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

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

		d	ρ	Label	ID
Dic₃×C₂⁴		192		Dic3xC2^4	192,1528

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁C₂⁴ = C₂²×S₃×D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48		Dic3:1C2^4	192,1514
Dic₃⋊₂C₂⁴ = C₂³×C₃⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	96		Dic3:2C2^4	192,1529
Dic₃⋊₃C₂⁴ = S₃×C₂³×C₄	φ: trivial image	96		Dic3:3C2^4	192,1511

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁C₂⁴ = C₂³×Dic₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	192		Dic3.1C2^4	192,1510
Dic₃.₂C₂⁴ = C₂²×C₄○D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	96		Dic3.2C2^4	192,1513
Dic₃.₃C₂⁴ = C₂×D₄⋊₆D₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48		Dic3.3C2^4	192,1516
Dic₃.₄C₂⁴ = C₂²×S₃×Q₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	96		Dic3.4C2^4	192,1517
Dic₃.₅C₂⁴ = C₂×Q₈.₁₅D₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	96		Dic3.5C2^4	192,1519
Dic₃.₆C₂⁴ = C₂×S₃×C₄○D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48		Dic3.6C2^4	192,1520
Dic₃.₇C₂⁴ = C₂×D₄○D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48		Dic3.7C2^4	192,1521
Dic₃.₈C₂⁴ = C₂×Q₈○D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	96		Dic3.8C2^4	192,1522
Dic₃.₉C₂⁴ = C₆.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48	4	Dic3.9C2^4	192,1523
Dic₃.₁₀C₂⁴ = S₃×2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	24	8+	Dic3.10C2^4	192,1524
Dic₃.₁₁C₂⁴ = D₆.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48	8-	Dic3.11C2^4	192,1525
Dic₃.₁₂C₂⁴ = S₃×2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48	8-	Dic3.12C2^4	192,1526
Dic₃.₁₃C₂⁴ = D₁₂.₃₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out Dic₃	48	8+	Dic3.13C2^4	192,1527
Dic₃.₁₄C₂⁴ = C₂²×D₄⋊₂S₃	φ: trivial image	96		Dic3.14C2^4	192,1515
Dic₃.₁₅C₂⁴ = C₂²×Q₈⋊₃S₃	φ: trivial image	96		Dic3.15C2^4	192,1518

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