Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂₁

Direct product G=NxQ with N=C₃ and Q=S₃xC₂₁

		d	ρ	Label	ID
S₃xC₃xC₂₁		126		S3xC3xC21	378,54

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(S₃xC₂₁) = C₃:S₃xC₂₁	φ: S₃xC₂₁/C₃xC₂₁ → C₂ ⊆ Aut C₃	126		C3:(S3xC21)	378,56

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₂₁) = D₉xC₂₁	φ: S₃xC₂₁/C₃xC₂₁ → C₂ ⊆ Aut C₃	126	2	C3.1(S3xC21)	378,32
C₃.₂(S₃xC₂₁) = C₇xC₃²:C₆	φ: S₃xC₂₁/C₃xC₂₁ → C₂ ⊆ Aut C₃	63	6	C3.2(S3xC21)	378,34
C₃.₃(S₃xC₂₁) = C₇xC₉:C₆	φ: S₃xC₂₁/C₃xC₂₁ → C₂ ⊆ Aut C₃	63	6	C3.3(S3xC21)	378,35
C₃.₄(S₃xC₂₁) = S₃xC₆₃	central extension (φ=1)	126	2	C3.4(S3xC21)	378,33

׿

x

:

Z

F

o

wr

Q

<