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

Extensions 1→N→G→Q→1 with N=C6×Dic3 and Q=S3

Direct product G=N×Q with N=C6×Dic3 and Q=S3
dρLabelID
S3×C6×Dic348S3xC6xDic3432,651

Semidirect products G=N:Q with N=C6×Dic3 and Q=S3
extensionφ:Q→Out NdρLabelID
(C6×Dic3)⋊1S3 = C3×D6⋊Dic3φ: S3/C3 → C2 ⊆ Out C6×Dic348(C6xDic3):1S3432,426
(C6×Dic3)⋊2S3 = C3×C6.D12φ: S3/C3 → C2 ⊆ Out C6×Dic348(C6xDic3):2S3432,427
(C6×Dic3)⋊3S3 = C62.78D6φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3):3S3432,450
(C6×Dic3)⋊4S3 = C62.79D6φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3):4S3432,451
(C6×Dic3)⋊5S3 = C2×C33⋊8D4φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3):5S3432,682
(C6×Dic3)⋊6S3 = C62.93D6φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3):6S3432,678
(C6×Dic3)⋊7S3 = C2×Dic3×C3⋊S3φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3):7S3432,677
(C6×Dic3)⋊8S3 = C2×C33⋊8(C2×C4)φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3):8S3432,679
(C6×Dic3)⋊9S3 = C3×D6.3D6φ: S3/C3 → C2 ⊆ Out C6×Dic3244(C6xDic3):9S3432,652
(C6×Dic3)⋊10S3 = C6×C3⋊D12φ: S3/C3 → C2 ⊆ Out C6×Dic348(C6xDic3):10S3432,656
(C6×Dic3)⋊11S3 = C6×C6.D6φ: trivial image48(C6xDic3):11S3432,654

Non-split extensions G=N.Q with N=C6×Dic3 and Q=S3
extensionφ:Q→Out NdρLabelID
(C6×Dic3).1S3 = Dic9⋊Dic3φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).1S3432,88
(C6×Dic3).2S3 = C18.Dic6φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).2S3432,89
(C6×Dic3).3S3 = D18⋊Dic3φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).3S3432,91
(C6×Dic3).4S3 = C6.18D36φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3).4S3432,92
(C6×Dic3).5S3 = C3×C62.C22φ: S3/C3 → C2 ⊆ Out C6×Dic348(C6xDic3).5S3432,429
(C6×Dic3).6S3 = C62.81D6φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).6S3432,453
(C6×Dic3).7S3 = C62.82D6φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).7S3432,454
(C6×Dic3).8S3 = Dic3⋊Dic9φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).8S3432,90
(C6×Dic3).9S3 = C2×C9⋊Dic6φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).9S3432,303
(C6×Dic3).10S3 = C2×C3⋊D36φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3).10S3432,307
(C6×Dic3).11S3 = C62.80D6φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).11S3432,452
(C6×Dic3).12S3 = C2×C33⋊4Q8φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).12S3432,683
(C6×Dic3).13S3 = D18.3D6φ: S3/C3 → C2 ⊆ Out C6×Dic3724(C6xDic3).13S3432,305
(C6×Dic3).14S3 = Dic3×Dic9φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).14S3432,87
(C6×Dic3).15S3 = C2×Dic3×D9φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).15S3432,304
(C6×Dic3).16S3 = C2×C18.D6φ: S3/C3 → C2 ⊆ Out C6×Dic372(C6xDic3).16S3432,306
(C6×Dic3).17S3 = Dic3×C3⋊Dic3φ: S3/C3 → C2 ⊆ Out C6×Dic3144(C6xDic3).17S3432,448
(C6×Dic3).18S3 = C3×Dic3⋊Dic3φ: S3/C3 → C2 ⊆ Out C6×Dic348(C6xDic3).18S3432,428
(C6×Dic3).19S3 = C6×C32⋊2Q8φ: S3/C3 → C2 ⊆ Out C6×Dic348(C6xDic3).19S3432,657
(C6×Dic3).20S3 = C3×Dic32φ: trivial image48(C6xDic3).20S3432,425

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