Finite Group Databasebeta

← Group #10773146

Character table — Group #10773146

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222224444444446688888888888888812121212121212161616161616161616161624242424242432484848
order1222344446664888812121212222244446612121224242424444888846881212122424242444444412488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-11-1-1-111-1-1111111111111-1-11-11-1-111-1-11-11-1-1-1-1-11-1
χ311111111111111111111111-11-11-1-1-1-111111111111111-11-11-1-1-1-1-111-11-11-1-1-1-1-11
χ411111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1-1-1
χ6111111111111111111111-1-11-11-1-1-111-1-111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-11-1111-11-11
χ7111111111111111111111-1-1-11-11-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111-11-111-111-1
χ8111111111111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-11-111
χ91111111111111-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1
χ101111111111111-1-1-1-11111111-11-1-1-111-1-11-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111-11-1-1-111-11
χ111111111111111-1-1-1-1111111-11-11-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-11-11-1-1111-1
χ121111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1111111-1-1-1-111-1-111
χ131111111111111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1111
χ141111111111111-1-1-1-11111-1-11-11-1-1-111-1-11-1-1-1-1-1-1-111111-1-111-1-1-1-111-11-11111-11-1
χ151111111111111-1-1-1-11111-1-1-11-11-1-1-1-1111-1-1-1-1-1-1-11111111-1-1-1-111-1-11-11-1111-1-11
χ161111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11111111111-1-1-11-1-1
χ17222222-22-2222-200002-22-222020-20000-2-2-20000-22-2000002000000000020-2000000
χ18222222-22-2222-200002-22-2220-202000022-20000-22-200000-20000000000-202000000
χ19222222-22-2222-200002-22-2-2-2020-20000-2-2-200002-220000020000000000-202000000
χ20222222-22-2222-200002-22-2-2-20-202000022-200002-2200000-2000000000020-2000000
χ2122222-22-22222-20000-22-222220-20002200-20000-2-2200000000-200000020-20000000
χ2222222-22-22222-20000-22-2222-202000-2-200-20000-2-22000000002000000-2020000000
χ2322222-22-22222-20000-22-22-2-220-20002200-2000022-200000000-2000000-2020000000
χ2422222-22-22222-20000-22-22-2-2-202000-2-200-2000022-200000000200000020-20000000
χ2522222-2-2-2-222220000-2-2-2-22200002-20000200002-2-20000000002-2000000002-20000
χ2622222-2-2-2-222220000-2-2-2-2220000-220000200002-2-2000000000-2200000000-220000
χ2722222-2-2-2-222220000-2-2-2-2-2-200002-2000020000-2220000000002-200000000-220000
χ2822222-2-2-2-222220000-2-2-2-2-2-20000-22000020000-222000000000-22000000002-20000
χ292222-12222-1-1-122222-1-1-1-100222222-1-1-1-1-1-1-1-1-100000002-122-1-1-1-1-1-1-1000000-1000
χ302222-12222-1-1-122222-1-1-1-1002-22-2-2-2-1-111-1-1-1-1-10000000-212-2-111-1-1110000001000
χ312222-12222-1-1-122222-1-1-1-100-22-22-2-211-1-1-1-1-1-1-10000000-2-1-2211111-1-10000001000
χ322222-12222-1-1-122222-1-1-1-100-2-2-2-2221111-1-1-1-1-1000000021-2-21-1-11111000000-1000
χ332222-12222-1-1-12-2-2-2-2-1-1-1-100222222-1-1-1-1-111110000000-2-1-2-2-1-1-111110000001000
χ342222-12222-1-1-12-2-2-2-2-1-1-1-1002-22-2-2-2-1-111-11111000000021-22-11111-1-1000000-1000
χ352222-12222-1-1-12-2-2-2-2-1-1-1-100-22-22-2-211-1-1-1111100000002-12-2111-1-111000000-1000
χ362222-12222-1-1-12-2-2-2-2-1-1-1-100-2-2-2-2221111-111110000000-21221-1-1-1-1-1-10000001000
χ374444-24-44-4-2-2-2-40000-22-2200040-40000222000000000000-20000000000000000000
χ384444-24-44-4-2-2-2-40000-22-22000-4040000-2-2200000000000020000000000000000000
χ394444-2-44-44-2-2-2-400002-22-20040-4000-2-200200000000000000020000000000000000
χ404444-2-44-44-2-2-2-400002-22-200-40400022002000000000000000-20000000000000000
χ414444-2-4-4-4-4-2-2-24000022220000004-40000-20000000000000000-2200000000000000
χ424444-2-4-4-4-4-2-2-2400002222000000-440000-200000000000000002-200000000000000
χ4344-4-4400004-4-4022-2-200004-40000000000022-2-200022-2-2000000000000000000000
χ4444-4-4400004-4-4022-2-20000-440000000000022-2-2000-2-222000000000000000000000
χ4544-4-4400004-4-40-2-22200004-400000000000-2-222000-2-222000000000000000000000
χ4644-4-4400004-4-40-2-2220000-4400000000000-2-22200022-2-2000000000000000000000
χ474-44-44040-4-44-4000000-40400000000000000000000−2i22i2−2i22i2000000000000000000000
χ484-44-44040-4-44-4000000-404000000000000000000002i2−2i22i2−2i2000000000000000000000
χ494-44-440-404-44-40−2i22i2−2i22i2040-40000000000000−2i22i2−2i22i20000000000000000000000000000
χ504-44-440-404-44-402i2−2i22i2−2i2040-400000000000002i2−2i22i2−2i20000000000000000000000000000
χ514-44-4-20-4042-220−2i22i2−2i22i20-20200000000−2i32i3000i2−i2i2−i2000000000000006−6000000000000
χ524-44-4-20-4042-220−2i22i2−2i22i20-202000000002i3−2i3000i2−i2i2−i200000000000000−66000000000000
χ534-44-4-20-4042-2202i2−2i22i2−2i20-20200000000−2i32i3000−i2i2−i2i200000000000000−66000000000000
χ544-44-4-20-4042-2202i2−2i22i2−2i20-202000000002i3−2i3000−i2i2−i2i2000000000000006−6000000000000
χ554-4-44440-40-4-4400000-404000000000000000000000−2i22i22i2−2i2000000000000000000000
χ564-4-44440-40-4-4400000-4040000000000000000000002i2−2i2−2i22i2000000000000000000000
χ574-4-444-4040-4-440−2i22i22i2−2i240-400000000000000−2i22i22i2−2i20000000000000000000000000000
χ584-4-444-4040-4-4402i2−2i2−2i22i240-4000000000000002i2−2i2−2i22i20000000000000000000000000000
χ594-4-44-2-404022-20−2i22i22i2−2i2-2020000000000023−230i2−i2−i2i20000000000000000i6−i60000000000
χ604-4-44-2-404022-20−2i22i22i2−2i2-20200000000000−23230i2−i2−i2i20000000000000000−i6i60000000000
χ614-4-44-2-404022-202i2−2i2−2i22i2-2020000000000023−230−i2i2i2−i20000000000000000−i6i60000000000
χ624-4-44-2-404022-202i2−2i2−2i22i2-20200000000000−23230−i2i2i2−i20000000000000000i6−i60000000000
χ6388-8-8-40000-444044-4-400000000000000000-2-2220000000000000000000000000000
χ6488-8-8-40000-4440-4-4440000000000000000022-2-20000000000000000000000000000
χ658-88-8-4080-84-4400000040-4000000000000000000000000000000000000000000000
χ668-8-88-480-8044-40000040-40000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).