direct product, metacyclic, supersoluble, monomial, A-group
Aliases: C3×C19⋊C6, C57⋊2C6, D19⋊C32, C19⋊C3⋊C6, C19⋊(C3×C6), (C3×D19)⋊C3, (C3×C19⋊C3)⋊2C2, SmallGroup(342,9)
Series: Derived ►Chief ►Lower central ►Upper central
| C19 — C3×C19⋊C6 |
Generators and relations for C3×C19⋊C6
G = < a,b,c | a3=b19=c6=1, ab=ba, ac=ca, cbc-1=b12 >
Character table of C3×C19⋊C6
| class | 1 | 2 | 3A | 3B | 3C | 3D | 3E | 3F | 3G | 3H | 6A | 6B | 6C | 6D | 6E | 6F | 6G | 6H | 19A | 19B | 19C | 57A | 57B | 57C | 57D | 57E | 57F | |
| size | 1 | 19 | 1 | 1 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | |
| ρ1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | trivial |
| ρ2 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | linear of order 2 |
| ρ3 | 1 | -1 | ζ32 | ζ3 | ζ3 | ζ32 | 1 | ζ3 | ζ32 | 1 | ζ6 | ζ65 | ζ6 | -1 | ζ65 | ζ6 | -1 | ζ65 | 1 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | linear of order 6 |
| ρ4 | 1 | -1 | ζ32 | ζ3 | ζ32 | 1 | ζ32 | 1 | ζ3 | ζ3 | ζ65 | ζ65 | ζ6 | ζ65 | ζ6 | -1 | ζ6 | -1 | 1 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | linear of order 6 |
| ρ5 | 1 | 1 | 1 | 1 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | ζ32 | ζ3 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | linear of order 3 |
| ρ6 | 1 | 1 | 1 | 1 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | ζ3 | ζ32 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | linear of order 3 |
| ρ7 | 1 | 1 | ζ3 | ζ32 | ζ32 | ζ3 | 1 | ζ32 | ζ3 | 1 | ζ3 | ζ32 | ζ3 | 1 | ζ32 | ζ3 | 1 | ζ32 | 1 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | linear of order 3 |
| ρ8 | 1 | -1 | ζ3 | ζ32 | ζ3 | 1 | ζ3 | 1 | ζ32 | ζ32 | ζ6 | ζ6 | ζ65 | ζ6 | ζ65 | -1 | ζ65 | -1 | 1 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | linear of order 6 |
| ρ9 | 1 | 1 | ζ32 | ζ3 | ζ32 | 1 | ζ32 | 1 | ζ3 | ζ3 | ζ3 | ζ3 | ζ32 | ζ3 | ζ32 | 1 | ζ32 | 1 | 1 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | linear of order 3 |
| ρ10 | 1 | -1 | ζ3 | ζ32 | 1 | ζ32 | ζ32 | ζ3 | 1 | ζ3 | -1 | ζ6 | ζ65 | ζ65 | -1 | ζ6 | ζ6 | ζ65 | 1 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | linear of order 6 |
| ρ11 | 1 | 1 | ζ32 | ζ3 | 1 | ζ3 | ζ3 | ζ32 | 1 | ζ32 | 1 | ζ3 | ζ32 | ζ32 | 1 | ζ3 | ζ3 | ζ32 | 1 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | linear of order 3 |
| ρ12 | 1 | 1 | ζ3 | ζ32 | 1 | ζ32 | ζ32 | ζ3 | 1 | ζ3 | 1 | ζ32 | ζ3 | ζ3 | 1 | ζ32 | ζ32 | ζ3 | 1 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | linear of order 3 |
