Extensions 1→N→G→Q→1 with N=D₆⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=D₆⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₆⋊Dic₃		96		C2xD6:Dic3	288,608

Semidirect products G=N:Q with N=D₆⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₆⋊Dic₃⋊₁C₂ = Dic₃.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:1C2	288,500
D₆⋊Dic₃⋊₂C₂ = C₁₂.₂₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:2C2	288,508
D₆⋊Dic₃⋊₃C₂ = Dic₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:3C2	288,540
D₆⋊Dic₃⋊₄C₂ = D₆⋊₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:4C2	288,556
D₆⋊Dic₃⋊₅C₂ = S₃×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:5C2	288,568
D₆⋊Dic₃⋊₆C₂ = C₆².₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:6C2	288,609
D₆⋊Dic₃⋊₇C₂ = Dic₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:7C2	288,620
D₆⋊Dic₃⋊₈C₂ = C₆²⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:8C2	288,626
D₆⋊Dic₃⋊₉C₂ = Dic₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:9C2	288,534
D₆⋊Dic₃⋊₁₀C₂ = D₆.₉D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:10C2	288,539
D₆⋊Dic₃⋊₁₁C₂ = C₆².₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:11C2	288,553
D₆⋊Dic₃⋊₁₂C₂ = C₆².₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:12C2	288,563
D₆⋊Dic₃⋊₁₃C₂ = C₁₂⋊₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:13C2	288,564
D₆⋊Dic₃⋊₁₄C₂ = D₆⋊₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:14C2	288,570
D₆⋊Dic₃⋊₁₅C₂ = C₆².₅₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:15C2	288,610
D₆⋊Dic₃⋊₁₆C₂ = C₆².₁₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:16C2	288,617
D₆⋊Dic₃⋊₁₇C₂ = C₆²⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:17C2	288,625
D₆⋊Dic₃⋊₁₈C₂ = C₆².₂₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:18C2	288,502
D₆⋊Dic₃⋊₁₉C₂ = C₆².₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:19C2	288,527
D₆⋊Dic₃⋊₂₀C₂ = C₆².₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:20C2	288,533
D₆⋊Dic₃⋊₂₁C₂ = D₁₂⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:21C2	288,546
D₆⋊Dic₃⋊₂₂C₂ = C₆².₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:22C2	288,552
D₆⋊Dic₃⋊₂₃C₂ = C₆².₈₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:23C2	288,561
D₆⋊Dic₃⋊₂₄C₂ = C₆².₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:24C2	288,569
D₆⋊Dic₃⋊₂₅C₂ = C₆².₁₀₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:25C2	288,606
D₆⋊Dic₃⋊₂₆C₂ = C₆².₁₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:26C2	288,607
D₆⋊Dic₃⋊₂₇C₂ = S₃×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:27C2	288,616
D₆⋊Dic₃⋊₂₈C₂ = C₆².₁₁₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:28C2	288,621
D₆⋊Dic₃⋊₂₉C₂ = C₆².₂₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:29C2	288,498
D₆⋊Dic₃⋊₃₀C₂ = C₆².₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:30C2	288,501
D₆⋊Dic₃⋊₃₁C₂ = C₆².₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:31C2	288,511
D₆⋊Dic₃⋊₃₂C₂ = C₆².₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3:32C2	288,532
D₆⋊Dic₃⋊₃₃C₂ = C₆².₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:33C2	288,555
D₆⋊Dic₃⋊₃₄C₂ = C₆².₁₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:34C2	288,618
D₆⋊Dic₃⋊₃₅C₂ = C₆²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:35C2	288,624
D₆⋊Dic₃⋊₃₆C₂ = C₆²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:36C2	288,628
D₆⋊Dic₃⋊₃₇C₂ = C₆².₁₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	48	D6:Dic3:37C2	288,631
D₆⋊Dic₃⋊₃₈C₂ = C₄×D₆⋊S₃	φ: trivial image	96	D6:Dic3:38C2	288,549
D₆⋊Dic₃⋊₃₉C₂ = C₄×C₃⋊D₁₂	φ: trivial image	48	D6:Dic3:39C2	288,551

Non-split extensions G=N.Q with N=D₆⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₆⋊Dic₃.₁C₂ = C₆².₂₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.1C2	288,507
D₆⋊Dic₃.₂C₂ = C₆².₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.2C2	288,525
D₆⋊Dic₃.₃C₂ = D₆⋊₇Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.3C2	288,505
D₆⋊Dic₃.₄C₂ = C₆².₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.4C2	288,506
D₆⋊Dic₃.₅C₂ = C₆².₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.5C2	288,510
D₆⋊Dic₃.₆C₂ = D₆⋊₂Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.6C2	288,541
D₆⋊Dic₃.₇C₂ = D₆⋊₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.7C2	288,547
D₆⋊Dic₃.₈C₂ = C₆².₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.8C2	288,489
D₆⋊Dic₃.₉C₂ = C₆².₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.9C2	288,509
D₆⋊Dic₃.₁₀C₂ = C₆².₄₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.10C2	288,526
D₆⋊Dic₃.₁₁C₂ = D₆⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.11C2	288,499
D₆⋊Dic₃.₁₂C₂ = D₆⋊₆Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.12C2	288,504
D₆⋊Dic₃.₁₃C₂ = D₆⋊₁Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.13C2	288,535
D₆⋊Dic₃.₁₄C₂ = D₆⋊₃Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊Dic₃	96	D6:Dic3.14C2	288,544
D₆⋊Dic₃.₁₅C₂ = C₆².₂₅C₂³	φ: trivial image	96	D6:Dic3.15C2	288,503

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Extensions 1→N→G→Q→1 with N=D6⋊Dic3 and Q=C2

Extensions 1→N→G→Q→1 with N=D₆⋊Dic₃ and Q=C₂