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Extensions 1→N→G→Q→1 with N=D10⋊Dic3 and Q=C2

Direct product G=N×Q with N=D10⋊Dic3 and Q=C2
dρLabelID
C2×D10⋊Dic3240C2xD10:Dic3480,611

Semidirect products G=N:Q with N=D10⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊Dic3⋊1C2 = Dic3⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:1C2480,424
D10⋊Dic3⋊2C2 = Dic3.D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:2C2480,429
D10⋊Dic3⋊3C2 = D30.34D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:3C2480,430
D10⋊Dic3⋊4C2 = D30.D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:4C2480,432
D10⋊Dic3⋊5C2 = C60.44D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:5C2480,440
D10⋊Dic3⋊6C2 = C60.88D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:6C2480,444
D10⋊Dic3⋊7C2 = (C6×D5).D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:7C2480,483
D10⋊Dic3⋊8C2 = Dic15⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:8C2480,484
D10⋊Dic3⋊9C2 = Dic3⋊D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:9C2480,485
D10⋊Dic3⋊10C2 = Dic3×D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:10C2480,501
D10⋊Dic3⋊11C2 = D20⋊8Dic3φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:11C2480,510
D10⋊Dic3⋊12C2 = D6⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:12C2480,516
D10⋊Dic3⋊13C2 = C15⋊20(C4×D4)φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:13C2480,520
D10⋊Dic3⋊14C2 = D6⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:14C2480,523
D10⋊Dic3⋊15C2 = D10⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:15C2480,528
D10⋊Dic3⋊16C2 = (C2×Dic6)⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:16C2480,531
D10⋊Dic3⋊17C2 = C60⋊4D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:17C2480,532
D10⋊Dic3⋊18C2 = D6.9D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:18C2480,533
D10⋊Dic3⋊19C2 = Dic15.10D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:19C2480,538
D10⋊Dic3⋊20C2 = Dic15.31D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:20C2480,540
D10⋊Dic3⋊21C2 = C12⋊2D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:21C2480,541
D10⋊Dic3⋊22C2 = S3×D10⋊C4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:22C2480,548
D10⋊Dic3⋊23C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:23C2480,549
D10⋊Dic3⋊24C2 = D6⋊4D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:24C2480,550
D10⋊Dic3⋊25C2 = D30⋊6D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:25C2480,609
D10⋊Dic3⋊26C2 = C6.(D4×D5)φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:26C2480,610
D10⋊Dic3⋊27C2 = (C2×C30).D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:27C2480,612
D10⋊Dic3⋊28C2 = C6.(C2×D20)φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:28C2480,613
D10⋊Dic3⋊29C2 = D5×C6.D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:29C2480,623
D10⋊Dic3⋊30C2 = C23.17(S3×D5)φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:30C2480,624
D10⋊Dic3⋊31C2 = Dic3×C5⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:31C2480,629
D10⋊Dic3⋊32C2 = Dic15⋊16D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:32C2480,635
D10⋊Dic3⋊33C2 = (C2×C30)⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:33C2480,639
D10⋊Dic3⋊34C2 = (C2×C6)⋊8D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:34C2480,640
D10⋊Dic3⋊35C2 = (S3×C10)⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:35C2480,641
D10⋊Dic3⋊36C2 = (C2×C6)⋊D20φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:36C2480,645
D10⋊Dic3⋊37C2 = Dic15⋊18D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3:37C2480,647
D10⋊Dic3⋊38C2 = D30⋊8D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3120D10:Dic3:38C2480,653
D10⋊Dic3⋊39C2 = C4×C15⋊D4φ: trivial image240D10:Dic3:39C2480,515
D10⋊Dic3⋊40C2 = C4×C3⋊D20φ: trivial image240D10:Dic3:40C2480,519

Non-split extensions G=N.Q with N=D10⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊Dic3.1C2 = D10⋊Dic6φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.1C2480,425
D10⋊Dic3.2C2 = (C4×D5)⋊Dic3φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.2C2480,434
D10⋊Dic3.3C2 = C60.67D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.3C2480,435
D10⋊Dic3.4C2 = C60.68D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.4C2480,436
D10⋊Dic3.5C2 = (C2×C12).D10φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.5C2480,437
D10⋊Dic3.6C2 = (C2×C60).C22φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.6C2480,438
D10⋊Dic3.7C2 = (C4×Dic3)⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.7C2480,439
D10⋊Dic3.8C2 = (C4×Dic15)⋊C2φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.8C2480,442
D10⋊Dic3.9C2 = (D5×Dic3)⋊C4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.9C2480,469
D10⋊Dic3.10C2 = D10.19(C4×S3)φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.10C2480,470
D10⋊Dic3.11C2 = D10⋊1Dic6φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.11C2480,497
D10⋊Dic3.12C2 = D10⋊2Dic6φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.12C2480,498
D10⋊Dic3.13C2 = Dic15.D4φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.13C2480,506
D10⋊Dic3.14C2 = D10⋊4Dic6φ: C2/C1 → C2 ⊆ Out D10⋊Dic3240D10:Dic3.14C2480,507
D10⋊Dic3.15C2 = (D5×C12)⋊C4φ: trivial image240D10:Dic3.15C2480,433

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