| ρ13 | 1 | -1 | 1 | 1 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | ζ3 | ζ6 | -1 | -1 | ζ65 | ζ65 | ζ65 | ζ6 | ζ6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | linear of order 6 |
| ρ14 | 1 | -1 | ζ32 | ζ3 | 1 | ζ3 | ζ3 | ζ32 | 1 | ζ32 | -1 | ζ65 | ζ6 | ζ6 | -1 | ζ65 | ζ65 | ζ6 | 1 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | linear of order 6 |
| ρ15 | 1 | -1 | 1 | 1 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | ζ32 | ζ65 | -1 | -1 | ζ6 | ζ6 | ζ6 | ζ65 | ζ65 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | linear of order 6 |
| ρ16 | 1 | 1 | ζ3 | ζ32 | ζ3 | 1 | ζ3 | 1 | ζ32 | ζ32 | ζ32 | ζ32 | ζ3 | ζ32 | ζ3 | 1 | ζ3 | 1 | 1 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | linear of order 3 |
| ρ17 | 1 | 1 | ζ32 | ζ3 | ζ3 | ζ32 | 1 | ζ3 | ζ32 | 1 | ζ32 | ζ3 | ζ32 | 1 | ζ3 | ζ32 | 1 | ζ3 | 1 | 1 | 1 | ζ32 | ζ32 | ζ32 | ζ3 | ζ3 | ζ3 | linear of order 3 |
| ρ18 | 1 | -1 | ζ3 | ζ32 | ζ32 | ζ3 | 1 | ζ32 | ζ3 | 1 | ζ65 | ζ6 | ζ65 | -1 | ζ6 | ζ65 | -1 | ζ6 | 1 | 1 | 1 | ζ3 | ζ3 | ζ3 | ζ32 | ζ32 | ζ32 | linear of order 6 |
| ρ19 | 6 | 0 | 6 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | orthogonal lifted from C19⋊C6 |
| ρ20 | 6 | 0 | 6 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | orthogonal lifted from C19⋊C6 |
| ρ21 | 6 | 0 | 6 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | orthogonal lifted from C19⋊C6 |
| ρ22 | 6 | 0 | -3-3√-3 | -3+3√-3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ32ζ1915+ζ32ζ1913+ζ32ζ1910+ζ32ζ199+ζ32ζ196+ζ32ζ194 | ζ32ζ1917+ζ32ζ1916+ζ32ζ1914+ζ32ζ195+ζ32ζ193+ζ32ζ192 | ζ32ζ1918+ζ32ζ1912+ζ32ζ1911+ζ32ζ198+ζ32ζ197+ζ32ζ19 | ζ3ζ1915+ζ3ζ1913+ζ3ζ1910+ζ3ζ199+ζ3ζ196+ζ3ζ194 | ζ3ζ1918+ζ3ζ1912+ζ3ζ1911+ζ3ζ198+ζ3ζ197+ζ3ζ19 | ζ3ζ1917+ζ3ζ1916+ζ3ζ1914+ζ3ζ195+ζ3ζ193+ζ3ζ192 | complex faithful |
| ρ23 | 6 | 0 | -3+3√-3 | -3-3√-3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ3ζ1918+ζ3ζ1912+ζ3ζ1911+ζ3ζ198+ζ3ζ197+ζ3ζ19 | ζ3ζ1915+ζ3ζ1913+ζ3ζ1910+ζ3ζ199+ζ3ζ196+ζ3ζ194 | ζ3ζ1917+ζ3ζ1916+ζ3ζ1914+ζ3ζ195+ζ3ζ193+ζ3ζ192 | ζ32ζ1918+ζ32ζ1912+ζ32ζ1911+ζ32ζ198+ζ32ζ197+ζ32ζ19 | ζ32ζ1917+ζ32ζ1916+ζ32ζ1914+ζ32ζ195+ζ32ζ193+ζ32ζ192 | ζ32ζ1915+ζ32ζ1913+ζ32ζ1910+ζ32ζ199+ζ32ζ196+ζ32ζ194 | complex faithful |
| ρ24 | 6 | 0 | -3-3√-3 | -3+3√-3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ32ζ1917+ζ32ζ1916+ζ32ζ1914+ζ32ζ195+ζ32ζ193+ζ32ζ192 | ζ32ζ1918+ζ32ζ1912+ζ32ζ1911+ζ32ζ198+ζ32ζ197+ζ32ζ19 | ζ32ζ1915+ζ32ζ1913+ζ32ζ1910+ζ32ζ199+ζ32ζ196+ζ32ζ194 | ζ3ζ1917+ζ3ζ1916+ζ3ζ1914+ζ3ζ195+ζ3ζ193+ζ3ζ192 | ζ3ζ1915+ζ3ζ1913+ζ3ζ1910+ζ3ζ199+ζ3ζ196+ζ3ζ194 | ζ3ζ1918+ζ3ζ1912+ζ3ζ1911+ζ3ζ198+ζ3ζ197+ζ3ζ19 | complex faithful |
