Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₆

Direct product G=N×Q with N=Dic₆ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×Dic₆		96		C2xS3xDic6	288,942

Semidirect products G=N:Q with N=Dic₆ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁D₆ = C₂₄⋊₉D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	4	Dic6:1D6	288,444
Dic₆⋊₂D₆ = C₂₄⋊₆D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	4	Dic6:2D6	288,446
Dic₆⋊₃D₆ = Dic₆⋊₃D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8+	Dic6:3D6	288,573
Dic₆⋊₄D₆ = Dic₆⋊D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	24	8+	Dic6:4D6	288,578
Dic₆⋊₅D₆ = D₁₂⋊₅D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	24	8+	Dic6:5D6	288,585
Dic₆⋊₆D₆ = S₃×Q₈⋊₂S₃	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8+	Dic6:6D6	288,586
Dic₆⋊₇D₆ = S₃×C₂₄⋊C₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	4	Dic6:7D6	288,440
Dic₆⋊₈D₆ = C₂₄⋊₁D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	4+	Dic6:8D6	288,442
Dic₆⋊₉D₆ = S₃×D₄.S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8-	Dic6:9D6	288,576
Dic₆⋊₁₀D₆ = D₁₂.₇D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8+	Dic6:10D6	288,582
Dic₆⋊₁₁D₆ = S₃×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8-	Dic6:11D6	288,959
Dic₆⋊₁₂D₆ = Dic₆⋊₁₂D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	24	8+	Dic6:12D6	288,960
Dic₆⋊₁₃D₆ = D₁₂⋊₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	24	8+	Dic6:13D6	288,962
Dic₆⋊₁₄D₆ = S₃²×Q₈	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8-	Dic6:14D6	288,965
Dic₆⋊₁₅D₆ = S₃×Q₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8+	Dic6:15D6	288,966
Dic₆⋊₁₆D₆ = D₁₂⋊₁₈D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	24	4+	Dic6:16D6	288,473
Dic₆⋊₁₇D₆ = C₂×C₃²⋊₅SD₁₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48		Dic6:17D6	288,480
Dic₆⋊₁₈D₆ = D₁₂⋊₂₀D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6:18D6	288,471
Dic₆⋊₁₉D₆ = C₂×Dic₆⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:19D6	288,474
Dic₆⋊₂₀D₆ = C₂×D₁₂⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48		Dic6:20D6	288,944
Dic₆⋊₂₁D₆ = C₂×Dic₃.D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48		Dic6:21D6	288,947
Dic₆⋊₂₂D₆ = D₁₂⋊₂₃D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	24	4	Dic6:22D6	288,954
Dic₆⋊₂₃D₆ = D₁₂⋊₂₄D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6:23D6	288,955
Dic₆⋊₂₄D₆ = C₂×D₆.₆D₆	φ: trivial image	48		Dic6:24D6	288,949
Dic₆⋊₂₅D₆ = S₃×C₄○D₁₂	φ: trivial image	48	4	Dic6:25D6	288,953
Dic₆⋊₂₆D₆ = D₁₂⋊₂₇D₆	φ: trivial image	24	4+	Dic6:26D6	288,956

Non-split extensions G=N.Q with N=Dic₆ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁D₆ = C₂₄.₂₃D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	4	Dic6.1D6	288,450
Dic₆.₂D₆ = D₁₂.₂D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	4	Dic6.2D6	288,457
Dic₆.₃D₆ = D₂₄⋊₅S₃	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	4	Dic6.3D6	288,458
Dic₆.₄D₆ = D₁₂.₄D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	4	Dic6.4D6	288,459
Dic₆.₅D₆ = Dic₆.D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8-	Dic6.5D6	288,579
Dic₆.₆D₆ = D₁₂.₂₂D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8-	Dic6.6D6	288,581
Dic₆.₇D₆ = D₁₂.₈D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8-	Dic6.7D6	288,584
Dic₆.₈D₆ = S₃×C₃⋊Q₁₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	96	8-	Dic6.8D6	288,590
Dic₆.₉D₆ = Dic₆.₉D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8-	Dic6.9D6	288,592
Dic₆.₁₀D₆ = Dic₆.₁₀D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8+	Dic6.10D6	288,593
Dic₆.₁₁D₆ = D₁₂.₂₄D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	96	8-	Dic6.11D6	288,594
Dic₆.₁₂D₆ = D₁₂.₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8+	Dic6.12D6	288,598
Dic₆.₁₃D₆ = D₁₂.₁₅D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₆	48	8-	Dic6.13D6	288,599
Dic₆.₁₄D₆ = S₃×Dic₁₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	96	4-	Dic6.14D6	288,447
Dic₆.₁₅D₆ = C₂₄.₃D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	96	4-	Dic6.15D6	288,448
Dic₆.₁₆D₆ = Dic₁₂⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	4	Dic6.16D6	288,449
Dic₆.₁₇D₆ = D₆.₁D₁₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	4	Dic6.17D6	288,454
Dic₆.₁₈D₆ = D₆.₃D₁₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	4+	Dic6.18D6	288,456
Dic₆.₁₉D₆ = Dic₆.₁₉D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8-	Dic6.19D6	288,577
Dic₆.₂₀D₆ = Dic₆.₂₀D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8+	Dic6.20D6	288,583
Dic₆.₂₁D₆ = D₁₂.₁₁D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	96	8-	Dic6.21D6	288,591
Dic₆.₂₂D₆ = Dic₆.₂₂D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8+	Dic6.22D6	288,596
Dic₆.₂₃D₆ = D₁₂.₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8+	Dic6.23D6	288,597
Dic₆.₂₄D₆ = Dic₆.₂₄D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8-	Dic6.24D6	288,957
Dic₆.₂₅D₆ = D₁₂.₂₅D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8-	Dic6.25D6	288,963
Dic₆.₂₆D₆ = Dic₆.₂₆D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₆	48	8+	Dic6.26D6	288,964
Dic₆.₂₇D₆ = D₁₂.₂₇D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.27D6	288,477
Dic₆.₂₈D₆ = D₁₂.₂₉D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4-	Dic6.28D6	288,479
Dic₆.₂₉D₆ = Dic₆.₂₉D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.29D6	288,481
Dic₆.₃₀D₆ = C₂×C₃²⋊₃Q₁₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	96		Dic6.30D6	288,483
Dic₆.₃₁D₆ = D₁₂.₃₀D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.31D6	288,470
Dic₆.₃₂D₆ = D₁₂.₃₂D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.32D6	288,475
Dic₆.₃₃D₆ = C₂×C₃²⋊₂Q₁₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	96		Dic6.33D6	288,482
Dic₆.₃₄D₆ = D₁₂.₃₃D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.34D6	288,945
Dic₆.₃₅D₆ = D₁₂.₃₄D₆	φ: trivial image	48	4-	Dic6.35D6	288,946

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Extensions 1→N→G→Q→1 with N=Dic6 and Q=D6

Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₆