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

Extensions 1→N→G→Q→1 with N=C3×Q8 and Q=C2×C6

Direct product G=N×Q with N=C3×Q8 and Q=C2×C6
dρLabelID
Q8×C62288Q8xC6^2288,1020

Semidirect products G=N:Q with N=C3×Q8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C3×Q8)⋊(C2×C6) = C2×S3×SL2(𝔽3)φ: C2×C6/C2 → C6 ⊆ Out C3×Q848(C3xQ8):(C2xC6)288,922
(C3×Q8)⋊2(C2×C6) = C3×S3×SD16φ: C2×C6/C3 → C22 ⊆ Out C3×Q8484(C3xQ8):2(C2xC6)288,684
(C3×Q8)⋊3(C2×C6) = C3×Q8⋊3D6φ: C2×C6/C3 → C22 ⊆ Out C3×Q8484(C3xQ8):3(C2xC6)288,685
(C3×Q8)⋊4(C2×C6) = C2×C6×SL2(𝔽3)φ: C2×C6/C22 → C3 ⊆ Out C3×Q896(C3xQ8):4(C2xC6)288,981
(C3×Q8)⋊5(C2×C6) = C6×Q8⋊2S3φ: C2×C6/C6 → C2 ⊆ Out C3×Q896(C3xQ8):5(C2xC6)288,712
(C3×Q8)⋊6(C2×C6) = C3×D4⋊D6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8):6(C2xC6)288,720
(C3×Q8)⋊7(C2×C6) = S3×C6×Q8φ: C2×C6/C6 → C2 ⊆ Out C3×Q896(C3xQ8):7(C2xC6)288,995
(C3×Q8)⋊8(C2×C6) = C6×Q8⋊3S3φ: C2×C6/C6 → C2 ⊆ Out C3×Q896(C3xQ8):8(C2xC6)288,996
(C3×Q8)⋊9(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8):9(C2xC6)288,998
(C3×Q8)⋊10(C2×C6) = C3×D4○D12φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8):10(C2xC6)288,999
(C3×Q8)⋊11(C2×C6) = SD16×C3×C6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8144(C3xQ8):11(C2xC6)288,830
(C3×Q8)⋊12(C2×C6) = C32×C8⋊C22φ: C2×C6/C6 → C2 ⊆ Out C3×Q872(C3xQ8):12(C2xC6)288,833
(C3×Q8)⋊13(C2×C6) = C4○D4×C3×C6φ: trivial image144(C3xQ8):13(C2xC6)288,1021
(C3×Q8)⋊14(C2×C6) = C32×2+ 1+4φ: trivial image72(C3xQ8):14(C2xC6)288,1022

