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

Extensions 1→N→G→Q→1 with N=S3×C3×C6 and Q=C22

Direct product G=N×Q with N=S3×C3×C6 and Q=C22
dρLabelID
S3×C2×C62144S3xC2xC6^2432,772

Semidirect products G=N:Q with N=S3×C3×C6 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C3×C6)⋊1C22 = S3×D6⋊S3φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6):1C2^2432,597
(S3×C3×C6)⋊2C22 = S3×C3⋊D12φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6):2C2^2432,598
(S3×C3×C6)⋊3C22 = D6⋊4S32φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6):3C2^2432,599
(S3×C3×C6)⋊4C22 = D6⋊S32φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6):4C2^2432,600
(S3×C3×C6)⋊5C22 = (S3×C6)⋊D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6):5C2^2432,601
(S3×C3×C6)⋊6C22 = C3⋊S3⋊4D12φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6):6C2^2432,602
(S3×C3×C6)⋊7C22 = C3×S3×D12φ: C22/C1 → C22 ⊆ Out S3×C3×C6484(S3xC3xC6):7C2^2432,649
(S3×C3×C6)⋊8C22 = C3×D6⋊D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6484(S3xC3xC6):8C2^2432,650
(S3×C3×C6)⋊9C22 = C3×S3×C3⋊D4φ: C22/C1 → C22 ⊆ Out S3×C3×C6244(S3xC3xC6):9C2^2432,658
(S3×C3×C6)⋊10C22 = C3×Dic3⋊D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6244(S3xC3xC6):10C2^2432,659
(S3×C3×C6)⋊11C22 = C3⋊S3×D12φ: C22/C1 → C22 ⊆ Out S3×C3×C672(S3xC3xC6):11C2^2432,672
(S3×C3×C6)⋊12C22 = C12⋊S32φ: C22/C1 → C22 ⊆ Out S3×C3×C672(S3xC3xC6):12C2^2432,673
(S3×C3×C6)⋊13C22 = C3⋊S3×C3⋊D4φ: C22/C1 → C22 ⊆ Out S3×C3×C672(S3xC3xC6):13C2^2432,685
(S3×C3×C6)⋊14C22 = C62⋊23D6φ: C22/C1 → C22 ⊆ Out S3×C3×C636(S3xC3xC6):14C2^2432,686
(S3×C3×C6)⋊15C22 = C2×S33φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6):15C2^2432,759
(S3×C3×C6)⋊16C22 = C6×D6⋊S3φ: C22/C2 → C2 ⊆ Out S3×C3×C648(S3xC3xC6):16C2^2432,655
(S3×C3×C6)⋊17C22 = C6×C3⋊D12φ: C22/C2 → C2 ⊆ Out S3×C3×C648(S3xC3xC6):17C2^2432,656
(S3×C3×C6)⋊18C22 = C2×C33⋊6D4φ: C22/C2 → C2 ⊆ Out S3×C3×C6144(S3xC3xC6):18C2^2432,680
(S3×C3×C6)⋊19C22 = C2×C33⋊7D4φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):19C2^2432,681
(S3×C3×C6)⋊20C22 = S3×C32⋊7D4φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):20C2^2432,684
(S3×C3×C6)⋊21C22 = C3×C6×D12φ: C22/C2 → C2 ⊆ Out S3×C3×C6144(S3xC3xC6):21C2^2432,702
(S3×C3×C6)⋊22C22 = S3×D4×C32φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):22C2^2432,704
(S3×C3×C6)⋊23C22 = C3×C6×C3⋊D4φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):23C2^2432,709
(S3×C3×C6)⋊24C22 = S32×C2×C6φ: C22/C2 → C2 ⊆ Out S3×C3×C648(S3xC3xC6):24C2^2432,767
(S3×C3×C6)⋊25C22 = C22×S3×C3⋊S3φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6):25C2^2432,768

