Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=D₄

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=D₄

		d	ρ	Label	ID
D₄×C₃⋊Dic₃		144		D4xC3:Dic3	288,791

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁D₄ = C₆².₅₅C₂³	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3:1D4	288,533
C₃⋊Dic₃⋊₂D₄ = C₆².₁₁₃C₂³	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3:2D4	288,619
C₃⋊Dic₃⋊₃D₄ = C₆².₁₂₁C₂³	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3:3D4	288,627
C₃⋊Dic₃⋊₄D₄ = C₄×S₃≀C₂	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:4D4	288,877
C₃⋊Dic₃⋊₅D₄ = S₃²⋊D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:5D4	288,878
C₃⋊Dic₃⋊₆D₄ = C₄⋊S₃≀C₂	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3:6D4	288,879
C₃⋊Dic₃⋊₇D₄ = D₁₂⋊Dic₃	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:7D4	288,546
C₃⋊Dic₃⋊₈D₄ = C₆².₇₂C₂³	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:8D4	288,550
C₃⋊Dic₃⋊₉D₄ = C₆².₈₄C₂³	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:9D4	288,562
C₃⋊Dic₃⋊₁₀D₄ = C₆².₂₅₈C₂³	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:10D4	288,797
C₃⋊Dic₃⋊₁₁D₄ = C₆².₅₁C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:11D4	288,529
C₃⋊Dic₃⋊₁₂D₄ = C₆².₈₂C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:12D4	288,560
C₃⋊Dic₃⋊₁₃D₄ = C₆².₁₁₅C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:13D4	288,621
C₃⋊Dic₃⋊₁₄D₄ = C₆²⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:14D4	288,628
C₃⋊Dic₃⋊₁₅D₄ = C₆².₂₂₈C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:15D4	288,741
C₃⋊Dic₃⋊₁₆D₄ = C₆²⋊₁₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:16D4	288,796
C₃⋊Dic₃⋊₁₇D₄ = C₆².₂₂₅C₂³	φ: trivial image	144		C3:Dic3:17D4	288,738
C₃⋊Dic₃⋊₁₈D₄ = C₆².₂₃₇C₂³	φ: trivial image	144		C3:Dic3:18D4	288,750