Non-split extensions G=N.Q with N=C3×Q8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C3×Q8).1(C2×C6) = C2×Dic3.A4φ: C2×C6/C2 → C6 ⊆ Out C3×Q896(C3xQ8).1(C2xC6)288,921
(C3×Q8).2(C2×C6) = SL2(𝔽3).11D6φ: C2×C6/C2 → C6 ⊆ Out C3×Q8484(C3xQ8).2(C2xC6)288,923
(C3×Q8).3(C2×C6) = Dic6.A4φ: C2×C6/C2 → C6 ⊆ Out C3×Q8724+(C3xQ8).3(C2xC6)288,924
(C3×Q8).4(C2×C6) = S3×C4.A4φ: C2×C6/C2 → C6 ⊆ Out C3×Q8484(C3xQ8).4(C2xC6)288,925
(C3×Q8).5(C2×C6) = D12.A4φ: C2×C6/C2 → C6 ⊆ Out C3×Q8484-(C3xQ8).5(C2xC6)288,926
(C3×Q8).6(C2×C6) = C3×D4.D6φ: C2×C6/C3 → C22 ⊆ Out C3×Q8484(C3xQ8).6(C2xC6)288,686
(C3×Q8).7(C2×C6) = C3×Q8.7D6φ: C2×C6/C3 → C22 ⊆ Out C3×Q8484(C3xQ8).7(C2xC6)288,687
(C3×Q8).8(C2×C6) = C3×S3×Q16φ: C2×C6/C3 → C22 ⊆ Out C3×Q8964(C3xQ8).8(C2xC6)288,688
(C3×Q8).9(C2×C6) = C3×Q16⋊S3φ: C2×C6/C3 → C22 ⊆ Out C3×Q8964(C3xQ8).9(C2xC6)288,689
(C3×Q8).10(C2×C6) = C3×D24⋊C2φ: C2×C6/C3 → C22 ⊆ Out C3×Q8964(C3xQ8).10(C2xC6)288,690
(C3×Q8).11(C2×C6) = C22×Q8⋊C9φ: C2×C6/C22 → C3 ⊆ Out C3×Q8288(C3xQ8).11(C2xC6)288,345
(C3×Q8).12(C2×C6) = C2×Q8.C18φ: C2×C6/C22 → C3 ⊆ Out C3×Q8144(C3xQ8).12(C2xC6)288,347
(C3×Q8).13(C2×C6) = 2+ 1+4⋊C9φ: C2×C6/C22 → C3 ⊆ Out C3×Q8724(C3xQ8).13(C2xC6)288,348
(C3×Q8).14(C2×C6) = 2- 1+4⋊C9φ: C2×C6/C22 → C3 ⊆ Out C3×Q81444(C3xQ8).14(C2xC6)288,349
(C3×Q8).15(C2×C6) = C6×C4.A4φ: C2×C6/C22 → C3 ⊆ Out C3×Q896(C3xQ8).15(C2xC6)288,983
(C3×Q8).16(C2×C6) = C3×Q8.A4φ: C2×C6/C22 → C3 ⊆ Out C3×Q8724(C3xQ8).16(C2xC6)288,984
(C3×Q8).17(C2×C6) = C3×D4.A4φ: C2×C6/C22 → C3 ⊆ Out C3×Q8484(C3xQ8).17(C2xC6)288,985
(C3×Q8).18(C2×C6) = C3×Q8.11D6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8).18(C2xC6)288,713
(C3×Q8).19(C2×C6) = C6×C3⋊Q16φ: C2×C6/C6 → C2 ⊆ Out C3×Q896(C3xQ8).19(C2xC6)288,714
(C3×Q8).20(C2×C6) = C3×Q8.13D6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8).20(C2xC6)288,721
(C3×Q8).21(C2×C6) = C3×Q8.14D6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8).21(C2xC6)288,722
(C3×Q8).22(C2×C6) = C3×Q8.15D6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8).22(C2xC6)288,997
(C3×Q8).23(C2×C6) = C3×Q8○D12φ: C2×C6/C6 → C2 ⊆ Out C3×Q8484(C3xQ8).23(C2xC6)288,1000
(C3×Q8).24(C2×C6) = SD16×C18φ: C2×C6/C6 → C2 ⊆ Out C3×Q8144(C3xQ8).24(C2xC6)288,183
(C3×Q8).25(C2×C6) = Q16×C18φ: C2×C6/C6 → C2 ⊆ Out C3×Q8288(C3xQ8).25(C2xC6)288,184
(C3×Q8).26(C2×C6) = C9×C4○D8φ: C2×C6/C6 → C2 ⊆ Out C3×Q81442(C3xQ8).26(C2xC6)288,185
(C3×Q8).27(C2×C6) = C9×C8⋊C22φ: C2×C6/C6 → C2 ⊆ Out C3×Q8724(C3xQ8).27(C2xC6)288,186
(C3×Q8).28(C2×C6) = C9×C8.C22φ: C2×C6/C6 → C2 ⊆ Out C3×Q81444(C3xQ8).28(C2xC6)288,187
(C3×Q8).29(C2×C6) = Q16×C3×C6φ: C2×C6/C6 → C2 ⊆ Out C3×Q8288(C3xQ8).29(C2xC6)288,831
(C3×Q8).30(C2×C6) = C32×C4○D8φ: C2×C6/C6 → C2 ⊆ Out C3×Q8144(C3xQ8).30(C2xC6)288,832
(C3×Q8).31(C2×C6) = C32×C8.C22φ: C2×C6/C6 → C2 ⊆ Out C3×Q8144(C3xQ8).31(C2xC6)288,834
(C3×Q8).32(C2×C6) = Q8×C2×C18φ: trivial image288(C3xQ8).32(C2xC6)288,369
(C3×Q8).33(C2×C6) = C4○D4×C18φ: trivial image144(C3xQ8).33(C2xC6)288,370
(C3×Q8).34(C2×C6) = C9×2+ 1+4φ: trivial image724(C3xQ8).34(C2xC6)288,371
(C3×Q8).35(C2×C6) = C9×2- 1+4φ: trivial image1444(C3xQ8).35(C2xC6)288,372
(C3×Q8).36(C2×C6) = C32×2- 1+4φ: trivial image144(C3xQ8).36(C2xC6)288,1023

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