Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C5×C4⋊Dic3 and Q=C2

Direct product G=N×Q with N=C5×C4⋊Dic3 and Q=C2
dρLabelID
C10×C4⋊Dic3480C10xC4:Dic3480,804

Semidirect products G=N:Q with N=C5×C4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊Dic3)⋊1C2 = D60⋊15C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):1C2480,45
(C5×C4⋊Dic3)⋊2C2 = (C4×D5)⋊Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):2C2480,434
(C5×C4⋊Dic3)⋊3C2 = C60.68D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):3C2480,436
(C5×C4⋊Dic3)⋊4C2 = D5×C4⋊Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):4C2480,488
(C5×C4⋊Dic3)⋊5C2 = D60⋊17C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):5C2480,494
(C5×C4⋊Dic3)⋊6C2 = C12⋊7D20φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):6C2480,526
(C5×C4⋊Dic3)⋊7C2 = C30.D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):7C2480,40
(C5×C4⋊Dic3)⋊8C2 = (C4×D15)⋊8C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):8C2480,423
(C5×C4⋊Dic3)⋊9C2 = D30⋊10Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):9C2480,466
(C5×C4⋊Dic3)⋊10C2 = D20⋊8Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):10C2480,510
(C5×C4⋊Dic3)⋊11C2 = D30.2Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):11C2480,513
(C5×C4⋊Dic3)⋊12C2 = C12⋊2D20φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):12C2480,541
(C5×C4⋊Dic3)⋊13C2 = C5×C2.D24φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):13C2480,140
(C5×C4⋊Dic3)⋊14C2 = C4⋊Dic3⋊D5φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):14C2480,413
(C5×C4⋊Dic3)⋊15C2 = D30.D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):15C2480,432
(C5×C4⋊Dic3)⋊16C2 = (C2×C12).D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):16C2480,437
(C5×C4⋊Dic3)⋊17C2 = D10.16D12φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):17C2480,489
(C5×C4⋊Dic3)⋊18C2 = D30⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):18C2480,495
(C5×C4⋊Dic3)⋊19C2 = Dic15.D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):19C2480,506
(C5×C4⋊Dic3)⋊20C2 = C5×Dic3.D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):20C2480,757
(C5×C4⋊Dic3)⋊21C2 = C5×C23.8D6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):21C2480,758
(C5×C4⋊Dic3)⋊22C2 = C5×C23.9D6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):22C2480,762
(C5×C4⋊Dic3)⋊23C2 = C5×C23.21D6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):23C2480,765
(C5×C4⋊Dic3)⋊24C2 = C5×C4.D12φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):24C2480,776
(C5×C4⋊Dic3)⋊25C2 = C5×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):25C2480,777
(C5×C4⋊Dic3)⋊26C2 = C5×C12.48D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):26C2480,803
(C5×C4⋊Dic3)⋊27C2 = C5×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):27C2480,809
(C5×C4⋊Dic3)⋊28C2 = C5×D4⋊Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):28C2480,151
(C5×C4⋊Dic3)⋊29C2 = C5×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):29C2480,770
(C5×C4⋊Dic3)⋊30C2 = C5×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):30C2480,771
(C5×C4⋊Dic3)⋊31C2 = C5×D4×Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):31C2480,813
(C5×C4⋊Dic3)⋊32C2 = C5×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):32C2480,817
(C5×C4⋊Dic3)⋊33C2 = C5×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3240(C5xC4:Dic3):33C2480,825
(C5×C4⋊Dic3)⋊34C2 = C20×D12φ: trivial image240(C5xC4:Dic3):34C2480,752
(C5×C4⋊Dic3)⋊35C2 = C5×C23.26D6φ: trivial image240(C5xC4:Dic3):35C2480,805

Non-split extensions G=N.Q with N=C5×C4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊Dic3).1C2 = Dic30⋊15C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).1C2480,51
(C5×C4⋊Dic3).2C2 = C60.7Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).2C2480,61
(C5×C4⋊Dic3).3C2 = C60.8Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).3C2480,64
(C5×C4⋊Dic3).4C2 = Dic30⋊17C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).4C2480,409
(C5×C4⋊Dic3).5C2 = C20.Dic6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).5C2480,464
(C5×C4⋊Dic3).6C2 = C60⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).6C2480,544
(C5×C4⋊Dic3).7C2 = C30.Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).7C2480,46
(C5×C4⋊Dic3).8C2 = C30.SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).8C2480,62
(C5×C4⋊Dic3).9C2 = C30.20D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).9C2480,65
(C5×C4⋊Dic3).10C2 = Dic15⋊6Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).10C2480,407
(C5×C4⋊Dic3).11C2 = C12.Dic10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).11C2480,460
(C5×C4⋊Dic3).12C2 = C20⋊Dic6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).12C2480,546
(C5×C4⋊Dic3).13C2 = C5×C2.Dic12φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).13C2480,135
(C5×C4⋊Dic3).14C2 = C5×C8⋊Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).14C2480,136
(C5×C4⋊Dic3).15C2 = C5×C24⋊1C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).15C2480,137
(C5×C4⋊Dic3).16C2 = Dic5.2Dic6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).16C2480,411
(C5×C4⋊Dic3).17C2 = Dic15.Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).17C2480,412
(C5×C4⋊Dic3).18C2 = C5×C12⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).18C2480,748
(C5×C4⋊Dic3).19C2 = C5×C12.6Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).19C2480,749
(C5×C4⋊Dic3).20C2 = C5×Dic3.Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).20C2480,768
(C5×C4⋊Dic3).21C2 = C5×C4.Dic6φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).21C2480,769
(C5×C4⋊Dic3).22C2 = C5×C6.Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).22C2480,126
(C5×C4⋊Dic3).23C2 = C5×C12.Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).23C2480,127
(C5×C4⋊Dic3).24C2 = C5×Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).24C2480,154
(C5×C4⋊Dic3).25C2 = C5×C12⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).25C2480,767
(C5×C4⋊Dic3).26C2 = C5×Q8×Dic3φ: C2/C1 → C2 ⊆ Out C5×C4⋊Dic3480(C5xC4:Dic3).26C2480,824
(C5×C4⋊Dic3).27C2 = C20×Dic6φ: trivial image480(C5xC4:Dic3).27C2480,747

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