| ρ25 | 6 | 0 | -3-3√-3 | -3+3√-3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ32ζ1918+ζ32ζ1912+ζ32ζ1911+ζ32ζ198+ζ32ζ197+ζ32ζ19 | ζ32ζ1915+ζ32ζ1913+ζ32ζ1910+ζ32ζ199+ζ32ζ196+ζ32ζ194 | ζ32ζ1917+ζ32ζ1916+ζ32ζ1914+ζ32ζ195+ζ32ζ193+ζ32ζ192 | ζ3ζ1918+ζ3ζ1912+ζ3ζ1911+ζ3ζ198+ζ3ζ197+ζ3ζ19 | ζ3ζ1917+ζ3ζ1916+ζ3ζ1914+ζ3ζ195+ζ3ζ193+ζ3ζ192 | ζ3ζ1915+ζ3ζ1913+ζ3ζ1910+ζ3ζ199+ζ3ζ196+ζ3ζ194 | complex faithful |
| ρ26 | 6 | 0 | -3+3√-3 | -3-3√-3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ3ζ1917+ζ3ζ1916+ζ3ζ1914+ζ3ζ195+ζ3ζ193+ζ3ζ192 | ζ3ζ1918+ζ3ζ1912+ζ3ζ1911+ζ3ζ198+ζ3ζ197+ζ3ζ19 | ζ3ζ1915+ζ3ζ1913+ζ3ζ1910+ζ3ζ199+ζ3ζ196+ζ3ζ194 | ζ32ζ1917+ζ32ζ1916+ζ32ζ1914+ζ32ζ195+ζ32ζ193+ζ32ζ192 | ζ32ζ1915+ζ32ζ1913+ζ32ζ1910+ζ32ζ199+ζ32ζ196+ζ32ζ194 | ζ32ζ1918+ζ32ζ1912+ζ32ζ1911+ζ32ζ198+ζ32ζ197+ζ32ζ19 | complex faithful |
| ρ27 | 6 | 0 | -3+3√-3 | -3-3√-3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ1915+ζ1913+ζ1910+ζ199+ζ196+ζ194 | ζ1918+ζ1912+ζ1911+ζ198+ζ197+ζ19 | ζ1917+ζ1916+ζ1914+ζ195+ζ193+ζ192 | ζ3ζ1915+ζ3ζ1913+ζ3ζ1910+ζ3ζ199+ζ3ζ196+ζ3ζ194 | ζ3ζ1917+ζ3ζ1916+ζ3ζ1914+ζ3ζ195+ζ3ζ193+ζ3ζ192 | ζ3ζ1918+ζ3ζ1912+ζ3ζ1911+ζ3ζ198+ζ3ζ197+ζ3ζ19 | ζ32ζ1915+ζ32ζ1913+ζ32ζ1910+ζ32ζ199+ζ32ζ196+ζ32ζ194 | ζ32ζ1918+ζ32ζ1912+ζ32ζ1911+ζ32ζ198+ζ32ζ197+ζ32ζ19 | ζ32ζ1917+ζ32ζ1916+ζ32ζ1914+ζ32ζ195+ζ32ζ193+ζ32ζ192 | complex faithful |
►On 57 points
Generators in S57
(1 39 20)(2 40 21)(3 41 22)(4 42 23)(5 43 24)(6 44 25)(7 45 26)(8 46 27)(9 47 28)(10 48 29)(11 49 30)(12 50 31)(13 51 32)(14 52 33)(15 53 34)(16 54 35)(17 55 36)(18 56 37)(19 57 38)
(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19)(20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38)(39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57)
(1 39 20)(2 47 27 19 50 32)(3 55 34 18 42 25)(4 44 22 17 53 37)(5 52 29 16 45 30)(6 41 36 15 56 23)(7 49 24 14 48 35)(8 57 31 13 40 28)(9 46 38 12 51 21)(10 54 26 11 43 33)
G:=sub<Sym(57)| (1,39,20)(2,40,21)(3,41,22)(4,42,23)(5,43,24)(6,44,25)(7,45,26)(8,46,27)(9,47,28)(10,48,29)(11,49,30)(12,50,31)(13,51,32)(14,52,33)(15,53,34)(16,54,35)(17,55,36)(18,56,37)(19,57,38), (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38)(39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57), (1,39,20)(2,47,27,19,50,32)(3,55,34,18,42,25)(4,44,22,17,53,37)(5,52,29,16,45,30)(6,41,36,15,56,23)(7,49,24,14,48,35)(8,57,31,13,40,28)(9,46,38,12,51,21)(10,54,26,11,43,33)>;
