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

Extensions 1→N→G→Q→1 with N=C22×Dic5 and Q=S3

Direct product G=N×Q with N=C22×Dic5 and Q=S3
dρLabelID
C22×S3×Dic5240C2^2xS3xDic5480,1115

Semidirect products G=N:Q with N=C22×Dic5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C22×Dic5)⋊1S3 = Dic5×S4φ: S3/C1 → S3 ⊆ Out C22×Dic5606-(C2^2xDic5):1S3480,976
(C22×Dic5)⋊2S3 = Dic5⋊2S4φ: S3/C1 → S3 ⊆ Out C22×Dic5606(C2^2xDic5):2S3480,977
(C22×Dic5)⋊3S3 = Dic5⋊S4φ: S3/C1 → S3 ⊆ Out C22×Dic5606(C2^2xDic5):3S3480,978
(C22×Dic5)⋊4S3 = C2×D6⋊Dic5φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):4S3480,614
(C22×Dic5)⋊5S3 = C30.(C2×D4)φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):5S3480,615
(C22×Dic5)⋊6S3 = C2×D30⋊4C4φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):6S3480,616
(C22×Dic5)⋊7S3 = C6.D4⋊D5φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):7S3480,622
(C22×Dic5)⋊8S3 = Dic5×C3⋊D4φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):8S3480,627
(C22×Dic5)⋊9S3 = C15⋊26(C4×D4)φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):9S3480,628
(C22×Dic5)⋊10S3 = (C2×C10)⋊4D12φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):10S3480,642
(C22×Dic5)⋊11S3 = C2×Dic3.D10φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):11S3480,1116
(C22×Dic5)⋊12S3 = C22×C5⋊D12φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5):12S3480,1120
(C22×Dic5)⋊13S3 = C22×D30.C2φ: trivial image240(C2^2xDic5):13S3480,1117

Non-split extensions G=N.Q with N=C22×Dic5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C22×Dic5).1S3 = A4⋊Dic10φ: S3/C1 → S3 ⊆ Out C22×Dic51206-(C2^2xDic5).1S3480,975
(C22×Dic5).2S3 = Dic5.S4φ: S3/C1 → S3 ⊆ Out C22×Dic512012-(C2^2xDic5).2S3480,963
(C22×Dic5).3S3 = C30.24C42φ: S3/C3 → C2 ⊆ Out C22×Dic5480(C2^2xDic5).3S3480,70
(C22×Dic5).4S3 = (C6×Dic5)⋊7C4φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5).4S3480,604
(C22×Dic5).5S3 = C2×C30.Q8φ: S3/C3 → C2 ⊆ Out C22×Dic5480(C2^2xDic5).5S3480,617
(C22×Dic5).6S3 = C2×Dic15⋊5C4φ: S3/C3 → C2 ⊆ Out C22×Dic5480(C2^2xDic5).6S3480,620
(C22×Dic5).7S3 = C2×C6.Dic10φ: S3/C3 → C2 ⊆ Out C22×Dic5480(C2^2xDic5).7S3480,621
(C22×Dic5).8S3 = (C2×C30)⋊Q8φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5).8S3480,650
(C22×Dic5).9S3 = C22×C15⋊Q8φ: S3/C3 → C2 ⊆ Out C22×Dic5480(C2^2xDic5).9S3480,1121
(C22×Dic5).10S3 = C30.22M4(2)φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5).10S3480,317
(C22×Dic5).11S3 = C22×C15⋊C8φ: S3/C3 → C2 ⊆ Out C22×Dic5480(C2^2xDic5).11S3480,1070
(C22×Dic5).12S3 = C2×C15⋊8M4(2)φ: S3/C3 → C2 ⊆ Out C22×Dic5240(C2^2xDic5).12S3480,1071
(C22×Dic5).13S3 = C2×Dic3×Dic5φ: trivial image480(C2^2xDic5).13S3480,603

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