Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂₄

Direct product G=NxQ with N=C₃ and Q=S₃xC₂₄

		d	ρ	Label	ID
S₃xC₃xC₂₄		144		S3xC3xC24	432,464

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₂₄) = C₃xC₁₂.₂₉D₆	φ: S₃xC₂₄/C₃xC₃:C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(S3xC24)	432,415
C₃:₂(S₃xC₂₄) = C₃:S₃xC₂₄	φ: S₃xC₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	144		C3:2(S3xC24)	432,480
C₃:₃(S₃xC₂₄) = C₃xS₃xC₃:C₈	φ: S₃xC₂₄/S₃xC₁₂ → C₂ ⊆ Aut C₃	48	4	C3:3(S3xC24)	432,414

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₂₄) = D₉xC₂₄	φ: S₃xC₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(S3xC24)	432,105
C₃.₂(S₃xC₂₄) = C₈xC₃²:C₆	φ: S₃xC₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6	C3.2(S3xC24)	432,115
C₃.₃(S₃xC₂₄) = C₈xC₉:C₆	φ: S₃xC₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6	C3.3(S3xC24)	432,120
C₃.₄(S₃xC₂₄) = S₃xC₇₂	central extension (φ=1)	144	2	C3.4(S3xC24)	432,109

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