Extensions 1→N→G→Q→1 with N=Dic₃₀ and Q=C₂²

Direct product G=N×Q with N=Dic₃₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₃₀		480		C2^2xDic30	480,1165

Semidirect products G=N:Q with N=Dic₃₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₀⋊₁C₂² = D₃₀.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:1C2^2	480,558
Dic₃₀⋊₂C₂² = D₅×D₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:2C2^2	480,559
Dic₃₀⋊₃C₂² = S₃×D₄.D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:3C2^2	480,561
Dic₃₀⋊₄C₂² = D₁₂⋊₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:4C2^2	480,565
Dic₃₀⋊₅C₂² = D₂₀⋊₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:5C2^2	480,570
Dic₃₀⋊₆C₂² = D₁₅⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:6C2^2	480,581
Dic₃₀⋊₇C₂² = D₅×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:7C2^2	480,1098
Dic₃₀⋊₈C₂² = S₃×D₄⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:8C2^2	480,1099
Dic₃₀⋊₉C₂² = D₂₀⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:9C2^2	480,1101
Dic₃₀⋊₁₀C₂² = S₃×Q₈×D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:10C2^2	480,1107
Dic₃₀⋊₁₁C₂² = D₂₀⋊₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	8-	Dic30:11C2^2	480,1110
Dic₃₀⋊₁₂C₂² = D₈⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	4	Dic30:12C2^2	480,876
Dic₃₀⋊₁₃C₂² = SD₁₆×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	4	Dic30:13C2^2	480,878
Dic₃₀⋊₁₄C₂² = S₃×C₄₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	4	Dic30:14C2^2	480,327
Dic₃₀⋊₁₅C₂² = D₄₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	4	Dic30:15C2^2	480,330
Dic₃₀⋊₁₆C₂² = D₅×C₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	4	Dic30:16C2^2	480,323
Dic₃₀⋊₁₇C₂² = D₂₄⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	120	4	Dic30:17C2^2	480,326
Dic₃₀⋊₁₈C₂² = C₂×C₂₄⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:18C2^2	480,867
Dic₃₀⋊₁₉C₂² = C₈⋊D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4+	Dic30:19C2^2	480,873
Dic₃₀⋊₂₀C₂² = D₄.D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:20C2^2	480,897
Dic₃₀⋊₂₁C₂² = C₂×D₄.D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:21C2^2	480,898
Dic₃₀⋊₂₂C₂² = C₂×D₄⋊₂D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:22C2^2	480,1170
Dic₃₀⋊₂₃C₂² = D₄⋊₆D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:23C2^2	480,1171
Dic₃₀⋊₂₄C₂² = C₂×Q₈×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:24C2^2	480,1172
Dic₃₀⋊₂₅C₂² = C₄○D₄×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:25C2^2	480,1175
Dic₃₀⋊₂₆C₂² = C₂×C₆.D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:26C2^2	480,386
Dic₃₀⋊₂₇C₂² = D₆₀⋊₃₀C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:27C2^2	480,388
Dic₃₀⋊₂₈C₂² = C₂×D₂₀⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:28C2^2	480,1074
Dic₃₀⋊₂₉C₂² = C₂×S₃×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:29C2^2	480,1078
Dic₃₀⋊₃₀C₂² = S₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:30C2^2	480,1091
Dic₃₀⋊₃₁C₂² = D₂₀⋊₂₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:31C2^2	480,1093
Dic₃₀⋊₃₂C₂² = D₆₀⋊₃₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:32C2^2	480,380
Dic₃₀⋊₃₃C₂² = C₂×D₁₂.D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:33C2^2	480,392
Dic₃₀⋊₃₄C₂² = C₂×D₅×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:34C2^2	480,1073
Dic₃₀⋊₃₅C₂² = C₂×D₁₂⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240		Dic30:35C2^2	480,1084
Dic₃₀⋊₃₆C₂² = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:36C2^2	480,1090
Dic₃₀⋊₃₇C₂² = D₂₀⋊₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:37C2^2	480,1094
Dic₃₀⋊₃₈C₂² = C₂×D₆₀⋊₁₁C₂	φ: trivial image	240		Dic30:38C2^2	480,1168
Dic₃₀⋊₃₉C₂² = D₄⋊₈D₃₀	φ: trivial image	120	4+	Dic30:39C2^2	480,1176

