Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₂₄:C₂

Direct product G=NxQ with N=C₃ and Q=C₃xC₂₄:C₂

		d	ρ	Label	ID
C₃²xC₂₄:C₂		144		C3^2xC24:C2	432,466

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₂₄:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₂₄:C₂) = C₃xC₂₄:₂S₃	φ: C₃xC₂₄:C₂/C₃xC₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3xC24:C2)	432,482
C₃:₂(C₃xC₂₄:C₂) = C₃xC₃²:₅SD₁₆	φ: C₃xC₂₄:C₂/C₃xDic₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC24:C2)	432,422
C₃:₃(C₃xC₂₄:C₂) = C₃xD₁₂.S₃	φ: C₃xC₂₄:C₂/C₃xD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC24:C2)	432,421

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₂₄:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₂₄:C₂) = C₃xC₇₂:C₂	φ: C₃xC₂₄:C₂/C₃xC₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(C3xC24:C2)	432,107
C₃.₂(C₃xC₂₄:C₂) = He₃:₆SD₁₆	φ: C₃xC₂₄:C₂/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6	C3.2(C3xC24:C2)	432,117
C₃.₃(C₃xC₂₄:C₂) = C₇₂:₂C₆	φ: C₃xC₂₄:C₂/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6	C3.3(C3xC24:C2)	432,122
C₃.₄(C₃xC₂₄:C₂) = C₉xC₂₄:C₂	central extension (φ=1)	144	2	C3.4(C3xC24:C2)	432,111

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