Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xD₂₄

Direct product G=NxQ with N=C₃ and Q=C₃xD₂₄

		d	ρ	Label	ID
C₃²xD₂₄		144		C3^2xD24	432,467

Semidirect products G=N:Q with N=C₃ and Q=C₃xD₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xD₂₄) = C₃xC₃²:₅D₈	φ: C₃xD₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3xD24)	432,483
C₃:₂(C₃xD₂₄) = C₃xC₃:D₂₄	φ: C₃xD₂₄/C₃xD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xD24)	432,419

Non-split extensions G=N.Q with N=C₃ and Q=C₃xD₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xD₂₄) = C₃xD₇₂	φ: C₃xD₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(C3xD24)	432,108
C₃.₂(C₃xD₂₄) = He₃:₄D₈	φ: C₃xD₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6+	C3.2(C3xD24)	432,118
C₃.₃(C₃xD₂₄) = D₇₂:C₃	φ: C₃xD₂₄/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6+	C3.3(C3xD24)	432,123
C₃.₄(C₃xD₂₄) = C₉xD₂₄	central extension (φ=1)	144	2	C3.4(C3xD24)	432,112

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