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

Extensions 1→N→G→Q→1 with N=C2×C62 and Q=S3

Direct product G=N×Q with N=C2×C62 and Q=S3
dρLabelID
S3×C2×C62144S3xC2xC6^2432,772

Semidirect products G=N:Q with N=C2×C62 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2×C62)⋊1S3 = C3×C6×S4φ: S3/C1 → S3 ⊆ Aut C2×C6254(C2xC6^2):1S3432,760
(C2×C62)⋊2S3 = C2×He3⋊6D4φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2):2S3432,377
(C2×C62)⋊3S3 = C2×He3⋊7D4φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2):3S3432,399
(C2×C62)⋊4S3 = C2×C62⋊S3φ: S3/C1 → S3 ⊆ Aut C2×C62186+(C2xC6^2):4S3432,535
(C2×C62)⋊5S3 = C2×C32⋊S4φ: S3/C1 → S3 ⊆ Aut C2×C62183(C2xC6^2):5S3432,538
(C2×C62)⋊6S3 = C23×C32⋊C6φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2):6S3432,558
(C2×C62)⋊7S3 = C23×He3⋊C2φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2):7S3432,561
(C2×C62)⋊8S3 = C6×C3⋊S4φ: S3/C1 → S3 ⊆ Aut C2×C62366(C2xC6^2):8S3432,761
(C2×C62)⋊9S3 = C2×C32⋊4S4φ: S3/C1 → S3 ⊆ Aut C2×C6254(C2xC6^2):9S3432,762
(C2×C62)⋊10S3 = C3×C6×C3⋊D4φ: S3/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2):10S3432,709
(C2×C62)⋊11S3 = C6×C32⋊7D4φ: S3/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2):11S3432,719
(C2×C62)⋊12S3 = C2×C33⋊15D4φ: S3/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2):12S3432,729
(C2×C62)⋊13S3 = C3⋊S3×C22×C6φ: S3/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2):13S3432,773
(C2×C62)⋊14S3 = C23×C33⋊C2φ: S3/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2):14S3432,774

Non-split extensions G=N.Q with N=C2×C62 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2×C62).1S3 = C32×A4⋊C4φ: S3/C1 → S3 ⊆ Aut C2×C62108(C2xC6^2).1S3432,615
(C2×C62).2S3 = C62⋊3C12φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2).2S3432,166
(C2×C62).3S3 = C62.27D6φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2).3S3432,167
(C2×C62).4S3 = C62⋊4Dic3φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2).4S3432,199
(C2×C62).5S3 = C62.Dic3φ: S3/C1 → S3 ⊆ Aut C2×C62366-(C2xC6^2).5S3432,249
(C2×C62).6S3 = C3×C6.S4φ: S3/C1 → S3 ⊆ Aut C2×C62366(C2xC6^2).6S3432,250
(C2×C62).7S3 = C62⋊5Dic3φ: S3/C1 → S3 ⊆ Aut C2×C62366-(C2xC6^2).7S3432,251
(C2×C62).8S3 = C62.10Dic3φ: S3/C1 → S3 ⊆ Aut C2×C62108(C2xC6^2).8S3432,259
(C2×C62).9S3 = C62⋊6Dic3φ: S3/C1 → S3 ⊆ Aut C2×C62363(C2xC6^2).9S3432,260
(C2×C62).10S3 = C22×C32⋊C12φ: S3/C1 → S3 ⊆ Aut C2×C62144(C2xC6^2).10S3432,376
(C2×C62).11S3 = C22×C9⋊C12φ: S3/C1 → S3 ⊆ Aut C2×C62144(C2xC6^2).11S3432,378
(C2×C62).12S3 = C2×Dic9⋊C6φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2).12S3432,379
(C2×C62).13S3 = C22×He3⋊3C4φ: S3/C1 → S3 ⊆ Aut C2×C62144(C2xC6^2).13S3432,398
(C2×C62).14S3 = C2×C32.S4φ: S3/C1 → S3 ⊆ Aut C2×C62186+(C2xC6^2).14S3432,533
(C2×C62).15S3 = C6×C3.S4φ: S3/C1 → S3 ⊆ Aut C2×C62366(C2xC6^2).15S3432,534
(C2×C62).16S3 = C2×C32.3S4φ: S3/C1 → S3 ⊆ Aut C2×C6254(C2xC6^2).16S3432,537
(C2×C62).17S3 = C23×C9⋊C6φ: S3/C1 → S3 ⊆ Aut C2×C6272(C2xC6^2).17S3432,559
(C2×C62).18S3 = C3×C6.7S4φ: S3/C1 → S3 ⊆ Aut C2×C62366(C2xC6^2).18S3432,618
(C2×C62).19S3 = C62⋊10Dic3φ: S3/C1 → S3 ⊆ Aut C2×C62108(C2xC6^2).19S3432,621
(C2×C62).20S3 = C32×C6.D4φ: S3/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).20S3432,479
(C2×C62).21S3 = C3×C18.D4φ: S3/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).21S3432,164
(C2×C62).22S3 = C62.127D6φ: S3/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).22S3432,198
(C2×C62).23S3 = C2×C6×Dic9φ: S3/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).23S3432,372
(C2×C62).24S3 = C6×C9⋊D4φ: S3/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).24S3432,374
(C2×C62).25S3 = C22×C9⋊Dic3φ: S3/C3 → C2 ⊆ Aut C2×C62432(C2xC6^2).25S3432,396
(C2×C62).26S3 = C2×C6.D18φ: S3/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).26S3432,397
(C2×C62).27S3 = C3×C62⋊5C4φ: S3/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).27S3432,495
(C2×C62).28S3 = C63.C2φ: S3/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).28S3432,511
(C2×C62).29S3 = D9×C22×C6φ: S3/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).29S3432,556
(C2×C62).30S3 = C23×C9⋊S3φ: S3/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).30S3432,560
(C2×C62).31S3 = C2×C6×C3⋊Dic3φ: S3/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).31S3432,718
(C2×C62).32S3 = C22×C33⋊5C4φ: S3/C3 → C2 ⊆ Aut C2×C62432(C2xC6^2).32S3432,728
(C2×C62).33S3 = Dic3×C62central extension (φ=1)144(C2xC6^2).33S3432,708

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