Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=Dic₃

Direct product G=NxQ with N=C₂⁴ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂⁴		192		Dic3xC2^4	192,1528

Semidirect products G=N:Q with N=C₂⁴ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:Dic₃ = C₂⁴:Dic₃	φ: Dic₃/C₁ → Dic₃ ⊆ Aut C₂⁴	16	12+	C2^4:Dic3	192,184
C₂⁴:₂Dic₃ = C₂⁵.S₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂⁴	24		C2^4:2Dic3	192,991
C₂⁴:₃Dic₃ = C₂²xA₄:C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂⁴	48		C2^4:3Dic3	192,1487
C₂⁴:₄Dic₃ = C₂⁴:₄Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂⁴	12	6+	C2^4:4Dic3	192,1495
C₂⁴:₅Dic₃ = C₂⁴:₅Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂⁴	24	4	C2^4:5Dic3	192,95
C₂⁴:₆Dic₃ = C₂xC₂³.₇D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂⁴	48		C2^4:6Dic3	192,778
C₂⁴:₇Dic₃ = C₂⁵.₄S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂⁴	48		C2^4:7Dic3	192,806
C₂⁴:₈Dic₃ = C₂²xC₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂⁴	96		C2^4:8Dic3	192,1398

Non-split extensions G=N.Q with N=C₂⁴ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁Dic₃ = C₂xA₄:C₈	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂⁴	48		C2^4.1Dic3	192,967
C₂⁴.₂Dic₃ = A₄:M₄(2)	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂⁴	24	6	C2^4.2Dic3	192,968
C₂⁴.₃Dic₃ = C₂⁴.₃Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂⁴	48		C2^4.3Dic3	192,84
C₂⁴.₄Dic₃ = C₂xC₁₂.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂⁴	48		C2^4.4Dic3	192,775
C₂⁴.₅Dic₃ = C₂xC₁₂.₅₅D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂⁴	96		C2^4.5Dic3	192,765
C₂⁴.₆Dic₃ = C₂⁴.₆Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂⁴	48		C2^4.6Dic3	192,766
C₂⁴.₇Dic₃ = C₂²xC₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂⁴	96		C2^4.7Dic3	192,1340
C₂⁴.₈Dic₃ = C₂³xC₃:C₈	central extension (φ=1)	192		C2^4.8Dic3	192,1339

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