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

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

		d	ρ	Label	ID
Dic₃×C₂⁴		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 = C₂²×A₄⋊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 = C₂×C₂³.₇D₆	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 = C₂²×C₆.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 = C₂×A₄⋊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 = C₂×C₁₂.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂⁴	48		C2^4.4Dic3	192,775
C₂⁴.₅Dic₃ = C₂×C₁₂.₅₅D₄	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 = C₂²×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂⁴	96		C2^4.7Dic3	192,1340
C₂⁴.₈Dic₃ = C₂³×C₃⋊C₈	central extension (φ=1)	192		C2^4.8Dic3	192,1339

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