Extensions 1→N→G→Q→1 with N=D4⋊Dic5 and Q=C2

Direct product G=N×Q with N=D4⋊Dic5 and Q=C2
dρLabelID
C2×D4⋊Dic5160C2xD4:Dic5320,841

Semidirect products G=N:Q with N=D4⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊Dic51C2 = Dic5.5D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:1C2320,387
D4⋊Dic52C2 = C4⋊C4.D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:2C2320,391
D4⋊Dic53C2 = D5×D4⋊C4φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:3C2320,396
D4⋊Dic54C2 = (D4×D5)⋊C4φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:4C2320,397
D4⋊Dic55C2 = D4⋊(C4×D5)φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:5C2320,398
D4⋊Dic56C2 = D42D5⋊C4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:6C2320,399
D4⋊Dic57C2 = D10.12D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:7C2320,401
D4⋊Dic58C2 = D10.16SD16φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:8C2320,404
D4⋊Dic59C2 = C406C4⋊C2φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:9C2320,406
D4⋊Dic510C2 = C405C4⋊C2φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:10C2320,411
D4⋊Dic511C2 = C42.48D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:11C2320,641
D4⋊Dic512C2 = (C2×C10).D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:12C2320,660
D4⋊Dic513C2 = C4⋊D4.D5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:13C2320,661
D4⋊Dic514C2 = (C2×D4).D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:14C2320,662
D4⋊Dic515C2 = (C2×C10)⋊D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:15C2320,665
D4⋊Dic516C2 = C4⋊D4⋊D5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:16C2320,666
D4⋊Dic517C2 = C52C823D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:17C2320,668
D4⋊Dic518C2 = C4.(D4×D5)φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:18C2320,669
D4⋊Dic519C2 = D20.23D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:19C2320,684
D4⋊Dic520C2 = C20.16D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:20C2320,697
D4⋊Dic521C2 = C42.72D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:21C2320,698
D4⋊Dic522C2 = C202D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:22C2320,699
D4⋊Dic523C2 = Dic109D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:23C2320,702
D4⋊Dic524C2 = D8×Dic5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:24C2320,776
D4⋊Dic525C2 = Dic5⋊D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:25C2320,777
D4⋊Dic526C2 = D8⋊Dic5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:26C2320,779
D4⋊Dic527C2 = (C2×D8).D5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:27C2320,780
D4⋊Dic528C2 = D20⋊D4φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:28C2320,783
D4⋊Dic529C2 = C406D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:29C2320,784
D4⋊Dic530C2 = Dic10⋊D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:30C2320,785
D4⋊Dic531C2 = C4012D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:31C2320,786
D4⋊Dic532C2 = Dic55SD16φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:32C2320,790
D4⋊Dic533C2 = D106SD16φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:33C2320,796
D4⋊Dic534C2 = C4014D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:34C2320,798
D4⋊Dic535C2 = Dic10.16D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:35C2320,800
D4⋊Dic536C2 = C408D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:36C2320,801
D4⋊Dic537C2 = (D4×C10)⋊18C4φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:37C2320,842
D4⋊Dic538C2 = (C2×C10)⋊8D8φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:38C2320,844
D4⋊Dic539C2 = (C5×D4).31D4φ: C2/C1C2 ⊆ Out D4⋊Dic580D4:Dic5:39C2320,845
D4⋊Dic540C2 = C4○D4⋊Dic5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:40C2320,859
D4⋊Dic541C2 = (C5×D4)⋊14D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:41C2320,865
D4⋊Dic542C2 = (C5×D4).32D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5:42C2320,866
D4⋊Dic543C2 = C4×D4⋊D5φ: trivial image160D4:Dic5:43C2320,640
D4⋊Dic544C2 = C20.(C2×D4)φ: trivial image160D4:Dic5:44C2320,860

Non-split extensions G=N.Q with N=D4⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊Dic5.1C2 = Dic5.14D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.1C2320,386
D4⋊Dic5.2C2 = D4⋊Dic10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.2C2320,388
D4⋊Dic5.3C2 = D4.Dic10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.3C2320,390
D4⋊Dic5.4C2 = C20⋊Q8⋊C2φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.4C2320,392
D4⋊Dic5.5C2 = D4.2Dic10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.5C2320,393
D4⋊Dic5.6C2 = (C8×Dic5)⋊C2φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.6C2320,395
D4⋊Dic5.7C2 = C20.50D8φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.7C2320,634
D4⋊Dic5.8C2 = C20.38SD16φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.8C2320,635
D4⋊Dic5.9C2 = D4.3Dic10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.9C2320,636
D4⋊Dic5.10C2 = C42.51D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.10C2320,645
D4⋊Dic5.11C2 = C42.61D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.11C2320,681
D4⋊Dic5.12C2 = C42.62D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.12C2320,682
D4⋊Dic5.13C2 = C42.213D10φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.13C2320,683
D4⋊Dic5.14C2 = SD16×Dic5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.14C2320,788
D4⋊Dic5.15C2 = SD16⋊Dic5φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.15C2320,791
D4⋊Dic5.16C2 = (C5×Q8).D4φ: C2/C1C2 ⊆ Out D4⋊Dic5160D4:Dic5.16C2320,793
D4⋊Dic5.17C2 = C4×D4.D5φ: trivial image160D4:Dic5.17C2320,644

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