Extensions 1→N→G→Q→1 with N=C₄₅ and Q=C₆

Direct product G=NxQ with N=C₄₅ and Q=C₆

		d	ρ	Label	ID
C₃xC₉₀		270		C3xC90	270,20

Semidirect products G=N:Q with N=C₄₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅:₁C₆ = D₄₅:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₄₅	45	6+	C45:1C6	270,15
C₄₅:₂C₆ = C₅xC₉:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₄₅	45	6	C45:2C6	270,11
C₄₅:₃C₆ = D₅x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₄₅	45	6	C45:3C6	270,7
C₄₅:₄C₆ = C₁₀x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₄₅	90	3	C45:4C6	270,22
C₄₅:₅C₆ = C₃xD₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	90	2	C45:5C6	270,12
C₄₅:₆C₆ = C₁₅xD₉	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	90	2	C45:6C6	270,8
C₄₅:₇C₆ = D₅xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	135		C45:7C6	270,5

Non-split extensions G=N.Q with N=C₄₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅.C₆ = D₅xC₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₄₅	135	2	C45.C6	270,2

׿

x

:

Z

F

o

wr

Q

<