G:=Group( (1,39,20)(2,40,21)(3,41,22)(4,42,23)(5,43,24)(6,44,25)(7,45,26)(8,46,27)(9,47,28)(10,48,29)(11,49,30)(12,50,31)(13,51,32)(14,52,33)(15,53,34)(16,54,35)(17,55,36)(18,56,37)(19,57,38), (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38)(39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57), (1,39,20)(2,47,27,19,50,32)(3,55,34,18,42,25)(4,44,22,17,53,37)(5,52,29,16,45,30)(6,41,36,15,56,23)(7,49,24,14,48,35)(8,57,31,13,40,28)(9,46,38,12,51,21)(10,54,26,11,43,33) );
G=PermutationGroup([[(1,39,20),(2,40,21),(3,41,22),(4,42,23),(5,43,24),(6,44,25),(7,45,26),(8,46,27),(9,47,28),(10,48,29),(11,49,30),(12,50,31),(13,51,32),(14,52,33),(15,53,34),(16,54,35),(17,55,36),(18,56,37),(19,57,38)], [(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19),(20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38),(39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57)], [(1,39,20),(2,47,27,19,50,32),(3,55,34,18,42,25),(4,44,22,17,53,37),(5,52,29,16,45,30),(6,41,36,15,56,23),(7,49,24,14,48,35),(8,57,31,13,40,28),(9,46,38,12,51,21),(10,54,26,11,43,33)]])
Matrix representation of C3×C19⋊C6 ►in GL6(𝔽229)
| 134 | 0 | 0 | 0 | 0 | 0 |
| 0 | 134 | 0 | 0 | 0 | 0 |
| 0 | 0 | 134 | 0 | 0 | 0 |
| 0 | 0 | 0 | 134 | 0 | 0 |
| 0 | 0 | 0 | 0 | 134 | 0 |
| 0 | 0 | 0 | 0 | 0 | 134 |
| 91 | 9 | 220 | 138 | 109 | 228 |
| 92 | 9 | 220 | 138 | 109 | 228 |
| 91 | 10 | 220 | 138 | 109 | 228 |
| 91 | 9 | 221 | 138 | 109 | 228 |
| 91 | 9 | 220 | 139 | 109 | 228 |
| 91 | 9 | 220 | 138 | 110 | 228 |
| 168 | 72 | 64 | 138 | 73 | 50 |
| 0 | 0 | 0 | 0 | 134 | 0 |
| 138 | 53 | 65 | 80 | 88 | 179 |
| 222 | 91 | 72 | 141 | 77 | 134 |
| 0 | 0 | 134 | 0 | 0 | 0 |
| 77 | 141 | 72 | 91 | 222 | 84 |
G:=sub<GL(6,GF(229))| [134,0,0,0,0,0,0,134,0,0,0,0,0,0,134,0,0,0,0,0,0,134,0,0,0,0,0,0,134,0,0,0,0,0,0,134],[91,92,91,91,91,91,9,9,10,9,9,9,220,220,220,221,220,220,138,138,138,138,139,138,109,109,109,109,109,110,228,228,228,228,228,228],[168,0,138,222,0,77,72,0,53,91,0,141,64,0,65,72,134,72,138,0,80,141,0,91,73,134,88,77,0,222,50,0,179,134,0,84] >;
C3×C19⋊C6 in GAP, Magma, Sage, TeX
C_3\times C_{19}\rtimes C_6 % in TeX
G:=Group("C3xC19:C6"); // GroupNames label
G:=SmallGroup(342,9);
// by ID
G=gap.SmallGroup(342,9);
# by ID
G:=PCGroup([4,-2,-3,-3,-19,5187,1015]);
// Polycyclic
G:=Group<a,b,c|a^3=b^19=c^6=1,a*b=b*a,a*c=c*a,c*b*c^-1=b^12>;
// generators/relations
Export
Subgroup lattice of C3×C19⋊C6 in TeX
Character table of C3×C19⋊C6 in TeX