Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₉oHe₃

Direct product G=NxQ with N=C₃ and Q=C₂xC₉oHe₃

		d	ρ	Label	ID
C₆xC₉oHe₃		162		C6xC9oHe3	486,253

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₉oHe₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂xC₉oHe₃) = S₃xC₉oHe₃	φ: C₂xC₉oHe₃/C₉oHe₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xC9oHe3)	486,226

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₉oHe₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xC₉oHe₃) = C₂xC₉²:₃C₃	central extension (φ=1)	162		C3.1(C2xC9oHe3)	486,193
C₃.₂(C₂xC₉oHe₃) = C₁₈xHe₃	central extension (φ=1)	162		C3.2(C2xC9oHe3)	486,194
C₃.₃(C₂xC₉oHe₃) = C₁₈x3_-¹⁺²	central extension (φ=1)	162		C3.3(C2xC9oHe3)	486,195
C₃.₄(C₂xC₉oHe₃) = C₂xC₉:He₃	central stem extension (φ=1)	162		C3.4(C2xC9oHe3)	486,198
C₃.₅(C₂xC₉oHe₃) = C₂xC₃².₂₃C₃³	central stem extension (φ=1)	162		C3.5(C2xC9oHe3)	486,199
C₃.₆(C₂xC₉oHe₃) = C₂xC₉:3_-¹⁺²	central stem extension (φ=1)	162		C3.6(C2xC9oHe3)	486,200
C₃.₇(C₂xC₉oHe₃) = C₂xC₃³.₃₁C₃²	central stem extension (φ=1)	162		C3.7(C2xC9oHe3)	486,201
C₃.₈(C₂xC₉oHe₃) = C₂xC₉²:₇C₃	central stem extension (φ=1)	162		C3.8(C2xC9oHe3)	486,202
C₃.₉(C₂xC₉oHe₃) = C₂xC₉²:₄C₃	central stem extension (φ=1)	162		C3.9(C2xC9oHe3)	486,203
C₃.₁₀(C₂xC₉oHe₃) = C₂xC₉²:₅C₃	central stem extension (φ=1)	162		C3.10(C2xC9oHe3)	486,204
C₃.₁₁(C₂xC₉oHe₃) = C₂xC₉²:₈C₃	central stem extension (φ=1)	162		C3.11(C2xC9oHe3)	486,205

׿

x

:

Z

F

o

wr

Q

<