Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₃xS₃

Direct product G=NxQ with N=C₂⁴ and Q=C₃xS₃

		d	ρ	Label	ID
S₃xC₂³xC₆		96		S3xC2^3xC6	288,1043

Semidirect products G=N:Q with N=C₂⁴ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:₁(C₃xS₃) = A₄xS₄	φ: C₃xS₃/C₁ → C₃xS₃ ⊆ Aut C₂⁴	16	9+	C2^4:1(C3xS3)	288,1024
C₂⁴:₂(C₃xS₃) = A₄wrC₂	φ: C₃xS₃/C₁ → C₃xS₃ ⊆ Aut C₂⁴	8	6+	C2^4:2(C3xS3)	288,1025
C₂⁴:₃(C₃xS₃) = C₃xA₄:D₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₂⁴	36	6	C2^4:3(C3xS3)	288,906
C₂⁴:₄(C₃xS₃) = C₂xC₆xS₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₂⁴	36		C2^4:4(C3xS3)	288,1033
C₂⁴:₅(C₃xS₃) = C₃xC₂²:S₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₂⁴	24	6	C2^4:5(C3xS3)	288,1035
C₂⁴:₆(C₃xS₃) = (C₂²xS₃):A₄	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₂⁴	24	6	C2^4:6(C3xS3)	288,411
C₂⁴:₇(C₃xS₃) = A₄xC₃:D₄	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₂⁴	36	6	C2^4:7(C3xS3)	288,928
C₂⁴:₈(C₃xS₃) = C₂²xS₃xA₄	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₂⁴	36		C2^4:8(C3xS3)	288,1037
C₂⁴:₉(C₃xS₃) = S₃xC₂²:A₄	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₂⁴	36		C2^4:9(C3xS3)	288,1038
C₂⁴:₁₀(C₃xS₃) = C₃xC₂⁴:₄S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂⁴	24		C2^4:10(C3xS3)	288,724
C₂⁴:₁₁(C₃xS₃) = C₂xC₆xC₃:D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂⁴	48		C2^4:11(C3xS3)	288,1002

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.(C₃xS₃) = C₆xA₄:C₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₂⁴	72		C2^4.(C3xS3)	288,905
C₂⁴.₂(C₃xS₃) = C₂xDic₃xA₄	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₂⁴	72		C2^4.2(C3xS3)	288,927
C₂⁴.₃(C₃xS₃) = C₆xC₆.D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂⁴	48		C2^4.3(C3xS3)	288,723
C₂⁴.₄(C₃xS₃) = Dic₃xC₂²xC₆	central extension (φ=1)	96		C2^4.4(C3xS3)	288,1001

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