Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₄:₂S₃

Direct product G=NxQ with N=C₃ and Q=C₂₄:₂S₃

		d	ρ	Label	ID
C₃xC₂₄:₂S₃		144		C3xC24:2S3	432,482

Semidirect products G=N:Q with N=C₃ and Q=C₂₄:₂S₃

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₂₄:₂S₃) = C₃³:₂₁SD₁₆	φ: C₂₄:₂S₃/C₃xC₂₄ → C₂ ⊆ Aut C₃	216	C3:1(C24:2S3)	432,498
C₃:₂(C₂₄:₂S₃) = C₃³:₁₇SD₁₆	φ: C₂₄:₂S₃/C₃²:₄Q₈ → C₂ ⊆ Aut C₃	72	C3:2(C24:2S3)	432,444
C₃:₃(C₂₄:₂S₃) = C₃³:₁₆SD₁₆	φ: C₂₄:₂S₃/C₁₂:S₃ → C₂ ⊆ Aut C₃	144	C3:3(C24:2S3)	432,443

Non-split extensions G=N.Q with N=C₃ and Q=C₂₄:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂₄:₂S₃) = C₂₄:D₉	φ: C₂₄:₂S₃/C₃xC₂₄ → C₂ ⊆ Aut C₃	216		C3.(C24:2S3)	432,171
C₃.₂(C₂₄:₂S₃) = He₃:₇SD₁₆	central stem extension (φ=1)	72	6	C3.2(C24:2S3)	432,175

Extensions 1→N→G→Q→1 with N=C3 and Q=C24:2S3