Non-split extensions G=N.Q with N=S3×C3×C6 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C3×C6).1C22 = S32×Dic3φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6).1C2^2432,594
(S3×C3×C6).2C22 = S3×C6.D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6).2C2^2432,595
(S3×C3×C6).3C22 = S3×C32⋊2Q8φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6).3C2^2432,603
(S3×C3×C6).4C22 = (S3×C6).D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6).4C2^2432,606
(S3×C3×C6).5C22 = D6.S32φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6).5C2^2432,607
(S3×C3×C6).6C22 = D6.4S32φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6).6C2^2432,608
(S3×C3×C6).7C22 = D6.3S32φ: C22/C1 → C22 ⊆ Out S3×C3×C6248+(S3xC3xC6).7C2^2432,609
(S3×C3×C6).8C22 = D6⋊S3⋊S3φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6).8C2^2432,610
(S3×C3×C6).9C22 = D6.6S32φ: C22/C1 → C22 ⊆ Out S3×C3×C6488-(S3xC3xC6).9C2^2432,611
(S3×C3×C6).10C22 = C3×D12⋊5S3φ: C22/C1 → C22 ⊆ Out S3×C3×C6484(S3xC3xC6).10C2^2432,643
(S3×C3×C6).11C22 = C3×D12⋊S3φ: C22/C1 → C22 ⊆ Out S3×C3×C6484(S3xC3xC6).11C2^2432,644
(S3×C3×C6).12C22 = C3×D6.3D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6244(S3xC3xC6).12C2^2432,652
(S3×C3×C6).13C22 = C3×D6.4D6φ: C22/C1 → C22 ⊆ Out S3×C3×C6244(S3xC3xC6).13C2^2432,653
(S3×C3×C6).14C22 = (C3×D12)⋊S3φ: C22/C1 → C22 ⊆ Out S3×C3×C6144(S3xC3xC6).14C2^2432,661
(S3×C3×C6).15C22 = D12⋊(C3⋊S3)φ: C22/C1 → C22 ⊆ Out S3×C3×C672(S3xC3xC6).15C2^2432,662
(S3×C3×C6).16C22 = C62.90D6φ: C22/C1 → C22 ⊆ Out S3×C3×C672(S3xC3xC6).16C2^2432,675
(S3×C3×C6).17C22 = C62.91D6φ: C22/C1 → C22 ⊆ Out S3×C3×C672(S3xC3xC6).17C2^2432,676
(S3×C3×C6).18C22 = C3×S3×Dic6φ: C22/C2 → C2 ⊆ Out S3×C3×C6484(S3xC3xC6).18C2^2432,642
(S3×C3×C6).19C22 = C3×D6.D6φ: C22/C2 → C2 ⊆ Out S3×C3×C6484(S3xC3xC6).19C2^2432,646
(S3×C3×C6).20C22 = C3×D6.6D6φ: C22/C2 → C2 ⊆ Out S3×C3×C6484(S3xC3xC6).20C2^2432,647
(S3×C3×C6).21C22 = S32×C12φ: C22/C2 → C2 ⊆ Out S3×C3×C6484(S3xC3xC6).21C2^2432,648
(S3×C3×C6).22C22 = S3×C6×Dic3φ: C22/C2 → C2 ⊆ Out S3×C3×C648(S3xC3xC6).22C2^2432,651
(S3×C3×C6).23C22 = S3×C32⋊4Q8φ: C22/C2 → C2 ⊆ Out S3×C3×C6144(S3xC3xC6).23C2^2432,660
(S3×C3×C6).24C22 = C12.73S32φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).24C2^2432,667
(S3×C3×C6).25C22 = C12.57S32φ: C22/C2 → C2 ⊆ Out S3×C3×C6144(S3xC3xC6).25C2^2432,668
(S3×C3×C6).26C22 = C12.58S32φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).26C2^2432,669
(S3×C3×C6).27C22 = C4×S3×C3⋊S3φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).27C2^2432,670
(S3×C3×C6).28C22 = S3×C12⋊S3φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).28C2^2432,671
(S3×C3×C6).29C22 = C2×S3×C3⋊Dic3φ: C22/C2 → C2 ⊆ Out S3×C3×C6144(S3xC3xC6).29C2^2432,674
(S3×C3×C6).30C22 = C32×C4○D12φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).30C2^2432,703
(S3×C3×C6).31C22 = C32×D4⋊2S3φ: C22/C2 → C2 ⊆ Out S3×C3×C672(S3xC3xC6).31C2^2432,705
(S3×C3×C6).32C22 = C32×Q8⋊3S3φ: C22/C2 → C2 ⊆ Out S3×C3×C6144(S3xC3xC6).32C2^2432,707
(S3×C3×C6).33C22 = S3×C6×C12φ: trivial image144(S3xC3xC6).33C2^2432,701
(S3×C3×C6).34C22 = S3×Q8×C32φ: trivial image144(S3xC3xC6).34C2^2432,706

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