,866
C₆².₃C₈ = C₂xC₃²:₂C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₆²	96		C6^2.3C8	288,420
C₆².₄C₈ = C₆².₄C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆²	48	4	C6^2.4C8	288,421
C₆².₅C₈ = C₃²xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2.5C8	288,328
C₆².₆C₈ = C₆xC₃:C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	96		C6^2.6C8	288,245
C₆².₇C₈ = C₃xC₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	48	2	C6^2.7C8	288,246
C₆².₈C₈ = C₂xC₂₄.S₃	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	288		C6^2.8C8	288,286
C₆².₉C₈ = C₂₄.₉₄D₆	φ: C₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2.9C8	288,287

׿

x

:

Z

F

o

wr

Q

<