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.₁D₄ = S₃²⋊C₈	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.1D4	288,374
C₃⋊Dic₃.₂D₄ = C₄.S₃≀C₂	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.2D4	288,375
C₃⋊Dic₃.₃D₄ = (C₃×C₁₂).D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.3D4	288,376
C₃⋊Dic₃.₄D₄ = C₆².₃D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.4D4	288,387
C₃⋊Dic₃.₅D₄ = C₆².₄D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.5D4	288,388
C₃⋊Dic₃.₆D₄ = Dic₃≀C₂	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4-	C3:Dic3.6D4	288,389
C₃⋊Dic₃.₇D₄ = C₄.₄PSU₃(𝔽₂)	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8	C3:Dic3.7D4	288,392
C₃⋊Dic₃.₈D₄ = C₆².₂Q₈	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.8D4	288,396
C₃⋊Dic₃.₉D₄ = C₃⋊Dic₃.D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4-	C3:Dic3.9D4	288,428
C₃⋊Dic₃.₁₀D₄ = C₃⋊S₃.₅D₈	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.10D4	288,430
C₃⋊Dic₃.₁₁D₄ = C₃⋊S₃.₅Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.11D4	288,432
C₃⋊Dic₃.₁₂D₄ = (C₂×C₆²).C₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.12D4	288,436
C₃⋊Dic₃.₁₃D₄ = C₂₄⋊₆D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.13D4	288,446
C₃⋊Dic₃.₁₄D₄ = D₁₂.₄D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.14D4	288,459
C₃⋊Dic₃.₁₅D₄ = C₆².₁₀C₂³	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.15D4	288,488
C₃⋊Dic₃.₁₆D₄ = D₆⋊₃Dic₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.16D4	288,544
C₃⋊Dic₃.₁₇D₄ = D₆⋊₄Dic₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.17D4	288,547
C₃⋊Dic₃.₁₈D₄ = C₆².₈₃C₂³	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.18D4	288,561
C₃⋊Dic₃.₁₉D₄ = D₁₂⋊D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.19D4	288,574
C₃⋊Dic₃.₂₀D₄ = Dic₆⋊D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.20D4	288,578
C₃⋊Dic₃.₂₁D₄ = D₁₂⋊₅D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.21D4	288,585
C₃⋊Dic₃.₂₂D₄ = D₁₂.₉D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.22D4	288,588
C₃⋊Dic₃.₂₃D₄ = Dic₆.₉D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.23D4	288,592
C₃⋊Dic₃.₂₄D₄ = D₁₂.₁₅D₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.24D4	288,599
C₃⋊Dic₃.₂₅D₄ = C₆².₉₅C₂³	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.25D4	288,601
C₃⋊Dic₃.₂₆D₄ = S₃²⋊Q₈	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.26D4	288,868
C₃⋊Dic₃.₂₇D₄ = C₄.₄S₃≀C₂	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.27D4	288,869
C₃⋊Dic₃.₂₈D₄ = C₃²⋊C₄⋊Q₈	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.28D4	288,870
C₃⋊Dic₃.₂₉D₄ = C₂×C₃²⋊D₈	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.29D4	288,883
C₃⋊Dic₃.₃₀D₄ = C₆².₁₂D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.30D4	288,884
C₃⋊Dic₃.₃₁D₄ = C₆².₁₃D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.31D4	288,885
C₃⋊Dic₃.₃₂D₄ = C₂×C₃²⋊₂SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.32D4	288,886
C₃⋊Dic₃.₃₃D₄ = C₆².₁₅D₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4-	C3:Dic3.33D4	288,887
C₃⋊Dic₃.₃₄D₄ = C₂×C₃²⋊Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.34D4	288,888
C₃⋊Dic₃.₃₅D₄ = (C₃×C₂₄).C₄	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.35D4	288,418
C₃⋊Dic₃.₃₆D₄ = C₈.(C₃²⋊C₄)	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.36D4	288,419
C₃⋊Dic₃.₃₇D₄ = (C₃×C₁₂)⋊₄C₈	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.37D4	288,424
C₃⋊Dic₃.₃₈D₄ = C₃²⋊₅(C₄⋊C₈)	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.38D4	288,427
C₃⋊Dic₃.₃₉D₄ = C₂₄⋊₉D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.39D4	288,444
C₃⋊Dic₃.₄₀D₄ = C₂₄⋊₄D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.40D4	288,445
C₃⋊Dic₃.₄₁D₄ = C₂₄.₂₃D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.41D4	288,450
C₃⋊Dic₃.₄₂D₄ = D₁₂.₂D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.42D4	288,457
C₃⋊Dic₃.₄₃D₄ = D₂₄⋊₅S₃	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.43D4	288,458
C₃⋊Dic₃.₄₄D₄ = C₆².₈₅C₂³	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.44D4	288,563
C₃⋊Dic₃.₄₅D₄ = C₁₂⋊Dic₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.45D4	288,567
C₃⋊Dic₃.₄₆D₄ = C₆².₂₂₉C₂³	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.46D4	288,742
C₃⋊Dic₃.₄₇D₄ = C₁₂⋊₂Dic₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	288		C3:Dic3.47D4	288,745
C₃⋊Dic₃.₄₈D₄ = D₈×C₃⋊S₃	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.48D4	288,767
C₃⋊Dic₃.₄₉D₄ = SD₁₆×C₃⋊S₃	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.49D4	288,770
C₃⋊Dic₃.₅₀D₄ = Q₁₆×C₃⋊S₃	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.50D4	288,774
C₃⋊Dic₃.₅₁D₄ = C₆².₆(C₂×C₄)	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.51D4	288,426
C₃⋊Dic₃.₅₂D₄ = C₃²⋊₆C₄≀C₂	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.52D4	288,431
C₃⋊Dic₃.₅₃D₄ = C₃²⋊₇C₄≀C₂	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.53D4	288,433
C₃⋊Dic₃.₅₄D₄ = C₆²⋊₃C₈	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.54D4	288,435
C₃⋊Dic₃.₅₅D₄ = C₆².₃₅C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.55D4	288,513
C₃⋊Dic₃.₅₆D₄ = D₁₂.D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.56D4	288,575
C₃⋊Dic₃.₅₇D₄ = Dic₆.D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.57D4	288,579
C₃⋊Dic₃.₅₈D₄ = D₁₂.₈D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.58D4	288,584
C₃⋊Dic₃.₅₉D₄ = D₁₂.₁₀D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.59D4	288,589
C₃⋊Dic₃.₆₀D₄ = Dic₆.₁₀D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.60D4	288,593
C₃⋊Dic₃.₆₁D₄ = D₁₂.₁₄D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.61D4	288,598
C₃⋊Dic₃.₆₂D₄ = C₆²⋊₄Q₈	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.62D4	288,630
C₃⋊Dic₃.₆₃D₄ = C₆²⋊₆Q₈	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.63D4	288,735
C₃⋊Dic₃.₆₄D₄ = C₆².₂₄₀C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.64D4	288,753
C₃⋊Dic₃.₆₅D₄ = C₂₄⋊₈D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.65D4	288,768
C₃⋊Dic₃.₆₆D₄ = C₂₄⋊₇D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.66D4	288,771
C₃⋊Dic₃.₆₇D₄ = C₂₄.₃₂D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.67D4	288,772
C₃⋊Dic₃.₆₈D₄ = C₂₄.₃₅D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.68D4	288,775
C₃⋊Dic₃.₆₉D₄ = C₂₄.₂₆D₆	φ: trivial image	144		C3:Dic3.69D4	288,769
C₃⋊Dic₃.₇₀D₄ = C₂₄.₄₀D₆	φ: trivial image	144		C3:Dic3.70D4	288,773
C₃⋊Dic₃.₇₁D₄ = C₂₄.₂₈D₆	φ: trivial image	144		C3:Dic3.71D4	288,776

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Extensions 1→N→G→Q→1 with N=C3⋊Dic3 and Q=D4

Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=D₄