Extensions 1→N→G→Q→1 with N=C₃² and Q=S₃xC₇

Direct product G=NxQ with N=C₃² and Q=S₃xC₇

		d	ρ	Label	ID
S₃xC₃xC₂₁		126		S3xC3xC21	378,54

Semidirect products G=N:Q with N=C₃² and Q=S₃xC₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(S₃xC₇) = C₇xC₃²:C₆	φ: S₃xC₇/C₇ → S₃ ⊆ Aut C₃²	63	6	C3^2:1(S3xC7)	378,34
C₃²:₂(S₃xC₇) = C₇xHe₃:C₂	φ: S₃xC₇/C₇ → S₃ ⊆ Aut C₃²	63	3	C3^2:2(S3xC7)	378,41
C₃²:₃(S₃xC₇) = C₃:S₃xC₂₁	φ: S₃xC₇/C₂₁ → C₂ ⊆ Aut C₃²	126		C3^2:3(S3xC7)	378,56
C₃²:₄(S₃xC₇) = C₇xC₃³:C₂	φ: S₃xC₇/C₂₁ → C₂ ⊆ Aut C₃²	189		C3^2:4(S3xC7)	378,58

Non-split extensions G=N.Q with N=C₃² and Q=S₃xC₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(S₃xC₇) = C₇xC₉:C₆	φ: S₃xC₇/C₇ → S₃ ⊆ Aut C₃²	63	6	C3^2.(S3xC7)	378,35
C₃².₂(S₃xC₇) = D₉xC₂₁	φ: S₃xC₇/C₂₁ → C₂ ⊆ Aut C₃²	126	2	C3^2.2(S3xC7)	378,32
C₃².₃(S₃xC₇) = C₇xC₉:S₃	φ: S₃xC₇/C₂₁ → C₂ ⊆ Aut C₃²	189		C3^2.3(S3xC7)	378,40

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