Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₈:S₃

Direct product G=NxQ with N=C₃ and Q=C₃xC₈:S₃

		d	ρ	Label	ID
C₃²xC₈:S₃		144		C3^2xC8:S3	432,465

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₈:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₈:S₃) = C₃xC₁₂.₃₁D₆	φ: C₃xC₈:S₃/C₃xC₃:C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC8:S3)	432,417
C₃:₂(C₃xC₈:S₃) = C₃xC₂₄:S₃	φ: C₃xC₈:S₃/C₃xC₂₄ → C₂ ⊆ Aut C₃	144		C3:2(C3xC8:S3)	432,481
C₃:₃(C₃xC₈:S₃) = C₃xD₆.Dic₃	φ: C₃xC₈:S₃/S₃xC₁₂ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC8:S3)	432,416

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₈:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₈:S₃) = C₃xC₈:D₉	φ: C₃xC₈:S₃/C₃xC₂₄ → C₂ ⊆ Aut C₃	144	2	C3.1(C3xC8:S3)	432,106
C₃.₂(C₃xC₈:S₃) = He₃:₅M₄(2)	φ: C₃xC₈:S₃/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6	C3.2(C3xC8:S3)	432,116
C₃.₃(C₃xC₈:S₃) = C₇₂:C₆	φ: C₃xC₈:S₃/C₃xC₂₄ → C₂ ⊆ Aut C₃	72	6	C3.3(C3xC8:S3)	432,121
C₃.₄(C₃xC₈:S₃) = C₉xC₈:S₃	central extension (φ=1)	144	2	C3.4(C3xC8:S3)	432,110

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