Extensions 1→N→G→Q→1 with N=D₁₂ and Q=D₆

Direct product G=N×Q with N=D₁₂ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×D₁₂		48		C2xS3xD12	288,951

Semidirect products G=N:Q with N=D₁₂ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁D₆ = C₂₄⋊₄D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	4	D12:1D6	288,445
D₁₂⋊₂D₆ = C₂₄⋊₆D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	4	D12:2D6	288,446
D₁₂⋊₃D₆ = S₃×D₄⋊S₃	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8+	D12:3D6	288,572
D₁₂⋊₄D₆ = D₁₂⋊D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	24	8+	D12:4D6	288,574
D₁₂⋊₅D₆ = D₁₂⋊₅D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	24	8+	D12:5D6	288,585
D₁₂⋊₆D₆ = D₁₂⋊₆D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8+	D12:6D6	288,587
D₁₂⋊₇D₆ = S₃×D₂₄	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	4+	D12:7D6	288,441
D₁₂⋊₈D₆ = D₂₄⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	4	D12:8D6	288,443
D₁₂⋊₉D₆ = D₁₂⋊₉D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8-	D12:9D6	288,580
D₁₂⋊₁₀D₆ = S₃²×D₄	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	24	8+	D12:10D6	288,958
D₁₂⋊₁₁D₆ = S₃×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8-	D12:11D6	288,959
D₁₂⋊₁₂D₆ = D₁₂⋊₁₂D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8-	D12:12D6	288,961
D₁₂⋊₁₃D₆ = D₁₂⋊₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	24	8+	D12:13D6	288,962
D₁₂⋊₁₄D₆ = S₃×Q₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8+	D12:14D6	288,966
D₁₂⋊₁₅D₆ = D₁₂⋊₁₅D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8-	D12:15D6	288,967
D₁₂⋊₁₆D₆ = D₁₂⋊₁₆D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8+	D12:16D6	288,968
D₁₂⋊₁₇D₆ = C₂×C₃⋊D₂₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48		D12:17D6	288,472
D₁₂⋊₁₈D₆ = D₁₂⋊₁₈D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	24	4+	D12:18D6	288,473
D₁₂⋊₁₉D₆ = C₂×C₃²⋊₂D₈	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	96		D12:19D6	288,469
D₁₂⋊₂₀D₆ = D₁₂⋊₂₀D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12:20D6	288,471
D₁₂⋊₂₁D₆ = C₂×D₁₂⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48		D12:21D6	288,944
D₁₂⋊₂₂D₆ = C₂×D₆⋊D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48		D12:22D6	288,952
D₁₂⋊₂₃D₆ = D₁₂⋊₂₃D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	24	4	D12:23D6	288,954
D₁₂⋊₂₄D₆ = D₁₂⋊₂₄D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12:24D6	288,955
D₁₂⋊₂₅D₆ = C₂×D₁₂⋊₅S₃	φ: trivial image	96		D12:25D6	288,943
D₁₂⋊₂₆D₆ = S₃×C₄○D₁₂	φ: trivial image	48	4	D12:26D6	288,953
D₁₂⋊₂₇D₆ = D₁₂⋊₂₇D₆	φ: trivial image	24	4+	D12:27D6	288,956

Non-split extensions G=N.Q with N=D₁₂ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁D₆ = C₂₄⋊₉D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	4	D12.1D6	288,444
D₁₂.₂D₆ = D₁₂.₂D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	4	D12.2D6	288,457
D₁₂.₃D₆ = D₂₄⋊₅S₃	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	4	D12.3D6	288,458
D₁₂.₄D₆ = D₁₂.₄D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	4	D12.4D6	288,459
D₁₂.₅D₆ = D₁₂.D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8-	D12.5D6	288,575
D₁₂.₆D₆ = S₃×D₄.S₃	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8-	D12.6D6	288,576
D₁₂.₇D₆ = D₁₂.₇D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8+	D12.7D6	288,582
D₁₂.₈D₆ = D₁₂.₈D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8-	D12.8D6	288,584
D₁₂.₉D₆ = D₁₂.₉D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8-	D12.9D6	288,588
D₁₂.₁₀D₆ = D₁₂.₁₀D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8+	D12.10D6	288,589
D₁₂.₁₁D₆ = D₁₂.₁₁D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	96	8-	D12.11D6	288,591
D₁₂.₁₂D₆ = D₁₂.₁₂D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	96	8-	D12.12D6	288,595
D₁₂.₁₃D₆ = D₁₂.₁₃D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8+	D12.13D6	288,597
D₁₂.₁₄D₆ = D₁₂.₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8+	D12.14D6	288,598
D₁₂.₁₅D₆ = D₁₂.₁₅D₆	φ: D₆/C₃ → C₂² ⊆ Out D₁₂	48	8-	D12.15D6	288,599
D₁₂.₁₆D₆ = S₃×C₂₄⋊C₂	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	4	D12.16D6	288,440
D₁₂.₁₇D₆ = C₂₄⋊₁D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	4+	D12.17D6	288,442
D₁₂.₁₈D₆ = C₂₄.₃D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	96	4-	D12.18D6	288,448
D₁₂.₁₉D₆ = D₆.₁D₁₂	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	4	D12.19D6	288,454
D₁₂.₂₀D₆ = D₂₄⋊₇S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	96	4-	D12.20D6	288,455
D₁₂.₂₁D₆ = Dic₆⋊₃D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8+	D12.21D6	288,573
D₁₂.₂₂D₆ = D₁₂.₂₂D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8-	D12.22D6	288,581
D₁₂.₂₃D₆ = S₃×Q₈⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8+	D12.23D6	288,586
D₁₂.₂₄D₆ = D₁₂.₂₄D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	96	8-	D12.24D6	288,594
D₁₂.₂₅D₆ = D₁₂.₂₅D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₂	48	8-	D12.25D6	288,963
D₁₂.₂₆D₆ = C₂×D₁₂.S₃	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	96		D12.26D6	288,476
D₁₂.₂₇D₆ = D₁₂.₂₇D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.27D6	288,477
D₁₂.₂₈D₆ = D₁₂.₂₈D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.28D6	288,478
D₁₂.₂₉D₆ = D₁₂.₂₉D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4-	D12.29D6	288,479
D₁₂.₃₀D₆ = D₁₂.₃₀D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.30D6	288,470
D₁₂.₃₁D₆ = C₂×Dic₆⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	96		D12.31D6	288,474
D₁₂.₃₂D₆ = D₁₂.₃₂D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.32D6	288,475
D₁₂.₃₃D₆ = D₁₂.₃₃D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.33D6	288,945
D₁₂.₃₄D₆ = D₁₂.₃₄D₆	φ: trivial image	48	4-	D12.34D6	288,946

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Extensions 1→N→G→Q→1 with N=D12 and Q=D6

Extensions 1→N→G→Q→1 with N=D₁₂ and Q=D₆