Non-split extensions G=N.Q with N=Dic₃₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₀.₁C₂² = C₆₀.₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.1C2^2	480,560
Dic₃₀.₂C₂² = C₆₀.₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.2C2^2	480,562
Dic₃₀.₃C₂² = D₃₀.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.3C2^2	480,564
Dic₃₀.₄C₂² = D₁₂.₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.4C2^2	480,566
Dic₃₀.₅C₂² = D₂₀.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.5C2^2	480,569
Dic₃₀.₆C₂² = D₂₀.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.6C2^2	480,573
Dic₃₀.₇C₂² = D₃₀.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.7C2^2	480,575
Dic₃₀.₈C₂² = D₅×C₃⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.8C2^2	480,583
Dic₃₀.₉C₂² = D₂₀.₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.9C2^2	480,584
Dic₃₀.₁₀C₂² = S₃×C₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.10C2^2	480,585
Dic₃₀.₁₁C₂² = Dic₁₀.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.11C2^2	480,586
Dic₃₀.₁₂C₂² = D₁₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.12C2^2	480,587
Dic₃₀.₁₃C₂² = D₁₂.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.13C2^2	480,589
Dic₃₀.₁₄C₂² = D₂₀.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.14C2^2	480,590
Dic₃₀.₁₅C₂² = D₂₀.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.15C2^2	480,593
Dic₃₀.₁₆C₂² = D₂₀.₂₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.16C2^2	480,594
Dic₃₀.₁₇C₂² = D₂₀.₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.17C2^2	480,598
Dic₃₀.₁₈C₂² = D₃₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.18C2^2	480,600
Dic₃₀.₁₉C₂² = C₁₅⋊2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.19C2^2	480,1096
Dic₃₀.₂₀C₂² = D₂₀.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.20C2^2	480,1104
Dic₃₀.₂₁C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	8-	Dic30.21C2^2	480,1106
Dic₃₀.₂₂C₂² = D₈⋊₃D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.22C2^2	480,877
Dic₃₀.₂₃C₂² = SD₁₆⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.23C2^2	480,880
Dic₃₀.₂₄C₂² = D₄.₅D₃₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4	Dic30.24C2^2	480,881
Dic₃₀.₂₅C₂² = Q₁₆×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.25C2^2	480,882
Dic₃₀.₂₆C₂² = Q₁₆⋊D₁₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4	Dic30.26C2^2	480,883
Dic₃₀.₂₇C₂² = S₃×Dic₂₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.27C2^2	480,338
Dic₃₀.₂₈C₂² = Dic₂₀⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4	Dic30.28C2^2	480,339
Dic₃₀.₂₉C₂² = D₆.₁D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4	Dic30.29C2^2	480,348
Dic₃₀.₃₀C₂² = D₄₀⋊₇S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.30C2^2	480,349
Dic₃₀.₃₁C₂² = C₄₀.₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.31C2^2	480,350
Dic₃₀.₃₂C₂² = D₅×Dic₁₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.32C2^2	480,335
Dic₃₀.₃₃C₂² = Dic₆₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.33C2^2	480,336
Dic₃₀.₃₄C₂² = C₂₄.₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4	Dic30.34C2^2	480,337
Dic₃₀.₃₅C₂² = C₄₀.₃₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4	Dic30.35C2^2	480,345
Dic₃₀.₃₆C₂² = D₂₄⋊₇D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₃₀	240	4-	Dic30.36C2^2	480,346
Dic₃₀.₃₇C₂² = C₄₀.₆₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	2	Dic30.37C2^2	480,869
Dic₃₀.₃₈C₂² = C₂×Dic₆₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30.38C2^2	480,870
Dic₃₀.₃₉C₂² = C₈.D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.39C2^2	480,874
Dic₃₀.₄₀C₂² = Q₈.₁₁D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.40C2^2	480,907
Dic₃₀.₄₁C₂² = C₂×C₁₅⋊₇Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30.41C2^2	480,908
Dic₃₀.₄₂C₂² = D₄.₈D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.42C2^2	480,915
Dic₃₀.₄₃C₂² = D₄.₉D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.43C2^2	480,916
Dic₃₀.₄₄C₂² = Q₈.₁₅D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.44C2^2	480,1174
Dic₃₀.₄₅C₂² = D₄.₁₀D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.45C2^2	480,1177
Dic₃₀.₄₆C₂² = D₂₀.₃₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.46C2^2	480,387
Dic₃₀.₄₇C₂² = C₆₀.₆₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.47C2^2	480,389
Dic₃₀.₄₈C₂² = C₁₂.D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.48C2^2	480,391
Dic₃₀.₄₉C₂² = C₂×C₃⋊Dic₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30.49C2^2	480,395
Dic₃₀.₅₀C₂² = C₃₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.50C2^2	480,1080
Dic₃₀.₅₁C₂² = C₂₀.₆₀D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.51C2^2	480,379
Dic₃₀.₅₂C₂² = C₂×C₅⋊Dic₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30.52C2^2	480,396
Dic₃₀.₅₃C₂² = C₂₀.D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.53C2^2	480,397
Dic₃₀.₅₄C₂² = D₁₂.₃₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.54C2^2	480,398
Dic₃₀.₅₅C₂² = D₂₀.₃₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.55C2^2	480,1076
Dic₃₀.₅₆C₂² = D₂₀.₃₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.56C2^2	480,1077

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Extensions 1→N→G→Q→1 with N=Dic30 and Q=C22

Extensions 1→N→G→Q→1 with N=Dic₃₀ and Q=C₂²